Cubes and cuboids

problem
Favourite

Making cuboids

Age

7 to 11

Challenge level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
problem

Green cube, yellow cube

Age

7 to 11

Challenge level

How can you paint the faces of these eight cubes so they can be put together to make a 2 x 2 x 2 cube that is green all over AND a 2 x 2 x 2 cube that is yellow all over?
problem

Three cubed

Age

7 to 11

Challenge level

Can you make a 3x3 cube with these shapes made from small cubes?
problem
Favourite

Next size up

Age

7 to 11

Challenge level

The challenge for you is to make a string of six (or more!) graded cubes.
problem

All wrapped up

Age

7 to 11

Challenge level

What is the largest cuboid you can wrap in an A3 sheet of paper?
problem

Cuboid-in-a-box

Age

7 to 11

Challenge level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
problem

Cube drilling

Age

7 to 11

Challenge level

Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?
problem

Three sets of cubes, two surfaces

Age

7 to 11

Challenge level

How many models can you find which obey these rules?
problem
Favourite

Castles in the middle

Age

7 to 14

Challenge level

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

Inky cube

Age

7 to 14

Challenge level

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?