# Area of A Cube

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Cube is a 3-dimensional geometric figure with six congruent sides. A cube is considered as a 3-dimensional geometric shape because it consists of length, width and height. However in a cube, the length, the width and the height are all equal to each other and hence it has 6 congruent sides. Area of a cube is the sum of areas of all the 6 surfaces of the cube.

Example 1: Find the total surface area of the cube if a side of the cube is 7m.

Given the side length of the cube, s = 7m
Every side in a cube is of equal length.
Since it’s a 3-dimensional geometric shape, it has 6 surfaces where every surface is a square of equal sides.

Hence area of each surface = (side length) 2

Area of each surface = (7m) 2 = 49m2
There are ‘6’ surfaces in a cube, hence = 6 * s2 = 6 * 49m2 = 294m2

Hence the total surface area of the cube = 294m2

Example 2: Find the total surface area of the cube if the side length of the cube is 12cm.

Given the side length of the cube, s = 12cm
Every side in a cube is of equal length.
Since it’s a 3-dimensional geometric shape, it has 6 surfaces where every surface is a square of equal sides.

Hence the total surface area of the cube, A = 6 * s2

Total surface area of the cube is 6 * (12cm) 2 = 864cm2

Hence the total surface area of the cube = 864cm2