Cubception - this is a Rubik's Box that can hold a Rubik's Cube. Or something else.
The inside is 60x60x60mm and should fit most standard Rubik's cubes. The outer dimensions are roughly 70x70x70mm.
I guess that the parts can be scaled to get larger or smaller boxes but I have not tested it.

The models are designed to fit a layerheight of 0.2mm or smaller. Support is needed.
Print the inserts model six times in different colours and glue the little tiles to the box.

Disclaimer:
This work by blecheimer is licensed under CC BY-NC-SA 4.0
You are not allowed to copy this model to other 3D printing websites without my permission.