# Question #c4c3b

Feb 8, 2017

125 cubes

#### Explanation:

Since we know that 27 cubes do not have paint on any face, we can assume that those 27 cubes make up the interior of the cube.

A cube has 3 dimensions, so take the cubic root of 27: $\sqrt[3]{27}$ $=$ $3$

This let's us know that 3 cubes make up the length, width, and height of the interior.

To add the outside cubes, add 2 to the length, width, and height (which makes the dimensions 5 x 5 x 5.

Lastly, find the volume with these new measurements: $5 \times 5 \times 5 = 125$