Investigate the number of faces you can see when you arrange three cubes in different ways.
Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some
of the small cubes in the ways described, how many will have holes
drilled through them?
I've made some cubes and some cubes with holes in. This challenge
invites you to explore the difference in the number of small cubes
I've used. Can you see any patterns?
Alistair sent us a very
clearly-explained solution to this problem:
Fred did not cut his into four pieces, because it is the same as
Charlie and David's only cut again, which means that he had eight
I have spotted that David and Charlie both cut their cubes into
The six cubes shown were cut by: David, Belinda, Andy, Ellie,
Charlie and Gill.
Thank you Alistair!
Well done too to Wafa from Jinnah Academy,
Natalya from Seaton Primary, Vittal from Birchland and Samuel from
Truscott Street Public School who all sent in very full