1 out of 3
Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
2 out of 3
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?
3 out of 3
A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?
3 out of 3
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?
3 out of 3
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?
1 out of 3
Toni Beardon has chosen this article introducing a rich area for practical exploration and discovery in 3D geometry
1 out of 3
A task which depends on members of the group working collaboratively to reach a single goal.
1 out of 3
A task which depends on members of the group working collaboratively to reach a single goal.
1 out of 3
1 out of 3
Which faces are opposite each other when this net is folded into a cube?
