1. The problem statement, all variables and given/known data Consider an electron in a three-dimensional cubic box of side length Lz. The walls of the box are presumed to correspond to infinitely high potentials. 2. Relevant equations En=((h2)/8MLz2)(n2) where n corresponds to the principal quantum numbers in their respective axes 3. The attempt at a solution My only question is if the side lengths of the cubic box are all of length Lz, does that necessarily mean that all of the principal quantum numbers "n" can be written as nz also or are they all independent of the each other and of the side lengths? Thanks.