Content

• Steps

The object's surface area is the total area of ​​all faces on the object. The cube has six identical 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.

Steps

Method 1 of 2: Calculate the area knowing the length of one side

1. 

   The area of ​​a cube is made up of 6 faces. Since all the faces of the cube are the same, we just need to find the area of ​​one face and multiply by 6 to get the total area. The surface area is calculated using the simple formula: 6 x s, where "s" is the side of the cube.

2. 

   
   
   Find the area of ​​one side of the cube. To find the area of ​​a face of a cube, you need to find "s" or the side length of the cube, and then calculate s. In other words, you would multiply length by width (in a cube, these two lengths are equal). For example, if the side of the cube was 4 cm or s = 4 cm, the area of ​​one side of the cube would be (4 cm) = 16 cm. Remember to write down your answers in terms of area units.

3. 

   
   
   Multiply the area of ​​one face by 6. After you have found the area of ​​one side of the cube, simply multiply this result by 6. We have: 16 cm x 6 = 96 cm. So the area of ​​the cube is 96 cm. advertisement

Method 2 of 2: Calculate the area when knowing the volume

1. 

   
   
   Determine the volume of the cube. For example, the volume of a cube is 125 cm.

2. 

   Find the square root of the volume. To find the square root of a volume, you simply need to determine the number that equals the volume when you cube (or use a calculator). This number is not always an integer. In the example with a volume of 125 cm, this is the perfect cube with a cube root of 5, since 5 x 5 x 5 = 125. So the side length "s" of the cube is 5.

3. 

   Plug this into your formula for the area of ​​a cube. Once you've found the side lengths, just replace the formula for the area of ​​a cube: 6 x s. Since s = 5 cm, we have: 6 x (5 cm).

4. 

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