Cube Puzzle Game

A puzzle I remember from my childhood. I think that must be the Shippers Dilemma Puzzle invented by John Conway. Don't look at all pictures if you want to solve the puzzle all by yourself ;-) 

If you like you could print the box - but you don't have to. You need 5 times the square and 6 times each of the rectangles.

The goal is to use these pieces to create a cube that fits in the box. If you want to try it without a box: A cube with an edge length of 5.