Surface Area of Cube

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A cube is a closed solid geometric figure which has 3 dimensions, and hence it is known as a 3-dimensional geometric shape. A cube consists of 6 faces and every side of a cube is equal to each other. Therefore a cube is said to have all congruent faces and sides and each face is a square. The total surface area of a cube can be calculated by finding the area of each square face and adding all the areas together.
 
Example 1: What is the total surface area of the cube if the side of the cube is 4m?

Given the side length of the cube, s = 4m

Since it’s a 3-dimensional geometric shape, it has 6 surfaces where each surface is a square of equal sides.

Hence area of each surface = (side length)2

Area of each surface = (4m)2 = 16m2

There are ‘6’ surfaces in a cube, hence = 6 * s2 = 6 * 16m2 = 96m2

Hence the total surface area of the cube = 96m2
 
 Example 2: What is the total surface area of the cube if the side of the cube is 10m?

Given the side length of the cube, s = 10m

A cube has 6 surfaces and each surface is a square of equal sides.

Hence area of each surface = (side length)2

Area of each surface = (10m)2 = 100m2

There are ‘6’ surfaces in a cube, hence = 6 * s2 = 6 * 100m2 = 600m2

Hence the total surface area of the cube = 600m2
 


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