Small Cubes in a Cube
Arrange n^3 small cubes into one large cube. Then paint one or more of the
large cube's faces. How many small cubes are there (or "What is
n"), and which large faces were painted if we find:
- Exactly 52% of the small cubes have paint on at least one face.
- Exactly 36% of the small cubes have paint on at least one face.
- Exactly 8% of the small cubes have paint on at least one face.
Source: Alan O'Donnell.
Solution
Mail to Ken