The cube consists of identical squares. Calculate the volume of the cube if the perimeter of the square abcd is 36.

First, from the very beginning it makes sense to remember how the perimeter of a square is determined:

P = 4 * a,

where P is the perimeter of the square;

a is the length of the side of the square.

From the condition of the task, we know that the perimeter of the square is 36 cm.Then we can find its side (a):

P = 4 * a = 36 cm;

4 * a = 36 cm | : 4;

a = 9 (cm).

Therefore, the side of the square (and hence the edge of the cube) is 9 cm.

We find the volume of the cube by the formula:

V = a ^ 3.

We get:

V = a ^ 3 = 9 ^ 3 = 729 (cm 3).

Answer: the volume of the cube is 729 cm 3.