Cutting a Cube

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
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The longest dimension in a cube is the diagonal from top to bottom of opposite vertices. This is shown on this dissection of a cube.

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Cutting a Cube
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Cutting a Cube
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Cutting a Cube

The half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it.

Can you draw a net of these pieces? Are they identical?