Interesting challenge to tackle, but possible. Purpose of the cube was a design school project, to show something off. Goal was a cube, 32x32x32cm big.
My first thought was, does it have to come in one peace? Answer was "no". That moment I immediately knew, it is for sure possible, to build like a snap-fit puzzle. The 32cm long sides were printed across the plate. They were just able to fit right there. Maybe even 33-34 would be possible.
Also, no project would be complete, without something challenging on it. Here it was time... I have had just one try, otherwise the project would not be done on time...
So first I went through some drawings, sketches and some designing. Tried to keep it as simple, as possible.


Above I attach the final design, and product. Both sides satisfied. (One with a bit less sleep :-)