Please solve the following question:
If a cube is cut into finite number of smaller cubes, prove that at least two of them must be of same size.
We are talking about cutting a cube of side 6 into smaller cubes. ThatOriginally Posted by ThePerfectHacker
means that if two of the smaller cubes were adjacent before disassembly
of the big cube then the sum of their sides must be <=6 otherwise they
cannot have fitted into the cube of side 6.