The perimeter of a cube face is 32 cm. Find the Surface area of the cube. Find the volume of the cube.

A cube has 6 faces, which means its surface area will be equal to the area of one of its faces multiplied by 6.
Using the formula for the perimeter of a square, we find the length of one face of a given cube.
P = 4 * a.
a = P / 4 = 32/4 = 8 (cm).
S square = a ^ 2 = 8 ^ 2 = 64 (cm ^ 2).
S surface of a cube = 6 * S square = 6 * 64 = 384 (cm ^ 2).
V cube = a ^ 3 = 8 ^ 3 = 512 (cm ^ 3).
Answer: S surface of a cube = 384 cm ^ 2; V cube = 512 cm ^ 3.