Monday, March 23, 2020

Area of A Cube

Area of A Cube 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 its 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 its 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

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