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Is it possible to build this out of soma cube parts?

Puzzling Asked on June 9, 2021

For those of you who don’t know, these are soma cube parts:
enter image description here
They can be assembled into a 3x3x3 cube.

Is it possible to build a hollow cube with the extra little cube being on top, in the middle of the 3x3x3 cube? (So that it looks like you took the middle little cube that can not be seen in the standard 3x3x3 configuration and put it on top, two layers higher.) You can ignore the pattern on the pieces.

One Answer

Here is one solution, though I have paid no attention to the checkerboard colouring of the pieces in the picture.

Correct answer by Jaap Scherphuis on June 9, 2021

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