Cut Cube

Cut Cube

Problem statement:

A solid, four-inch cube of wood is coated with blue paint on all six sides.

Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides.
How many of each will there be?

Done thinking? Click here to view the solution.

There are 8 with three sides colored, 24 with two sides colored, 24 with one side colored, and 8 with no sides colored.