Kali ini, kita akan belajar tentang bangun ruang limas yang merupakan bentuk dari Piramida yang ada di Mesir. Yuk, baca sampai habis di artikel Matematika kelas 8 ini!
—
Kamu tahu nggak, ada sebuah negara di benua Afrika yang mendapat julukan sebagai “Negeri Piramida”? Apakah kamu tahu bahwa Piramida tersebut ternyata berbentuk Limas? Coba tebak negara apakah tersebut?
Yups, betul sekali, Mesir.
Mesir merupakan negara dengan bangunan piramida kuno terbanyak di dunia. Di Mesir, piraminda digunakan sebagai makam-makam raja Mesir Kuno lho. Menariknya, para insinyur yang merencakan membangun piramida, melakukan penghitungan jarak piramida dengan matahari.
Kenapa? Matahari, dalam kehidupan masyarakat Mesir Kuno menjadi salah satu hal yang penting. Oleh karena itu, para ilmuwan modern pun mengakui kehebatan insinyur yang merancang piramida pada saat itu.
Lalu, apakah ada hubungannya piramida di Mesir dengan artikel kali ini?
Tentu jelas ada dong. Kalau kamu perhatikan baik-baik, piramida tersebut merupakan bentuk dari bangun ruang sisi datar. Apakah nama dari bangun ruang sisi datar tersebut?
Nah, bentuk piramida itu mirip dengan bentuk bangun ruang limas, teman-teman! Tepatnya yaitu limas segi empat karena piramida memiliki alas berbentuk segiempat dan memiliki empat sisi tegak.
Piramida Mesir (Sumber: Wikimedia.org)
Apa itu Limas?
Pengertian limas adalah bangun ruang tiga dimensi yang terdiri dari alas berbentuk segi banyak (segitiga, segiempat, segilima, dst) dan sisi-sisi tegak berbentuk segitiga yang bertemu di satu titik puncak.
Jumlah sisi tegak pada limas bergantung pada bentuk alasnya. Misalnya, limas dengan alas berbentuk segi empat akan memiliki empat sisi tegak berbentuk segitiga. Kalau limas segilima, maka jumlah sisi tegaknya pun akan ada lima.
Baca Juga: Pengertian, Sifat, dan Rumus Kubus
Gambar macam-macam bangun limas (Sumber: gstatic.com)
Berikut ini adalah unsur-unsur penyusun limas, yaitu:
-
Alas – Bagian dasar limas yang berbentuk segi banyak (segitiga, segiempat, segilima, atau segienam).
-
Sisi Tegak – Segitiga-segitiga yang menyusun bagian samping limas yang bertemu pada titik puncak.
-
Titik Puncak – Titik tertinggi tempat semua sisi tegak limas bertemu.
-
Rusuk – Garis pertemuan antara dua sisi limas.
-
Tinggi Limas – Jarak tegak lurus dari titik puncak ke tengah alas limas.
-
Titik Sudut – Titik pertemuan antara tiga atau lebih rusuk limas.
-
Diagonal Bidang/Sisi – Garis yang menghubungan antara dua titik sudut yang berhadapan pada setiap sisi limas.
-
Bidang Diagonal: Bidang yang dibatasi oleh rusuk dan diagonal bidang.
Supaya kamu ada bayangan dengan unsur-unsur di atas, kita perhatikan gambar limas di bawah ini, yuk!
Gambar unsur-unsur limas (Sumber: bobo.grid.id)
Berdasarkan gambar di atas, bidang ABCD merupakan bagian alas limas. Bidang ini berbentuk segiempat, sehingga limas di atas bisa dinamakan dengan limas segiempat.
Kemudian, limas di atas juga memiliki empat sisi tegak berbentuk segitiga yang bertemu di titik puncak T, yakni ABT, BCT, CDT, dan DAT.
Baca Juga: Rumus Prisma, Unsur, Sifat, Jenis & Contoh Soal
Ada yang tahu, limas tersebut punya berapa buah rusuk? Banyak rusuk limas segi-n dapat dicari menggunakan rumus 2n. Jadi, jumlah rusuk limas segi-4 tersebut adalah 2 × 4 = 8 rusuk ya, di antaranya:
- rusuk pada bagian alas: AB, BC, CD, DA
- rusuk pada sisi-sisi tegak: AT, BT, CT, DT
Kalau kamu lihat garis lurus yang dibentuk oleh titik puncak limas ke bagian tengah alas limas, itu adalah tinggi limas. Misalkan, titik yang berada di bagian tengah alas limas, kita namakan dengan titik O. Berarti, tinggi limas tersebut adalah TO.
Untuk jumlah titik sudut limas segi-n dapat dicari menggunakan rumus n + 1. Jadi, jumlah titik sudut limas segi-4 adalah 4 + 1 = 5 buah, yakni ∠A, ∠B, ∠C, ∠D, dan ∠T.
Berdasarkan gambar di atas, limas segiempat memiliki 2 diagonal bidang pada bagian alasnya, yakni AC dan BD.
Diagonal bidang limas.
Kalau diagonal ruangnya ada berapa ya? Nah, khusus limas, tidak memiliki diagonal ruang nih, guys. Karena sisi-sisi tegaknya bertemu di satu titik puncak.
Terakhir, limas juga punya bidang diagonal. Jumlah bidang diagonal limas segiempat ada 2, yakni ACT dan BDT. Keduanya berbentuk segitiga.
Contoh bidang diagonal limas segiempat (Sumber: roboguru.com)
Sifat-Sifat Limas
Bangun ruang limas memiliki sifat atau ciri yang membedakannya dari bangun ruang lainnya. Berikut adalah sifat-sifat limas atau ciri-ciri limas yang perlu diketahui:
- Memiliki satu alas berbentuk segi banyak.
- Sisi tegaknya selalu berbentuk segitiga.
- Titik puncaknya adalah titik temu semua sisi tegak.
- Jumlah sisi limas bergantung pada jumlah sisi alasnya.
- Jumlah rusuk limas sama dengan jumlah sisi alas ditambah jumlah sisi tegak.
- Dapat dihitung volumenya menggunakan rumus volume limas.
- Dapat dihitung luas permukaannya menggunakan rumus luas permukaan limas.
Jenis-Jenis Limas
Nah, di awal sudah dijelaskan ya, kalau alas limas lah yang menentukan penamaannya. Berdasarkan bentuk alasnya, macam-macam limas dapat dibedakan menjadi beberapa jenis, sebagai berikut:
Baca Juga: Rumus Balok, Unsur, Ciri-Ciri, dan Contoh Soal
Limas segitiga memiliki alas yang berbentuk segitiga. Limas ini memiliki empat sisi, yaitu tiga sisi tegak dan satu alas.
Gambar limas segitiga (Sumber: roboguru.com)
Limas segiempat memiliki alas yang berbentuk segi empat. Sehingga, limas ini memiliki lima sisi, yakni empat sisi tegak dan satu alas.
Gambar limas segiempat (Sumber: colearn.id)
Limas segilima memiliki alas berbentuk segi lima, sehingga punya enam sisi, yaitu lima sisi tegak dan satu alas.
Gambar limas segilima (Sumber: roboguru.com)
Limas segienam memiliki alasnya yang berbentuk segi enam. Limas segi banyak ini, memiliki tujuh sisi, yaitu enam sisi tegak dan satu alas.
Gambar limas segienam (Sumber: detik.com)
Selain yang sudah disebutkan di atas, ada juga jenis limas segi-n. Contohnya limas segi-7, limas segi-8, limas segi-9, limas segi-10, dan seterusnya.
Gambar limas segi banyak (Sumber: roboguru.com)
Rumus-Rumus Limas
Nah, limas itu juga bisa dihitung volume dan luas permukannya juga lho. Dalam mencari kesemua hal tersebut, kamu harus tahu nih rumus-rumusnya. Seperti apa ya rumus-dalam limas?
Baca Juga: Rumus Bangun Ruang (Luas & Volume) serta Contohnya
a. Rumus Volume Limas
Rumus volume limas secara umum, yaitu:
Volume = 1/3 × luas alas × tinggi limas
Luas alas yang digunakan ini tergantung pada bentuk alas limas yang akan dihitung. Jika alasnya adalah segitiga, maka gunakan rumus limas segitiga. Jika alasnya adalah segi empat, maka gunakan rumus limas segi empat, dan seterusnya. Sebagai contoh:
-
Rumus Volume Limas Segitiga
Jika alas limas berbentuk segitiga, luas alasnya dihitung dengan:
Luas Alas = 1/2 × alas × tinggi segitiga alas
Sehingga, rumus volume limas segi tiga menjadi:
Volume = 1/3 × (1/2 × alas × tinggi segitiga alas) × tinggi limas
-
Rumus Volume Limas Segi Empat
Jika alas limas berbentuk persegi atau persegi panjang, maka luas alasnya adalah:
Luas Alas = panjang alas × lebar alas
Sehingga, rumus volume limas segiempat menjadi:
Volume = 1/3 × (panjang alas × lebar alas) × tinggi limas
-
Rumus Volume Limas Segi Lima
Jika alas limas berbentuk segilima, maka luas alasnya adalah:
Luas Alas = 1,72 × sisi × sisi
Sehingga, rumus volume limas segilima menjadi:
Volume = 1/3 × (1,72 × sisi × sisi) × tinggi limas
-
Rumus Volume Limas Segi Enam
Jika alas limas berbentuk segienam, maka luas alasnya adalah:
Luas Alas = 2,598 × sisi × sisi
Sehingga, rumus volume limas segienam menjadi:
Volume = 1/3 × (2,598 × sisi × sisi) × tinggi limas
b. Rumus Luas Permukaan Limas
Luas permukaan limas secara umum dihitung dengan menjumlahkan luas alas dan luas semua sisi tegaknya. Jika ditulis dalam kalimat matematika, yakni sebagai berikut:
Luas Permukaan = luas alas + jumlah luas sisi-sisi tegak
Sama halnya seperti rumus volume, rumus luas alas yang digunakan tergantung pada bentuk alas limas yang akan dihitung.
-
Rumus Luas Permukaan Limas Segitiga
Rumus luas permukaan limas segitiga adalah:
L = (1/2 × alas × tinggi segitiga alas) + (3 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))
-
Rumus Luas Permukaan Limas Segi Empat
Rumus luas permukaan limas segiempat adalah:
L = (panjang alas × lebar alas) + (4 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))
-
Rumus Luas Permukaan Limas Segi Lima
Rumus luas permukaan limas segilima adalah:
L = (1,72 × sisi × sisi) + (5 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))
-
Rumus Luas Permukaan Limas Segi Enam
Rumus luas permukaan limas segienam adalah:
L = (2,598 × sisi × sisi) + (6 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))
Contoh Soal Limas
Berikut beberapa contoh soal beserta penyelesaiannya:
Contoh Soal 1
Sebuah limas memiliki alas berbentuk persegi dengan panjang sisi 10 cm dan tinggi limas 15 cm. Hitung volume limas!
Penyelesaian:
V = 1/3 × (10 × 10) × 15
= 1/3 × 100 × 15
= 500 cm³
Jadi, volume limas adalah 500 cm³.
Contoh Soal 2
Diketahui limas segi empat memiliki panjang sisi alas 8 cm dan tinggi sisi tegaknya 10 cm. Hitung luas permukaannya!
Penyelesaian:
Luas Alas = 8 × 8 = 64 cm²
Luas Sisi Tegak = 1/2 × 8 × 10 = 40 cm²
Luas Permukaan = 64 + (4 × 40)
= 64 + 160
= 224 cm²
Jadi, luas permukaan limas adalah 224 cm².
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Gimana? Kalian masih bingung belajar tentang limas? Nggak perlu khawatir, kamu bisa kok panggil guru privat matematika ke rumah kamu. Di Ruangguru Privat, ada banyak guru privat yang berpengalaman lho. Kamu bisa pilih guru sesuai dengan yang kamu mau. Yuk, daftar sekarang juga!
Referensi:
https://www.gramedia.com/literasi/limas/?srsltid=AfmBOoqoEuGDBnPoJalNmPi-84eKKvVNbbBcjSsBGyfboIkTKvld76jN (Diakses pada 10 Februari 2025)
https://www.pijarbelajar.id/blog/rumus-limas-luas-permukaan-dan-volume (Diakses pada 10 Februari 2025)
https://adjar.grid.id/read/543173578/limas-pengertian-ciri-ciri-jaring-jaring-dan-rumus?page=all (Diakses pada 10 Februari 2025)
Sumber Gambar:
‘Gambar Limas Segitiga'[Daring]. Tautan: https://roboguru.ruangguru.com/forum/sebutkan-unsur-unsur-limas-segi-tiga-_FRM-N5GERYKO (Diakses pada 14 Maret 2025)
‘Gambar Limas Segiempat’ [Daring]. Tautan: https://colearn.id/tanya/ea6a93b0-3441-4bac-bf17-3f4223715d64/Limas-segi-empat-teratur-TABCD-dengan-AB6-dan-TA5-Titik-P-dan-R-tengah-tengah-TC-dan-AD-Titik-Q (Diakses pada 14 Maret 2025)
‘Gambar Limas Segilima’ [Daring]. Tautan: https://roboguru.ruangguru.com/question/limas-segilima-memiliki-rusuk-sebanyak-_QU-DOROSH1R (Diakses pada 14 Maret 2025)
‘Gambar Limas Segienam’ [Daring]. Tautan: https://www.detik.com/edu/detikpedia/d-6436487/mengenal-bentuk-bentuk-limas-beserta-sifat-dan-rumusnya (Diakses pada 14 Maret 2025)
‘Gambar Limas Segisembilan’ [Daring]. Tautan: https://roboguru.ruangguru.com/question/perhatikan-pernyataan-berikut-i-memiliki-11-sisi-ii-memiliki-18-rusuk-iii_QU-W3X7YOPG (Diakses pada 14 Maret 2025)
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<h1 class="content-title">
Rumus Luas & Volume Limas serta Contoh Soalnya | Matematika Kelas 8 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/kenya-swawikanti" class="">Kenya Swawikanti</a> </p>
<p class="content-info"><span>March 14, 2025 • </span> <span>8 minutes read</span></p>
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<p style="text-align: center;"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/93d2ac22-c149-4ddd-8f8a-1c1f0a2519a3.png" alt="rumus limas" /></p>
<blockquote>
<p style="text-align: center;"><em><span style="font-weight: 400;">Kali ini, kita akan belajar tentang <strong>bangun ruang limas</strong> yang merupakan bentuk dari Piramida yang ada di Mesir. Yuk, baca sampai habis di <strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-8">artikel Matematika kelas 8</a></strong> ini!</span></em></p>
</blockquote>
<p style="text-align: center;">—</p>
<p> </p>
<p style="text-align: justify;">Kamu tahu nggak, ada sebuah negara di benua Afrika yang mendapat julukan sebagai “Negeri Piramida”? Apakah kamu tahu bahwa Piramida tersebut ternyata berbentuk Limas? Coba tebak negara apakah tersebut?</p>
<p style="text-align: justify;">Yups, betul sekali, Mesir.</p>
<p style="text-align: justify;">Mesir merupakan negara dengan bangunan piramida kuno terbanyak di dunia. Di Mesir, piraminda digunakan sebagai makam-makam raja Mesir Kuno lho. Menariknya, para insinyur yang merencakan membangun piramida, melakukan penghitungan jarak piramida dengan matahari.</p>
<p style="text-align: justify;">Kenapa? Matahari, dalam kehidupan masyarakat Mesir Kuno menjadi salah satu hal yang penting. Oleh karena itu, para ilmuwan modern pun mengakui kehebatan insinyur yang merancang piramida pada saat itu.</p>
<p style="text-align: justify;">Lalu, apakah ada hubungannya piramida di Mesir dengan artikel kali ini?</p>
<p style="text-align: justify;">Tentu jelas ada dong. Kalau kamu perhatikan baik-baik, piramida tersebut merupakan bentuk dari bangun ruang sisi datar. Apakah nama dari bangun ruang sisi datar tersebut?</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, bentuk piramida itu mirip dengan bentuk bangun ruang limas, teman-teman! Tepatnya yaitu limas segi empat karena piramida memiliki alas berbentuk segiempat dan memiliki empat sisi tegak. </span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/e2a6d2cd-7f23-43aa-a733-9d17196780d0.jpg" alt="gambar piramida mesir" width="500" /></p>
<p style="text-align: center;">Piramida Mesir (Sumber: Wikimedia.org)</p>
<p> </p>
<h2><span style="font-size: 18pt;">Apa itu Limas?</span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Pengertian limas adalah bangun ruang tiga dimensi yang terdiri dari <strong>alas berbentuk segi banyak</strong> (segitiga, segiempat, segilima, dst) dan <strong>sisi-sisi tegak berbentuk segitiga yang bertemu di satu titik puncak</strong>.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jumlah sisi tegak pada limas bergantung pada bentuk alasnya. Misalnya, limas dengan alas berbentuk segi empat akan memiliki empat sisi tegak berbentuk segitiga. Kalau limas segilima, maka jumlah sisi tegaknya pun akan ada lima.</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/pengertian-sifat-dan-rumus-kubus">Pengertian, Sifat, dan Rumus Kubus</a></strong></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/2b33ce04-75ed-4344-9af6-fc2aa96b945c.png" alt="jenis-jenis limas" width="600" /></p>
<p style="text-align: center;"><span style="font-weight: 400;">Gambar macam-macam bangun limas (Sumber: gstatic.com)</span></p>
<p> </p>
<h2><span style="font-size: 18pt;">Unsur-Unsur Limas</span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Berikut ini adalah unsur-unsur penyusun limas, yaitu:</span></p>
<ul>
<li style="text-align: justify;"><strong>Alas</strong><span style="font-weight: 400;"> – Bagian dasar limas yang berbentuk segi banyak (segitiga, segiempat, segilima, atau segienam).</span></li>
<li style="text-align: justify;"><strong>Sisi Tegak</strong><span style="font-weight: 400;"> – Segitiga-segitiga yang menyusun bagian samping limas yang bertemu pada titik puncak.</span></li>
<li style="text-align: justify;"><strong>Titik Puncak</strong><span style="font-weight: 400;"> – Titik tertinggi tempat semua sisi tegak limas bertemu.</span></li>
<li style="text-align: justify;"><strong>Rusuk</strong><span style="font-weight: 400;"> – Garis pertemuan antara dua sisi limas.</span></li>
<li style="text-align: justify;"><strong>Tinggi Limas</strong> – Jarak tegak lurus dari titik puncak ke tengah alas limas.</li>
<li><strong>Titik Sudut – </strong>Titik pertemuan antara tiga atau lebih rusuk limas.</li>
<li><strong>Diagonal Bidang/Sisi –</strong> Garis yang menghubungan antara dua titik sudut yang berhadapan pada setiap sisi limas.</li>
<li><strong>Bidang Diagonal</strong>: Bidang yang dibatasi oleh rusuk dan diagonal bidang.</li>
</ul>
<p> </p>
<p style="text-align: justify;">Supaya kamu ada bayangan dengan unsur-unsur di atas, kita perhatikan gambar limas di bawah ini, yuk!</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/0cdf60fd-ca11-4f4c-a799-8384f62f2212.jpg" alt="unsur-unsur limas" width="500" /></p>
<p style="text-align: center;">Gambar unsur-unsur limas (Sumber: bobo.grid.id)</p>
<p> </p>
<p style="text-align: justify;">Berdasarkan gambar di atas, <strong>bidang ABCD merupakan bagian alas limas</strong>. Bidang ini berbentuk segiempat, sehingga limas di atas bisa dinamakan dengan limas segiempat.</p>
<p style="text-align: justify;">Kemudian, limas di atas juga memiliki <strong>empat sisi tegak berbentuk segitiga</strong> yang bertemu di<strong> titik puncak T</strong>,<strong> yakni ABT, BCT, CDT,</strong> dan <strong>DAT</strong>.</p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/pengertian-sifat-dan-rumus-rumus-prisma">Rumus Prisma, Unsur, Sifat, Jenis & Contoh Soal</a></strong></p>
<p style="text-align: justify;">Ada yang tahu, limas tersebut punya berapa buah rusuk? <strong>Banyak rusuk limas segi-n</strong> dapat dicari menggunakan rumus <strong>2n</strong>. Jadi, <strong>jumlah rusuk limas segi-4</strong> tersebut adalah 2 × 4 =<strong> 8 rusuk</strong> ya, di antaranya:</p>
<ul>
<li>rusuk pada bagian alas: <strong>AB, BC, CD, DA</strong></li>
<li>rusuk pada sisi-sisi tegak: <strong>AT, BT, CT, DT</strong></li>
</ul>
<p> </p>
<p style="text-align: justify;">Kalau kamu lihat garis lurus yang dibentuk oleh titik puncak limas ke bagian tengah alas limas, itu adalah tinggi limas. Misalkan, titik yang berada di bagian tengah alas limas, kita namakan dengan titik O. Berarti, <strong>tinggi limas tersebut adalah TO</strong>.</p>
<p style="text-align: justify;">Untuk<strong> jumlah titik sudut limas segi-n </strong>dapat dicari menggunakan rumus<strong> n + 1. </strong>Jadi,<strong> jumlah titik sudut limas segi-4 </strong>adalah 4 + 1 =<strong> 5 buah, yakni ∠A, ∠B, ∠C, ∠D, dan ∠T</strong>.</p>
<p style="text-align: justify;">Berdasarkan gambar di atas, limas segiempat memiliki <strong>2 diagonal bidang pada bagian alasnya, yakni AC dan BD</strong>.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/53f45724-0f31-41d4-b365-9c472d147cf5.png" alt="diagonal bidang limas segiempat" width="350" /></p>
<p style="text-align: center;">Diagonal bidang limas.</p>
<p> </p>
<p style="text-align: justify;">Kalau diagonal ruangnya ada berapa ya? Nah, khusus <strong>limas, tidak memiliki diagonal ruang</strong> nih, guys. Karena sisi-sisi tegaknya bertemu di satu titik puncak.</p>
<p style="text-align: justify;">Terakhir, limas juga punya bidang diagonal. Jumlah bidang diagonal limas segiempat ada 2, yakni ACT dan BDT. Keduanya berbentuk segitiga.</p>
<p><img fetchpriority="high" decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/3abff419-c035-4b84-8589-7bd034683625.png" alt="contoh bidang diagonal limas segiempat" width="318" height="262" /></p>
<p style="text-align: center;">Contoh bidang diagonal limas segiempat (Sumber: roboguru.com)</p>
<p> </p>
<h2><span style="font-size: 18pt;"><b>Sifat-Sifat Limas</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Bangun ruang limas memiliki sifat atau ciri yang membedakannya dari bangun ruang lainnya. Berikut adalah sifat-sifat limas atau ciri-ciri limas yang perlu diketahui:</span></p>
<ul>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Memiliki satu alas berbentuk segi banyak.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Sisi tegaknya selalu berbentuk segitiga.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Titik puncaknya adalah titik temu semua sisi tegak.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Jumlah sisi limas bergantung pada jumlah sisi alasnya.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Jumlah rusuk limas sama dengan jumlah sisi alas ditambah jumlah sisi tegak.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Dapat dihitung volumenya menggunakan rumus volume limas.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Dapat dihitung luas permukaannya menggunakan rumus luas permukaan limas.</span></li>
</ul>
<p> </p>
<h2><span style="font-size: 18pt;">Jenis-Jenis Limas</span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, di awal sudah dijelaskan ya, kalau alas limas lah yang menentukan penamaannya. Berdasarkan bentuk alasnya, macam-macam limas dapat dibedakan menjadi beberapa jenis, sebagai berikut:</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/pengertian-sifat-dan-rumus-rumus-balok">Rumus Balok, Unsur, Ciri-Ciri, dan Contoh Soal</a></strong></p>
<p> </p>
<ul>
<li style="text-align: justify;">
<h3><span style="font-size: 14pt;"><b>Limas Segitiga</b> </span></h3>
</li>
</ul>
<p style="text-align: justify;"><span style="font-weight: 400;">Limas segitiga memiliki alas yang berbentuk segitiga. Limas ini memiliki empat sisi, yaitu tiga sisi tegak dan satu alas.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/56528ac9-29db-495c-85c6-1a34e6250d01.png" alt="gambar limas segitiga" /></p>
<p style="text-align: center;">Gambar limas segitiga (Sumber: roboguru.com)</p>
<p> </p>
<ul>
<li style="text-align: justify;">
<h3><span style="font-size: 14pt;"><b>Limas Segi Empat</b> </span></h3>
</li>
</ul>
<p style="text-align: justify;"><span style="font-weight: 400;">Limas segiempat memiliki alas yang berbentuk segi empat. Sehingga, limas ini memiliki lima sisi, yakni empat sisi tegak dan satu alas.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/f6069085-8339-4216-af18-001aebbe4469.png" alt="gambar limas segiempat" /></p>
<p style="text-align: center;">Gambar limas segiempat (Sumber: colearn.id)</p>
<p> </p>
<ul>
<li style="text-align: justify;">
<h3><span style="font-size: 14pt;"><b>Limas Segi Lima</b> </span></h3>
</li>
</ul>
<p style="text-align: justify;"><span style="font-weight: 400;">Limas segilima memiliki alas berbentuk segi lima, sehingga punya enam sisi, yaitu lima sisi tegak dan satu alas.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/8e1e0552-6d9e-45b9-89ae-40dce968b6b6.png" alt="gambar limas segilima" width="200" /></p>
<p style="text-align: center;">Gambar limas segilima (Sumber: roboguru.com)</p>
<ul>
<li style="text-align: justify;">
<h3><span style="font-size: 14pt;"><b>Limas Segi Enam</b> </span></h3>
</li>
</ul>
<p style="text-align: justify;">Limas segienam memiliki alasnya yang berbentuk segi enam. Limas segi banyak ini, memiliki tujuh sisi, yaitu enam sisi tegak dan satu alas.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/65907dbb-5882-4bdb-8573-196add47ff6a.jpeg" alt="gambar limas segienam" width="200" /></p>
<p style="text-align: center;">Gambar limas segienam (Sumber: detik.com)</p>
<p> </p>
<ul>
<li>
<h3><span style="font-size: 14pt;">Limas Segi-n</span></h3>
</li>
</ul>
<p style="text-align: justify;">Selain yang sudah disebutkan di atas, ada juga jenis limas segi-n. Contohnya limas segi-7, limas segi-8, limas segi-9, limas segi-10, dan seterusnya.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/542d67f9-a238-478e-acfe-afaa2285829a.png" alt="gambar limas segi-n" width="132" /></p>
<p style="text-align: center;">Gambar limas segi banyak (Sumber: roboguru.com)</p>
<p> </p>
<h2><span style="font-size: 18pt;">Rumus-Rumus Limas</span></h2>
<p style="text-align: justify;">Nah, limas itu juga bisa dihitung volume dan luas permukannya juga lho. Dalam mencari kesemua hal tersebut, kamu harus tahu nih rumus-rumusnya. Seperti apa ya rumus-dalam limas?</p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/rumus-luas-dan-volume-bangun-ruang">Rumus Bangun Ruang (Luas & Volume) serta Contohnya</a></strong></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>a. Rumus Volume Limas</b></span></h3>
<p><span style="font-weight: 400;">Rumus volume limas secara umum, yaitu:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Volume = 1/3 × luas alas × tinggi limas</span></strong></p>
</blockquote>
<p> </p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas alas yang digunakan ini tergantung pada bentuk alas limas yang akan dihitung. Jika alasnya adalah segitiga, maka gunakan rumus limas segitiga. Jika alasnya adalah segi empat, maka gunakan rumus limas segi empat, dan seterusnya. Sebagai contoh:</span></p>
<p> </p>
<ul>
<li>
<h4><b>Rumus Volume Limas Segitiga</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Jika alas limas berbentuk segitiga, luas alasnya dihitung dengan:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Luas Alas = 1/2 × alas × tinggi segitiga alas</span></strong></p>
</blockquote>
<p> </p>
<p><span style="font-weight: 400;">Sehingga, rumus volume limas segi tiga menjadi:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Volume = 1/3 × (1/2 × alas × tinggi segitiga alas) × tinggi limas</span></strong></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Volume Limas Segi Empat</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Jika alas limas berbentuk persegi atau persegi panjang, maka luas alasnya adalah:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Luas Alas = panjang alas × lebar alas</span></strong></p>
</blockquote>
<p> </p>
<p><span style="font-weight: 400;">Sehingga, rumus volume limas segiempat menjadi:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Volume = 1/3 × (panjang alas × lebar alas) × tinggi limas</span></strong></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Volume Limas Segi Lima</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Jika alas limas berbentuk segilima, maka luas alasnya adalah:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>Luas Alas = 1,72 × sisi × sisi</strong></span></p>
</blockquote>
<p> </p>
<p><span style="font-weight: 400;">Sehingga, rumus volume limas segilima menjadi:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>Volume = 1/3 × (1,72 × sisi × sisi) × tinggi limas</strong></span></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Volume Limas Segi Enam</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Jika alas limas berbentuk segienam, maka luas alasnya adalah:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>Luas Alas = 2,598 × sisi × sisi</strong></span></p>
</blockquote>
<p> </p>
<p><span style="font-weight: 400;">Sehingga, rumus volume limas segienam menjadi:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Volume = 1/3 × (2,598 × sisi × sisi) × tinggi limas</span></strong></p>
</blockquote>
<p> </p>
<h3><span style="font-size: 14pt;"><b>b. Rumus Luas Permukaan Limas</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas permukaan limas secara umum dihitung dengan menjumlahkan luas alas dan luas semua sisi tegaknya. Jika ditulis dalam kalimat matematika, yakni sebagai berikut:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Luas Permukaan = luas alas + jumlah luas sisi-sisi tegak</span></strong></p>
</blockquote>
<p> </p>
<p><span style="font-weight: 400;">Sama halnya seperti rumus volume, rumus luas alas yang digunakan tergantung pada bentuk alas limas yang akan dihitung. </span></p>
<p> </p>
<ul>
<li>
<h4><b>Rumus Luas Permukaan Limas Segitiga</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Rumus luas permukaan limas segitiga adalah:</span></p>
<blockquote>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">L = (1/2 × alas × tinggi segitiga alas) + (3 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))</span></strong></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Luas Permukaan Limas Segi Empat</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Rumus luas permukaan limas segiempat adalah:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>L = (panjang alas × lebar alas) + (4 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))</strong></span></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Luas Permukaan Limas Segi Lima</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Rumus luas permukaan limas segilima adalah:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>L = (1,72 × sisi × sisi) + (5 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))</strong></span></p>
</blockquote>
<p> </p>
<ul>
<li>
<h4><b>Rumus Luas Permukaan Limas Segi Enam</b></h4>
</li>
</ul>
<p><span style="font-weight: 400;">Rumus luas permukaan limas segienam adalah:</span></p>
<blockquote>
<p style="text-align: center;"><span style="font-size: 14pt;"><strong>L = (2,598 × sisi × sisi) + (6 × (1/2 × panjang sisi alas × tinggi segitiga sisi tegak))</strong></span></p>
</blockquote>
<p> </p>
<h2><span style="font-size: 18pt;">Contoh Soal Limas</span></h2>
<p><span style="font-weight: 400;">Berikut beberapa contoh soal beserta penyelesaiannya:</span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>Contoh Soal 1</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah limas memiliki alas berbentuk persegi dengan panjang sisi 10 cm dan tinggi limas 15 cm. Hitung volume limas!</span></p>
<p><strong>Penyelesaian:</strong></p>
<p><span style="font-weight: 400;">V = </span><span style="font-weight: 400;">1/</span><span style="font-weight: 400;">3</span><span style="font-weight: 400;"> × (10 × 10) × 15</span></p>
<p><span style="font-weight: 400;"> = </span><span style="font-weight: 400;">1/</span><span style="font-weight: 400;">3</span><span style="font-weight: 400;"> × 100 × 15</span></p>
<p><span style="font-weight: 400;"> = 500 cm³</span></p>
<p><span style="font-weight: 400;">Jadi, volume limas adalah </span><strong>500 cm³</strong><span style="font-weight: 400;">.</span></p>
<p> </p>
<h3><span style="font-size: 14pt;"><b>Contoh Soal 2</b></span></h3>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui limas segi empat memiliki panjang sisi alas 8 cm dan tinggi sisi tegaknya 10 cm. Hitung luas permukaannya!</span></p>
<p><strong>Penyelesaian:</strong></p>
<p><span style="font-weight: 400;">Luas Alas = 8 × 8 = 64 cm²</span></p>
<p><span style="font-weight: 400;">Luas Sisi Tegak = 1/2 × 8 × 10 = 40 cm²</span></p>
<p><span style="font-weight: 400;">Luas Permukaan = 64 + (4 × 40) </span></p>
<p><span style="font-weight: 400;"> = 64 + 160 </span></p>
<p><span style="font-weight: 400;"> = 224 cm²</span></p>
<p><span style="font-weight: 400;">Jadi, luas permukaan limas adalah </span><strong>224 cm²</strong><span style="font-weight: 400;">.</span></p>
<p style="text-align: center;"><span style="font-weight: 400;">—</span></p>
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<p><a href="https://cta.ruangguru.com/blog-rg-10-privat-b"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/84b6f2c7-9c9c-480d-a218-7961334af9ce.png" alt="CTA Ruangguru Privat" /></a></p>
<p><strong>Referensi:</strong></p>
<p style="text-align: left;">https://www.gramedia.com/literasi/limas/?srsltid=AfmBOoqoEuGDBnPoJalNmPi-84eKKvVNbbBcjSsBGyfboIkTKvld76jN (Diakses pada 10 Februari 2025)</p>
<p style="text-align: left;">https://www.pijarbelajar.id/blog/rumus-limas-luas-permukaan-dan-volume (Diakses pada 10 Februari 2025)</p>
<p style="text-align: left;">https://adjar.grid.id/read/543173578/limas-pengertian-ciri-ciri-jaring-jaring-dan-rumus?page=all (Diakses pada 10 Februari 2025)</p>
<p><strong>Sumber Gambar:</strong></p>
<p style="text-align: left;">‘Gambar Limas Segitiga'[Daring]. Tautan: https://roboguru.ruangguru.com/forum/sebutkan-unsur-unsur-limas-segi-tiga-_FRM-N5GERYKO (Diakses pada 14 Maret 2025)</p>
<p style="text-align: left;">‘Gambar Limas Segiempat’ [Daring]. Tautan: https://colearn.id/tanya/ea6a93b0-3441-4bac-bf17-3f4223715d64/Limas-segi-empat-teratur-TABCD-dengan-AB6-dan-TA5-Titik-P-dan-R-tengah-tengah-TC-dan-AD-Titik-Q (Diakses pada 14 Maret 2025)</p>
<p style="text-align: left;">‘Gambar Limas Segilima’ [Daring]. Tautan: https://roboguru.ruangguru.com/question/limas-segilima-memiliki-rusuk-sebanyak-_QU-DOROSH1R (Diakses pada 14 Maret 2025)</p>
<p style="text-align: left;">‘Gambar Limas Segienam’ [Daring]. Tautan: https://www.detik.com/edu/detikpedia/d-6436487/mengenal-bentuk-bentuk-limas-beserta-sifat-dan-rumusnya (Diakses pada 14 Maret 2025)</p>
<p style="text-align: left;">‘Gambar Limas Segisembilan’ [Daring]. Tautan: https://roboguru.ruangguru.com/question/perhatikan-pernyataan-berikut-i-memiliki-11-sisi-ii-memiliki-18-rusuk-iii_QU-W3X7YOPG (Diakses pada 14 Maret 2025)</p>
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right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>