You may also like

problem icon

Three Cubes

Can you work out the dimensions of the three cubes?

problem icon

Nine Colours

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

problem icon

Marbles in a Box

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Cubic Covering

Age 14 to 16 Short Challenge Level:



Take one blue unit cube and glue a further blue unit cube to each of its faces (to make a 3D cross).
 
If unit cubes coloured yellow are now glued face-to-face to all the spare faces of the blue cross, how many yellow unit cubes are required?
 





If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.