Artikel Matematika kelas 9 ini menjelaskan tentang bagaimana cara menghitung luas permukaan, keliling, dan volume tabung berdasarkan rumusnya. Artikel ini juga menyertakan beberapa contoh soal untuk menambah pemahaman kamu.
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Coba kamu cek di dapur rumah kamu deh, bukan mengecek makanan lho ya. Kita akan belajar matematika di dapur nih. “Seriusan? Di dapur bukannya buat masak? Kenapa jadi belajar matematika?”.
Itulah hebatnya, di sekitar kita banyak yang bisa dipelajari dengan matematika, termasuk di dapur. Contohnya, dengan mempelajari luas permukaan dan volume tabung gas elpiji.
Tabung gas LPG 3 kg (sumber: neuronanima.com)
Tapi, apa sih tabung itu?
Pengertian Tabung
Tabung adalah salah satu jenis bangun ruang tiga dimensi yang memiliki dua bidang berbentuk lingkaran sebagai alas dan tutup, serta satu bidang lengkung yang disebut selimut. Selimut tabung berbentuk persegi panjang jika dibuka atau direntangkan.
Secara umum, tabung termasuk dalam kelompok bangun ruang sisi lengkung, bersama dengan kerucut dan bola.
Sifat-Sifat Tabung
Tabung memiliki beberapa sifat atau ciri-ciri khusus, di antaranya sebagai berikut:
Bagian-Bagian Tabung
Nah, setelah mengetahui sifat-sifat tabung, kita meluncur ke bagian-bagian tabung, ya. Seperti yang digambarkan di bawah. Tabung memiliki alas dan tutup berupa lingkaran, serta selimut berupa persegi panjang.
Setiap bangun ruang memiliki volume dan luas permukaan. Perbedaan antara luas permukaan dan volume, terletak pada apa yang diukur dan satuan yang digunakan. Luas permukaan adalah jumlah seluruh area permukaan luar dari suatu bangun ruang. Sementara itu, volume adalah ukuran seberapa banyak ruang yang dapat diisi oleh suatu bangun ruang, atau bisa juga disebut kapasitasnya.
Berhubung tabung juga merupakan bangun ruang, berarti tabung juga ada volume dan luas permukaannya yang bisa dihitung dong. Yuk, kita pelajari cara menghitungnya!
Baca Juga: Cara Menghitung Luas dan Permukaan Bola
Luas permukaan tabung dapat dikatakan sebagai luas dari jumlah sisi yang dimiliki tabung. Nah, jumlah sisi yang dimiliki tabung sama dengan bidang-bidang pembentuk tabung, yaitu alas, tutup, dan selimutnya.
Tapiii, kamu harus tau nih, jenis tabung itu terbagi menjadi 2, yaitu tabung tertutup dan tabung terbuka. Bedanya apa?
Tabung tertutup itu, memiliki 3 bidang pembentuk, antara lain dua buah lingkaran yang menjadi alas dan tutupnya, serta satu buah selimut tabung yang berbentuk persegi panjang. Sementara itu, pada tabung terbuka, tidak memiliki bidang penutup. Jadi, bentuknya kayak tanki/ember yang tidak memiliki tutup.
Luas permukaan inilah yang memengaruhi besar dan kecilnya suatu tabung. Makanya kalau kamu perhatikan, ada beberapa macam gas dengan ukuran tabung yang berbeda-beda. Ada tabung hijau dan yang biru.
Ukuran ini juga yang nantinya menjadi perhitungan untuk mengisi volume tabung itu sendiri. Kalau tabung gas hijau itu berat bersihnya 3 kilogram, sedangkan ada tabung gas yang berwarna biru berat bersihnya 12 kilogram. Ukurannya saja sudah beda. Volumenya juga pasti beda.
Baca Juga: Rumus Luas & Volume Kerucut Serta Contoh Soalnya
Oke, kembali ke cara menghitung luas permukaan ya.
Karena jenis tabung ada 2, maka rumus luas permukaan tabung juga ada 2, tergantung dari jenisnya. Coba perhatikan gambar berikut ini dulu, ya.
Gambar di atas merupakan bagian-bagian tabung tertutup karena memiliki alas dan tutup. Cara menghitung luas permukaan tabung berdasarkan gambar diatas cukup mudah nih. Kamu hanya menjumlahkan luas dua lingkaran dan satu persegi panjang yang dimiliki oleh tabung.
Rumus Luas Permukaan Tabung Tertutup
Rumus Luas Permukaan Tabung Terbuka
Lalu, bagaimana dengan luas permukaan tabung terbuka? Gampang juga! Kamu tinggal kurangi saja dengan luas permukaan tutupnya. Sehingga, rumusnya menjadi seperti ini:
Luas Permukaan Tabung Terbuka = Luas Alas + Luas Selimut
LPterbuka = 2πr2 + πrt
Cara Menghitung Luas Permukaan Tabung
Nghokeey, supaya kamu nggak bingung sama rumus-rumus di atas, kita coba kerjakan contoh soal di bawah ini!
Contoh Soal
Aldebaran punya botol minum berbentuk tabung dengan diameter 14 cm dan tinggi 25 cm. Hitunglah luas permukaan botol minum tersebut!
Pembahasan:
Diketahui: diameter alas tabung (d) = 14 cm, berarti jari-jarinya adalah 1/2 kali diameternya, yaitu 7 cm. Kemudian, tinggi tabung (t) = 25 cm.
Ditanya: Luas permukaan tabung …?
Jawab:
Lp = 2πr (r + t)
Lp = 2 (22/7) (7) (7 + 25)
Lp = 44 (32)
Lp = 1408 cm2
Jadi, luas permukaan tabung atau botol minum Aldebaran adalah 1408 cm2.
Lalu, bagaimana dengan cara menghitung luas permukaan tabung? Yuk, simak pembahasan berikut!
Rumus Volume Tabung
Nah, untuk menghitung volume tabung tinggal menghitung luas alas dan tinggi tabung. Hmm, ada rumusnya nggak ya? Ada kok. Kamu cukup dengan mengalikan luas alas dan tinggi. Luas alasnya ‘kan berbentuk lingkaran, jadi cari pakai rumus mencari luas lingkaran yakni:
Cara Menghitung Volume Tabung
Coba yuk sekarang kita kerjakan latihan soal di bawah ini!
Contoh Soal
Sebuah tabung yang memiliki jari-jari sepanjang 7 cm dengan tinggi 35 cm akan diisi air. Tentukanlah volume air yang bisa mengisi tabung tersebut!
Penyelesaian:
Diketahui: jari-jari tabung (r) = 7 cm dan tinggi tabung (t) = 35 cm.
Ditanya: Volume air…?
Jawab:
Volume air sama dengan volume tabung. Kenapa? Karena air akan mengikuti bentuk dan ukuran tabung. Jadi,
V = π⋅r2⋅t
V = (22/7)⋅(72)⋅(35)
V = 5390 cm3
Jadi, volume air yang dapat mengisi tabung tersebut adalah sebesar 5390 cm3. Mudah, ya?
Rumus Keliling Alas/Tutup Tabung
Cara menghitung keliling alas atau tutup tabung itu gampil banget! Karena alas dan tutup tabung berbentuk lingkaran, jadi kamu bisa menggunakan rumus keliling lingkaran untuk mencari keliling alas dan tutupnya.
Hayo, ada yang masih ingat, apa itu rumus keliling lingkaran?
Keliling Alas/Tutup Tabung = Keliling Lingkaran = 2 π r
Cara Menghitung Keliling Alas/Tutup Tabung
Sekarang, kita masuk ke contoh soalnya yuk biar kamu makin paham.
Contoh Soal
Diketahui sebuah tabung memiliki jari-jari 7 cm. Hitunglah keliling alas tabung tersebut!
Penyelesaian:
Diketahui: r = 7 cm
Ditanya: K?
Jawab:
K = 2 π r
K = 2 × 22/7 × 7
K = 308/7
K = 44 cm
Jadi, keliling alas pada tabung tersebut adalah 44 cm.
Baca Juga: Cara Menghitung Luas Permukaan dan Volume Gabungan Bangun Ruang Sisi Lengkung
Aspek
Rumus Matematika
Luas Permukaan Tabung Tertutup
LPtertutup = 2πr (r + t)
Luas Permukaan Tabung Terbuka (hanya ada alas/tutup)
LPterbuka = 2πr2 + πrt
Luas Permukaan Tabung Terbuka (hanya ada selimut)
LPterbuka = 2πr2
Volume Tabung
V = πr2t
Kelulung Alas/Tutup Tabung
2πr
Contoh Soal Tabung
Oke, selesai sudah pembahasan kita mengenai cara menghitung luas permukaan dan volume tabung. Nah, supaya kamu semakin mahir lagi nih terhadap materi, coba jawab soal berikut dan berikan jawaban yang menurut kamu benar di kolom komentar ya.
Nah, itulah pembahasan mengenai rumus volume tabung, luas permukaan, serta keliling alas atau tutupnya. Kalo kamu masih mau bahas soal dan kenalan sama bangun ruang sisi lengkung lainnya, langsung aja ke ruangbelajar!
Banyak soal-soal terupdate, lengkap dengan pembahasannya yang bikin pemahaman konsep kamu meningkat. Kalo pemahaman kamu udah oke, pasti soal-soal HOTS dengan variasi apapun bisa kamu selesaikan deh, so tunggu apalagi!
Referensi:
Subchan, Winarni, Hanafi L, dkk. (2015) Matematika SMP/MTs Kelas IX Semester 1. Jakarta: Kementerian Pendidikan dan Kebudayaan
Sumber Foto:
Foto ‘Tabung Elpiji’ [Daring]. Tautan: https://www.tokopedia.com/tokocahayabaruu/tabung-gas-3kg-go-send?whid=0 (Diakses: 23 Desember 2020)
Meme ‘Keselek tabung gas’ [Daring]. Tautan: https://www.memekocak.my.id/2017/04/30-meme-kocak-dan-gambar-lucu-tabung.html (Diakses: 23 Desember 2020)
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<h1 class="content-title">
Rumus Volume Tabung, Luas Permukaan & Keliling Alas | Matematika Kelas 9 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/tedy-rizkha-heryansyah" class="">Tedy Rizkha Heryansyah</a> </p>
<p class="content-info"><span>June 18, 2025 • </span> <span>6 minutes read</span></p>
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<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-02.jpg" alt="Cara Menghitung Luas dan Volume Tabung" width="820" /></p>
<blockquote>
<p style="text-align: center;"><em><strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-9">Artikel Matematika kelas 9</a></strong> ini menjelaskan tentang bagaimana cara menghitung luas permukaan, keliling, dan volume tabung berdasarkan rumusnya. Artikel ini juga menyertakan beberapa contoh soal untuk menambah pemahaman kamu.</em></p>
</blockquote>
<p style="text-align: center;">—</p>
<p> </p>
<p style="text-align: justify;">Coba kamu cek di dapur rumah kamu deh, bukan mengecek makanan lho ya. Kita akan belajar matematika di dapur nih. “Seriusan? Di dapur bukannya buat masak? Kenapa jadi <strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-9">belajar matematika</a></strong>?”.</p>
<p style="text-align: justify;">Itulah hebatnya, di sekitar kita banyak yang bisa dipelajari dengan matematika, termasuk di dapur. Contohnya, dengan mempelajari luas permukaan dan volume tabung gas elpiji.</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/6e1eb50f-1b6b-4688-b442-1f43f667aeae.jpg" alt="tabung gas elpiji 3kg" width="400" /></p>
<p style="text-align: center;">Tabung gas LPG 3 kg (sumber: neuronanima.com)</p>
<p> </p>
<p style="text-align: justify;">Tapi, apa sih tabung itu?</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Pengertian Tabung</span></h2>
<p style="text-align: justify;">Tabung adalah salah satu jenis bangun ruang tiga dimensi yang memiliki <strong>dua bidang berbentuk lingkaran</strong> <strong>sebagai alas dan tutup</strong>, serta <strong>satu bidang lengkung yang disebut selimut</strong>. Selimut tabung berbentuk persegi panjang jika dibuka atau direntangkan.</p>
<p style="text-align: justify;">Secara umum, tabung termasuk dalam kelompok bangun ruang sisi lengkung, bersama dengan kerucut dan bola.</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Sifat-Sifat Tabung</span></h2>
<p style="text-align: justify;">Tabung memiliki beberapa sifat atau ciri-ciri khusus, di antaranya sebagai berikut:</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-03.jpg" alt="Sifat-Sifat Tabung" width="600" /></p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Bagian-Bagian Tabung</span></h2>
<p style="text-align: justify;">Nah, setelah mengetahui sifat-sifat tabung, kita meluncur ke bagian-bagian tabung, ya. Seperti yang digambarkan di bawah. Tabung memiliki alas dan tutup berupa lingkaran, serta selimut berupa persegi panjang.</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-07.jpg" alt="Bagian-Bagian Tabung" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Setiap bangun ruang memiliki volume dan luas permukaan. Perbedaan antara luas permukaan dan volume, terletak pada apa yang diukur dan satuan yang digunakan. <strong>Luas permukaan</strong> adalah <strong>jumlah seluruh area permukaan luar</strong> dari suatu bangun ruang. Sementara itu, <strong>volume</strong> adalah ukuran seberapa <strong>banyak ruang yang dapat diisi oleh suatu bangun ruang</strong>, atau bisa juga disebut kapasitasnya.</p>
<p style="text-align: justify;">Berhubung tabung juga merupakan bangun ruang, berarti tabung juga ada volume dan luas permukaannya yang bisa dihitung dong. Yuk, kita pelajari cara menghitungnya!</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/menghitung-luas-dan-volume-bola">Cara Menghitung Luas dan Permukaan Bola</a></strong></p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Rumus Luas Permukaan Tabung</span></h2>
<p style="text-align: justify;">Luas permukaan tabung dapat dikatakan sebagai <strong>luas dari jumlah sisi yang dimiliki tabung</strong>. Nah, jumlah sisi yang dimiliki tabung sama dengan bidang-bidang pembentuk tabung, yaitu alas, tutup, dan selimutnya.</p>
<p style="text-align: justify;">Tapiii, kamu harus tau nih, jenis tabung itu terbagi menjadi 2, yaitu <strong>tabung tertutup dan tabung terbuka</strong>. Bedanya apa?</p>
<p style="text-align: justify;">Tabung tertutup itu, memiliki 3 bidang pembentuk, antara lain dua buah lingkaran yang menjadi alas dan tutupnya, serta satu buah selimut tabung yang berbentuk <strong><a href="/blog/sifat-sifat-bangun-segi-empat" rel="noopener">persegi panjang</a></strong>. Sementara itu, pada tabung terbuka, tidak memiliki bidang penutup. Jadi, bentuknya kayak tanki/ember yang tidak memiliki tutup.</p>
<p style="text-align: justify;">Luas permukaan inilah yang memengaruhi besar dan kecilnya suatu tabung. Makanya kalau kamu perhatikan, ada beberapa macam gas dengan ukuran tabung yang berbeda-beda. Ada tabung hijau dan yang biru.</p>
<p style="text-align: justify;">Ukuran ini juga yang nantinya menjadi perhitungan untuk mengisi volume tabung itu sendiri. Kalau tabung gas hijau itu berat bersihnya 3 kilogram, sedangkan ada tabung gas yang berwarna biru berat bersihnya 12 kilogram. Ukurannya saja sudah beda. Volumenya juga pasti beda.</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/rumus-luas-dan-volume-kerucut">Rumus Luas & Volume Kerucut Serta Contoh Soalnya</a></strong></p>
<p style="text-align: justify;">Oke, kembali ke cara menghitung luas permukaan ya.</p>
<p>Karena jenis tabung ada 2, maka rumus luas permukaan tabung juga ada 2, tergantung dari jenisnya. Coba perhatikan gambar berikut ini dulu, ya.</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-15.jpg" alt="Luas Bagian Tabung" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Gambar di atas merupakan bagian-bagian tabung tertutup karena memiliki alas dan tutup. Cara menghitung luas permukaan tabung berdasarkan gambar diatas cukup mudah nih. Kamu hanya menjumlahkan luas dua lingkaran dan satu persegi panjang yang dimiliki oleh tabung.</p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;">Rumus Luas Permukaan Tabung Tertutup</span></h3>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-14.jpg" alt="Konsep Pelajaran - Menghitung Luas dan Volume Tabung - Matematika Kelas 9-14" width="600" /></p>
<p> </p>
<h3><span style="font-size: 14pt;">Rumus Luas Permukaan Tabung Terbuka</span></h3>
<p style="text-align: justify;">Lalu, bagaimana dengan luas permukaan tabung terbuka? Gampang juga! Kamu tinggal kurangi saja dengan luas permukaan tutupnya. Sehingga, rumusnya menjadi seperti ini:</p>
<p style="text-align: center;">Luas Permukaan Tabung Terbuka = Luas Alas + Luas Selimut</p>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">LP<sub>terbuka</sub> = 2πr<sup>2</sup> + πrt</span></strong></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;">Cara Menghitung Luas Permukaan Tabung</span></h3>
<p style="text-align: justify;">Nghokeey, supaya kamu nggak bingung sama rumus-rumus di atas, kita coba kerjakan contoh soal di bawah ini!</p>
<p style="text-align: justify;"><strong>Contoh Soal</strong></p>
<p style="text-align: justify;">Aldebaran punya botol minum berbentuk tabung dengan diameter 14 cm dan tinggi 25 cm. Hitunglah luas permukaan botol minum tersebut!</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;">Diketahui: diameter alas tabung (d) = 14 cm, berarti jari-jarinya adalah 1/2 kali diameternya, yaitu 7 cm. Kemudian, tinggi tabung (t) = 25 cm.</p>
<p style="text-align: justify;">Ditanya: Luas permukaan tabung …?</p>
<p style="text-align: justify;"><strong>Jawab:</strong></p>
<p style="text-align: justify;">Lp = 2πr (r + t)</p>
<p style="text-align: justify;">Lp = 2 (22/7) (7) (7 + 25)</p>
<p style="text-align: justify;">Lp = 44 (32)</p>
<p style="text-align: justify;">Lp = 1408 cm<sup>2</sup></p>
<p style="text-align: justify;">Jadi, luas permukaan tabung atau botol minum Aldebaran adalah 1408 cm<sup>2</sup>.</p>
<p style="text-align: justify;">Lalu, bagaimana dengan cara menghitung luas permukaan tabung? Yuk, simak pembahasan berikut!</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Rumus Volume Tabung</span></h2>
<p style="text-align: justify;">Nah, untuk menghitung volume tabung tinggal menghitung luas alas dan tinggi tabung. Hmm, ada rumusnya nggak ya? Ada kok. Kamu cukup dengan mengalikan luas alas dan tinggi. Luas alasnya ‘kan berbentuk lingkaran, jadi cari pakai rumus mencari luas lingkaran yakni:</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-13.jpg" alt="Rumus Volume Tabung" width="600" /></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;">Cara Menghitung Volume Tabung</span></h3>
<p style="text-align: justify;">Coba yuk sekarang kita kerjakan latihan soal di bawah ini!</p>
<p style="text-align: justify;"><strong>Contoh Soal</strong></p>
<p style="text-align: justify;">Sebuah tabung yang memiliki jari-jari sepanjang 7 cm dengan tinggi 35 cm akan diisi air. Tentukanlah volume air yang bisa mengisi tabung tersebut!</p>
<p style="text-align: justify;"><strong>Penyelesaian:</strong></p>
<p style="text-align: justify;">Diketahui: jari-jari tabung (r) = 7 cm dan tinggi tabung (t) = 35 cm.</p>
<p style="text-align: justify;">Ditanya: Volume air…?</p>
<p style="text-align: justify;"><strong>Jawab:</strong></p>
<p style="text-align: justify;">Volume air sama dengan volume tabung. Kenapa? Karena air akan mengikuti bentuk dan ukuran tabung. Jadi,</p>
<p style="text-align: justify;">V = π⋅r<sup>2</sup>⋅t</p>
<p style="text-align: justify;">V = (22/7)⋅(7<sup>2</sup>)⋅(35)</p>
<p style="text-align: justify;">V = 5390 cm<sup>3</sup></p>
<p style="text-align: justify;">Jadi, volume air yang dapat mengisi tabung tersebut adalah sebesar 5390 cm<sup>3</sup>. Mudah, ya?</p>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Rumus Keliling Alas/Tutup Tabung</span></h2>
<p style="text-align: justify;">Cara menghitung keliling alas atau tutup tabung itu gampil banget! Karena alas dan tutup tabung berbentuk lingkaran, jadi kamu bisa menggunakan rumus keliling lingkaran untuk mencari keliling alas dan tutupnya.</p>
<p style="text-align: justify;">Hayo, ada yang masih ingat, apa itu rumus keliling lingkaran?</p>
<p style="text-align: center;"><strong><span style="font-size: 14pt;">Keliling Alas/Tutup Tabung = Keliling Lingkaran = 2 π r</span></strong></p>
<p> </p>
<h3 style="text-align: justify;"><span style="font-size: 14pt;">Cara Menghitung Keliling Alas/Tutup Tabung</span></h3>
<p style="text-align: justify;">Sekarang, kita masuk ke contoh soalnya yuk biar kamu makin paham.</p>
<p style="text-align: justify;"><strong>Contoh Soal</strong></p>
<p style="text-align: justify;">Diketahui sebuah tabung memiliki jari-jari 7 cm. Hitunglah keliling alas tabung tersebut!</p>
<p style="text-align: justify;"><strong>Penyelesaian:</strong></p>
<p style="text-align: justify;">Diketahui: r = 7 cm</p>
<p style="text-align: justify;">Ditanya: K?</p>
<p style="text-align: justify;"><strong>Jawab:</strong></p>
<p style="text-align: justify;">K = 2 π r</p>
<p style="text-align: justify;">K = 2 × 22/7 × 7</p>
<p style="text-align: justify;">K = 308/7</p>
<p style="text-align: justify;">K = 44 cm</p>
<p style="text-align: justify;">Jadi, keliling alas pada tabung tersebut adalah 44 cm.</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/cara-menghitung-luas-permukaan-dan-volume-gabungan-bangun-ruang-sisi-lengkung">Cara Menghitung Luas Permukaan dan Volume Gabungan Bangun Ruang Sisi Lengkung</a></strong></p>
<p> </p>
<table style="border-collapse: collapse; width: 100%;">
<tbody>
<tr>
<td style="width: 46.2129%; text-align: center;"><strong>Aspek</strong></td>
<td style="width: 53.7871%; text-align: center;"><strong>Rumus Matematika</strong></td>
</tr>
<tr>
<td style="width: 46.2129%;">Luas Permukaan Tabung Tertutup</td>
<td style="width: 53.7871%; text-align: center;">LP<sub>tertutup</sub> = 2πr (r + t)</td>
</tr>
<tr>
<td style="width: 46.2129%;">Luas Permukaan Tabung Terbuka (hanya ada alas/tutup)</td>
<td style="width: 53.7871%; text-align: center;"><span style="font-size: 12pt;">LP<sub>terbuka</sub> = 2πr<sup>2</sup> + πrt</span></td>
</tr>
<tr>
<td style="width: 46.2129%;">Luas Permukaan Tabung Terbuka (hanya ada selimut)</td>
<td style="width: 53.7871%; text-align: center;"><span style="font-size: 12pt;">LP<sub>terbuka</sub> = 2πr<sup>2</sup></span></td>
</tr>
<tr>
<td style="width: 46.2129%;">Volume Tabung</td>
<td style="width: 53.7871%; text-align: center;">V = πr<sup>2</sup>t</td>
</tr>
<tr>
<td style="width: 46.2129%;">Kelulung Alas/Tutup Tabung</td>
<td style="width: 53.7871%; text-align: center;"><span style="font-size: 12pt;">2πr</span></td>
</tr>
</tbody>
</table>
<p> </p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;">Contoh Soal Tabung</span></h2>
<p style="text-align: justify;">Oke, selesai sudah pembahasan kita mengenai cara menghitung luas permukaan dan volume tabung. Nah, supaya kamu semakin mahir lagi nih terhadap materi, coba jawab soal berikut dan berikan jawaban yang menurut kamu benar di kolom komentar ya.</p>
<p style="text-align: justify;"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Konsep%20Pelajaran%20-%20Menghitung%20Luas%20dan%20Volume%20Tabung%20-%20Matematika%20Kelas%209-16.jpg" alt="Contoh Soal Tabung" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Nah, itulah pembahasan mengenai <strong>rumus volume tabung, luas permukaan, serta keliling alas atau tutupnya</strong>. Kalo kamu masih mau bahas soal dan kenalan sama bangun ruang sisi lengkung lainnya, langsung aja ke <strong><a href="https://ruangguru.com/belajar" target="_self" rel="noopener">ruangbelajar</a></strong>!</p>
<p style="text-align: justify;">Banyak soal-soal terupdate, lengkap dengan pembahasannya yang bikin pemahaman konsep kamu meningkat. Kalo pemahaman kamu udah oke, pasti soal-soal HOTS dengan variasi apapun bisa kamu selesaikan deh, <em>so</em> tunggu apalagi!</p>
<p style="text-align: justify;"><a href="https://app.ruangguru.com/ruangbelajar/"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/a2dbab8e-e903-4b70-ae04-39ff5807647e.jpg" alt="CTA ruangbelajar" width="820" /></a></p>
<p style="text-align: justify;"><strong>Referensi:</strong></p>
<p style="text-align: left;">Subchan, Winarni, Hanafi L, dkk. (2015) Matematika SMP/MTs Kelas IX Semester 1. Jakarta: Kementerian Pendidikan dan Kebudayaan</p>
<p style="text-align: left;"><strong>Sumber Foto:</strong></p>
<p style="text-align: left;">Foto ‘Tabung Elpiji’ [Daring]. Tautan: https://www.tokopedia.com/tokocahayabaruu/tabung-gas-3kg-go-send?whid=0 (Diakses: 23 Desember 2020)</p>
<p style="text-align: left;">Meme ‘Keselek tabung gas’ [Daring]. Tautan: https://www.memekocak.my.id/2017/04/30-meme-kocak-dan-gambar-lucu-tabung.html (Diakses: 23 Desember 2020)</p>
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<li>
<a target="_blank" rel="nofollow" href="https://apps.apple.com/id/app/ruangguru-solusi-belajar/id1099742206?l=id">
<img src="https://cdn-web-2.ruangguru.com/static/appstore.png" loading="lazy" alt="Button App Store Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
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>