# 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?

Nov 14, 2015

$27 {\text{in}}^{3}$ 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:

$9 \cdot \frac{1}{3} \text{in" = 3"in}$

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

$V = {a}^{3} = {3}^{3} = 27 {\text{in}}^{3}$