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

First, we derive a formula for finding the surface area of a cube through the length of its side a.

The area of one side is equal to a ^ 2, in total the cube has 6 sides, therefore, the surface area of the cube is 6 * a ^ 2 (S = 6a ^ 2). Substitute the area value given in the problem statement into the formula and use it to find the length of one side.

24 = 6a ^ 2. | : 6

4 = a ^ 2.

a = 2 (m). (The second root is -2, but the side length cannot be negative.)

V = a ^ 3 = 2 ^ 3 = 8 (m ^ 3).

Answer: V = 8 m ^ 3.