Bayed geometric cube

I need to form a cube with a piece 3 walls should be no different and unique piece. In the first option I did it because the base is square and symmetrical, the problem is with the rectangular base of the 2nd option. It is geometrically possible to do ?.
Deputy solution square and rectangular poorly resolved.
Greetings beforehand.

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3 Answers

Consider the corners diagonally (through the center of the prism) these corners must be absolutely the opposite diagonal corner to the other.
That is what the assy file is solved

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I do not get it quite right. If you can send me the solution in IGES format I'd appreciate it.
Greetings and thanks.

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