Question

If `9` cubic blocks with a side length of `1/3` inches are needed to find the volume of a cube, what is the volume of the cube?

Answer 1

`27 "in"^3` or 27 Inches Cubed

Explanation:

The wording of this answer confused me, but I think I might understand what it's getting at.

In order to calculate the volume of a cube you need to know the length of a single side. If 9 blocks are required to find the volume, then we must need all 9 blocks to measure a single side.

If we stack 9 block vertically (or line them up side by side), we get:

`9 * 1/3"in" = 3"in"`

If a single side of the cube is 3 inches, then we can simply solve for area using the area formula `V = a^3`

`V = a^3 = 3^3 = 27"in"^3`