### Cubes

Investigate the number of faces you can see when you arrange three cubes in different ways.

### The Third Dimension

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

### Start Cube Drilling

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?

# Cubes Cut Into Four Pieces

##### Stage: 1 Challenge Level:

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 pieces.

I have spotted that David and Charlie both cut their cubes into cuboids.

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 solutions.