RO-NMO 2004 Problem 84
- Grade 8
In the interior of a cube of side there are unit cubes with the faces parallel to the faces of the given cube. Prove that there are unit cubes with the property that the center of one of them lies in the interior or on one of the faces of the other cube.
Dinu Serbanescu
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.