Question

The total surface area of a cube is 150 cm^2. Find its volume.

Solution

1. Total surface area of a cube = 6a^2, so 6a^2 = 150.
2. a^2 = 25, so the side a = 5 cm.
3. Volume = a^3 = 5 x 5 x 5 = 125.
4. The volume is 125 cm^3.