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

Suppose the length of the edge of the cube is equal to a.

By condition, the perimeter of the face is 32 cm.Since the perimeter of the face is P = 4 * a, we can find what the length of the edge of the cube is equal to:

4 * a = 32,

a = 8 (cm).

The area of the face is S = a2, therefore the area of one face of the cube will be equal to:

S = 82 = 64 (cm2).

Since a cube has six faces, its surface area will be equal to:

S = 64 * 6 = 384 (cm2).

The volume of the cube is V = a3 = 8 3 = 512 (cm 3).

Answer: S = 384 cm2, V = 512 cm 3.