Find the volume of a cube if its surface area is 24 m2.

The surface area of the cube is 24 m’2.

Let’s determine the volume of this cube. We write down the solution.

Since this is a cube, it means that all sides of it are equal. Find the length of the side of the cube. If the square is equal to the product of the sides of the cube.

S = a’2.

a’2 = 24 m’2.

a = √24 = 2 √6 m.

This means that the side of the cube is 2√6 m.

Find the volume of the cube. In order to find the volume of the cube, we multiply the length by the width and by the height. We write down the solution.

V = a’3.

V = (2 √6) ‘3 = 8 * 6√6 = 48 √ 6 m’3.

This means that the volume of the cube is 48 √6 m’3.

Answer: the volume of the cube is 48 √6 m’3.