Stage: 3 Challenge Level: 
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.
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?
Nets. Cubes. Pythagoras' theorem. Visualising. Prisms. Mathematical reasoning & proof. Generalising. Interactivities. Working systematically. 2D representations of 3D shapes.
Published February 2003.
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