Question

The volume of a cube is 2 less than the cube root of x-3. If the volume is 30 cubic inches, what is the value of x?

Answer 1

Let's call the volume of the cube V. We know that V = 30 cubic inches and V = 2 less than the cube root of x-3. So, the cube root of x-3 = V + 2 = 30 + 2 = 32. Therefore, x-3 = 32^3 = 32 x 32 x 32 = 32768. Hence, x = 32768 + 3 = 32771.