The area of the base of the cube wound is 9 cm2, find the volume.

It is known from the condition that the area of the base of the cube is 9 cm ^ 2. And we need to find its volume.

To calculate the volume of a cube, we must use the formula:

V = a ^ 3.

The volume of a cube is equal to the cube of its edge.

That is, we need to calculate the length of the edge of the cube. To do this, we will apply a formula to calculate the area of the base of a cube.

S = a ^ 2, since there is a square at the base of the cube.

Let’s calculate the edge of the cube:

a = √S.

Substitute the values and calculate:

a = √9 = 3 cm.

Substitute and calculate the volume:

V = 3 ^ 3 = 27 cm ^ 3.

Answer: 27 cm ^ 3.