Question

the perimeter of one face of a cube is 20 cm find the total area of the 6 faces and the volume of a cube

Answer 1

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Answer 2

Each face of a cube is a square.

Perimeter of square = 4 * side

So, let each side of the square ( or each edge of the cube ) be x,

So 4x = 20 cm; So, x = 20/4 = 5 cm

So, each side of the square( measure of each edge of the cube) is 5 cm

Area of 1 square (one face of the cube) = side * side = 5 * 5 = 25 cm²

So, area of 6 faces = 25 * 6 = 150 cm²

Volume of cube = Side * side * side = 5 * 5 * 5 = 125 cm³

Answer : Total area of the 6 faces of the cube (total surface area of the cube) = 150 cm²; Volume of the cube = 125 cm³

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