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Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

Wrapping Gifts

Age 16 to 18 Challenge Level:

A box of size $a$ cm by $b$ cm by $c$ cm is to be wrapped with a square shaped piece of wrapping paper. Cutting the paper is not allowed so what is the smallest square this sheet can be?

Now suppose we want to wrap up a cube, what is the smallest square of wrapping paper that can be used to minimise wastage?