Cubes and cuboids

Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?

How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

Can you create more models that follow these rules?

When dice land edge-up, we usually roll again. But what if we didn't...?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

How many models can you find which obey these rules?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

A task which depends on members of the group working collaboratively to reach a single goal.