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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?

Covering Cups

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

The theme of this months problems is triangles - I think this is a good place to start but, does a suitable triangular box have a smaller surface area than a rectangular one? If not why not?