Question #c4c3b

1 Answer
Feb 8, 2017

125 cubes


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: #root(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: #5times5times5=125#