Problem:
A cubical box contains identical small cubes that exactly fill the box. How many of these small cubes touch a side or the bottom of the box?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The core contains all of the small cubes that do not touch a side or the bottom. These cubes are subtracted from to leave .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions