#2 – One Thousand Cubes
A 10x10x10 cube is assembled by putting together 1,000 unit cubes. Following this, each side of the assembled cube is painted blue. How many of the unit cubes will now have exactly two blue sides?
The Prize for This Question: Rubik’s Cube Keychain
This question was prepared by Emrehan Halıcı, president of the Turkey Intelligence Foundation, for Bilkent IEEE.