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?

1 Answer
Nov 14, 2015

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


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#