Find the volume of a cube if the perimeter of one of its faces is 20 cm.

A cube is a regular polyhedron, each face of which is represented by a square, and all edges are equal.

First of all, we determine the length of its edge, provided that the perimeter (the sum of all sides) of 1 face is 20 cm:

P = 4a, therefore:

a = 20: 4 = 5 cm.

Volume is a numerical characteristic of the space occupied by the body.

For such a figure, it is calculated by the formula:

V = a³ = 5 * 5 * 5 = 125 cm³.