ASU 411 All Soviet Union MO 1985 painting equal cubes of parallelepiped
Source:
August 5, 2019
Coloringcombinatoricscombinatorial geometrycubeparallelepipedgeometry
Problem Statement
The parallelepiped is constructed of the equal cubes. Three parallelepiped faces, having the common vertex are painted. Exactly half of all the cubes have at least one face painted. What is the total number of the cubes?