Find one fourth of the volume of the cube if the side of the cube is 6 cm long.

We will solve the problem in stages:

1) Find the entire volume of the cube.

2) Find one fourth of the volume of the cube.

A cube is a volumetric figure in which all faces are squares and all edges (sides) of the cube are equal. Therefore, we know all the edges of the cube and they are equal to 6 cm.

The volume of the cube is calculated by the formula:

V = a ^ 3,

where a is the edge of the cube.

In accordance with the formula, we get the volume of the cube:

V = 6 ^ 3;

V = 216 cm3.

To find one fourth of the volume of a cube, you must multiply the entire volume by 1/4. Hence:

216 * 1/4 = 54 cm3.

Answer: 54 cm3.