How to Calculate Area of a Cube

The surface area of an object is the sum of the areas of the faces on the object. The cube has 6 equal faces, so all you need to do is calculate the area of one face and multiply it by 6. See the article below to determine the area of a cube.

Table of Contents

Find the area when the length of one side is known

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/5/50/Find-the-Surface-Area-of-a-Cube-Step-1-Version-4.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-1-Version-4.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/5/50/ Find-the-Surface-Area-of-a-Cube-Step-1-Version-4.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-1-Version-4. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Area of a cube formed by 6 faces. Since all the faces of the cube are equal, we just need to find the area of one face and multiply it by 6 to get the total area. The surface area is calculated using the simple formula: 6 xs ² , where “s” is the side of the cube. ^{[1] X Research Source}

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/d/d4/Find-the-Surface-Area-of-a-Cube-Step-2-Version-4.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-2-Version-4.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/d/d4/ Find-the-Surface-Area-of-a-Cube-Step-2-Version-4.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-2-Version-4. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Find the area of one face of the cube. To find the area of a cube’s face, you need to find the “s” or side lengths of the cube, and then calculate s ² . In other words, you would multiply the length times the width (in a cube the two lengths are equal). For example, if the side of the cube is 4 cm or s = 4 cm, the area of one face of the cube will be (4 cm) ² = 16 cm ² . Remember to write your answer in units of area. ^{[2] X Research Source}

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/5/55/Find-the-Surface-Area-of-a-Cube-Step-3-Version-4.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-3-Version-4.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/5/55/ Find-the-Surface-Area-of-a-Cube-Step-3-Version-4.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-3-Version-4. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Multiply the area of one face by 6. Once you find the area of one face of the cube, simply multiply this by 6. We have: 16 cm ² x 6 = 96 cm ² . So the area of the cube is 96 cm ² . ^{[3] X Research Sources}

Calculate the area when the volume is known

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/3/39/Find-the-Surface-Area-of-a-Cube-Step-4-Version-3.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-4-Version-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/3/39/ Find-the-Surface-Area-of-a-Cube-Step-4-Version-3.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-4-Version-3. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Determine the volume of the cube. For example, the volume of a cube is 125 cm ³ . ^{[4] X Research Sources}

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/c/cb/Find-the-Surface-Area-of-a-Cube-Step-5-Version-3.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-5-Version-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/c/cb/ Find-the-Surface-Area-of-a-Cube-Step-5-Version-3.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-5-Version-3. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Find the cube root of the volume. To find the cube root of the volume, you just need to determine the number that when cubed up equals the volume (or use a calculator). This number is not always an integer. In the example with a volume of 125 cm ³ , this is a perfect cube whose square root is 5, because 5 x 5 x 5 = 125. So the length of the “s” side of the cube is 5. ^{[5] X Research Source}

READ More: Lee Majors

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/c/cd/Find-the-Surface-Area-of-a-Cube-Step-6-Version-3.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-6-Version-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/c/cd/ Find-the-Surface-Area-of-a-Cube-Step-6-Version-3.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-6-Version-3. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Substitute this result into the formula for the area of a cube. Once you find the side lengths, you just need to substitute the formula for the area of the cube: 6 xs ² . Since s = 5 cm, we have: 6 x (5 cm) ² .

{“smallUrl”:”https://www.wikihow.com/images_en/thumb/3/37/Find-the-Surface-Area-of-a-Cube-Step-7-Version-3.jpg/v4- 460px-Find-the-Surface-Area-of-a-Cube-Step-7-Version-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/3/37/ Find-the-Surface-Area-of-a-Cube-Step-7-Version-3.jpg/v4-728px-Find-the-Surface-Area-of-a-Cube-Step-7-Version-3. jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser-output”></div>”}

Calculate the final result. So the area of the cube is 6 x (5 cm) ² = 6 x 25 cm ² = 150 ² .

Steps

Find the area when the length of one side is known

Calculate the area when the volume is known

Related Posts