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1 - <p>183 Learners</p>
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2 <p>Last updated on<strong>August 5, 2025</strong></p>
2 <p>Last updated on<strong>August 5, 2025</strong></p>
3 <p>A cube and a cuboid are 3-dimensional shapes with flat surfaces. The surface area of these shapes is the total area covered by their outer surfaces. In this article, we will learn about the surface area of a cube and a cuboid.</p>
3 <p>A cube and a cuboid are 3-dimensional shapes with flat surfaces. The surface area of these shapes is the total area covered by their outer surfaces. In this article, we will learn about the surface area of a cube and a cuboid.</p>
4 <h2>What is the Surface Area of a Cube and a Cuboid?</h2>
4 <h2>What is the Surface Area of a Cube and a Cuboid?</h2>
5 <p>The surface area<a>of</a>a<a>cube</a>and a cuboid is the total area occupied by their boundaries or surfaces. It is measured in<a>square</a>units.</p>
5 <p>The surface area<a>of</a>a<a>cube</a>and a cuboid is the total area occupied by their boundaries or surfaces. It is measured in<a>square</a>units.</p>
6 <p>A cube is a 3D shape with six equal square faces, while a cuboid has six rectangular faces. Both shapes have a total surface area, which is the<a>sum</a>of the areas of all their faces.</p>
6 <p>A cube is a 3D shape with six equal square faces, while a cuboid has six rectangular faces. Both shapes have a total surface area, which is the<a>sum</a>of the areas of all their faces.</p>
7 <h2>Surface Area of a Cube and a Cuboid Formula</h2>
7 <h2>Surface Area of a Cube and a Cuboid Formula</h2>
8 <p>Both a cube and a cuboid have six faces, and their surface areas are calculated by summing the areas of all these faces. Below are the<a>formulas</a>for calculating their surface areas.</p>
8 <p>Both a cube and a cuboid have six faces, and their surface areas are calculated by summing the areas of all these faces. Below are the<a>formulas</a>for calculating their surface areas.</p>
9 <p>For a cube: Total Surface Area (TSA) = 6a² Here, a is the length of a side of the cube.</p>
9 <p>For a cube: Total Surface Area (TSA) = 6a² Here, a is the length of a side of the cube.</p>
10 <p>For a cuboid: Total Surface Area (TSA) = 2(lb + bh + hl) Where l is the length, b is the breadth, and h is the height of the cuboid.</p>
10 <p>For a cuboid: Total Surface Area (TSA) = 2(lb + bh + hl) Where l is the length, b is the breadth, and h is the height of the cuboid.</p>
11 <h2>Surface Area of a Cube</h2>
11 <h2>Surface Area of a Cube</h2>
12 <p>The surface area of a cube is the total area of all six identical square faces. The formula to calculate the surface area of a cube is:</p>
12 <p>The surface area of a cube is the total area of all six identical square faces. The formula to calculate the surface area of a cube is:</p>
13 <p>Surface Area = 6a² square units</p>
13 <p>Surface Area = 6a² square units</p>
14 <p>Here, a is the side length of the cube.</p>
14 <p>Here, a is the side length of the cube.</p>
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17 <h2>Surface Area of a Cuboid</h2>
16 <h2>Surface Area of a Cuboid</h2>
18 <p>The surface area of a cuboid is the sum of the areas of all its rectangular faces. The formula to calculate the surface area of a cuboid is:</p>
17 <p>The surface area of a cuboid is the sum of the areas of all its rectangular faces. The formula to calculate the surface area of a cuboid is:</p>
19 <p>Surface Area = 2(lb + bh + hl) square units</p>
18 <p>Surface Area = 2(lb + bh + hl) square units</p>
20 <p>Where l is the length, b is the breadth, and h is the height of the cuboid.</p>
19 <p>Where l is the length, b is the breadth, and h is the height of the cuboid.</p>
21 <h2>Volume of a Cube and a Cuboid</h2>
20 <h2>Volume of a Cube and a Cuboid</h2>
22 <p>The volume of a cube is the space it occupies, calculated as: Volume of a cube = a³ cubic units</p>
21 <p>The volume of a cube is the space it occupies, calculated as: Volume of a cube = a³ cubic units</p>
23 <p>The volume of a cuboid is the space it occupies, calculated as: Volume of a cuboid = l × b × h cubic units</p>
22 <p>The volume of a cuboid is the space it occupies, calculated as: Volume of a cuboid = l × b × h cubic units</p>
24 <h2>Confusing Side Length with Edge Length</h2>
23 <h2>Confusing Side Length with Edge Length</h2>
25 <p>Students sometimes confuse the side length of a cube with the edge length of a cuboid. Remember, in a cube, all edges are equal, while a cuboid has different edge lengths.</p>
24 <p>Students sometimes confuse the side length of a cube with the edge length of a cuboid. Remember, in a cube, all edges are equal, while a cuboid has different edge lengths.</p>
26 <h3>Problem 1</h3>
25 <h3>Problem 1</h3>
27 <p>Given a = 4 cm. Use the formula: Surface Area = 6a² = 6 × 4² = 6 × 16 = 96 cm²</p>
26 <p>Given a = 4 cm. Use the formula: Surface Area = 6a² = 6 × 4² = 6 × 16 = 96 cm²</p>
28 <p>Okay, lets begin</p>
27 <p>Okay, lets begin</p>
29 <p>Find the total surface area of a cuboid with length 5 cm, breadth 3 cm, and height 2 cm.</p>
28 <p>Find the total surface area of a cuboid with length 5 cm, breadth 3 cm, and height 2 cm.</p>
30 <p>Well explained 👍</p>
29 <p>Well explained 👍</p>
31 <h3>Problem 2</h3>
30 <h3>Problem 2</h3>
32 <p>Use the formula: TSA = 2(lb + bh + hl) = 2(5 × 3 + 3 × 2 + 2 × 5) = 2(15 + 6 + 10) = 2 × 31 = 62 cm²</p>
31 <p>Use the formula: TSA = 2(lb + bh + hl) = 2(5 × 3 + 3 × 2 + 2 × 5) = 2(15 + 6 + 10) = 2 × 31 = 62 cm²</p>
33 <p>Okay, lets begin</p>
32 <p>Okay, lets begin</p>
34 <p>A cube has a side of 7 cm. Find the total surface area.</p>
33 <p>A cube has a side of 7 cm. Find the total surface area.</p>
35 <h3>Explanation</h3>
34 <h3>Explanation</h3>
36 <p>Surface Area = 294 cm²</p>
35 <p>Surface Area = 294 cm²</p>
37 <p>Well explained 👍</p>
36 <p>Well explained 👍</p>
38 <h3>Problem 3</h3>
37 <h3>Problem 3</h3>
39 <p>Use the formula: Surface Area = 6a² = 6 × 7² = 6 × 49 = 294 cm²</p>
38 <p>Use the formula: Surface Area = 6a² = 6 × 7² = 6 × 49 = 294 cm²</p>
40 <p>Okay, lets begin</p>
39 <p>Okay, lets begin</p>
41 <p>Find the surface area of a cuboid with dimensions 6 cm by 4 cm by 3 cm.</p>
40 <p>Find the surface area of a cuboid with dimensions 6 cm by 4 cm by 3 cm.</p>
42 <h3>Explanation</h3>
41 <h3>Explanation</h3>
43 <p>TSA = 108 cm²</p>
42 <p>TSA = 108 cm²</p>
44 <p>Well explained 👍</p>
43 <p>Well explained 👍</p>
45 <h3>Problem 4</h3>
44 <h3>Problem 4</h3>
46 <p>TSA = 2(lb + bh + hl) = 2(6 × 4 + 4 × 3 + 3 × 6) = 2(24 + 12 + 18) = 2 × 54 = 108 cm²</p>
45 <p>TSA = 2(lb + bh + hl) = 2(6 × 4 + 4 × 3 + 3 × 6) = 2(24 + 12 + 18) = 2 × 54 = 108 cm²</p>
47 <p>Okay, lets begin</p>
46 <p>Okay, lets begin</p>
48 <p>The surface area of a cube is 150 cm². Find the side length.</p>
47 <p>The surface area of a cube is 150 cm². Find the side length.</p>
49 <h3>Explanation</h3>
48 <h3>Explanation</h3>
50 <p>Side length = 5 cm</p>
49 <p>Side length = 5 cm</p>
51 <p>Well explained 👍</p>
50 <p>Well explained 👍</p>
52 <h2>It is the total area of all six square faces of the cube, calculated as 6a².</h2>
51 <h2>It is the total area of all six square faces of the cube, calculated as 6a².</h2>
53 <h3>1.What is the surface area of a cuboid?</h3>
52 <h3>1.What is the surface area of a cuboid?</h3>
54 <p>It is the sum of the areas of all six rectangular faces of the cuboid, calculated as 2(lb + bh + hl).</p>
53 <p>It is the sum of the areas of all six rectangular faces of the cuboid, calculated as 2(lb + bh + hl).</p>
55 <h3>2.How is the volume of a cube different from a cuboid?</h3>
54 <h3>2.How is the volume of a cube different from a cuboid?</h3>
56 <p>The volume of a cube is a³, while the volume of a cuboid is l × b × h.</p>
55 <p>The volume of a cube is a³, while the volume of a cuboid is l × b × h.</p>
57 <h3>3.What units are used for surface area?</h3>
56 <h3>3.What units are used for surface area?</h3>
58 <p>Surface area is always measured in square units like cm², m², or in².</p>
57 <p>Surface area is always measured in square units like cm², m², or in².</p>
59 <h3>4.Can a cube be considered a cuboid?</h3>
58 <h3>4.Can a cube be considered a cuboid?</h3>
60 <p>Yes, a cube is a special type of cuboid where all edges are equal.</p>
59 <p>Yes, a cube is a special type of cuboid where all edges are equal.</p>
61 <h2>Common Mistakes and How to Avoid Them in the Surface Area of Cube and Cuboid</h2>
60 <h2>Common Mistakes and How to Avoid Them in the Surface Area of Cube and Cuboid</h2>
62 <p>Students often make mistakes while calculating the surface area of a cube and a cuboid, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
61 <p>Students often make mistakes while calculating the surface area of a cube and a cuboid, leading to incorrect answers. Below are some common mistakes and ways to avoid them.</p>
63 <p>What Is Measurement? 📏 | Easy Tricks, Units &amp; 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
62 <p>What Is Measurement? 📏 | Easy Tricks, Units &amp; 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
64 <p>▶</p>
63 <p>▶</p>
65 <h2>Seyed Ali Fathima S</h2>
64 <h2>Seyed Ali Fathima S</h2>
66 <h3>About the Author</h3>
65 <h3>About the Author</h3>
67 <p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
66 <p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
68 <h3>Fun Fact</h3>
67 <h3>Fun Fact</h3>
69 <p>: She has songs for each table which helps her to remember the tables</p>
68 <p>: She has songs for each table which helps her to remember the tables</p>