Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?
A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?
A 3×3×3 cube may be reduced to unit cubes in six saw cuts. If after every cut you can rearrange the pieces before cutting straight through, can you do it in fewer?
Weekly Problem 37 - 2010
An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry
A task which depends on members of the group working collaboratively to reach a single goal.
A task which depends on members of the group working collaboratively to reach a single goal.
Which faces are opposite each other when this net is folded into a cube?
