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?
Age
11 to 14
Challenge level
Problem
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.
Image
Image
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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?
Getting Started
Hint
The information about perpendicular is important
Try to draw the net of each portion, labelling the edges and their lengths.
Student Solutions
No solutions were offered for this problem this month.