### 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:

Eight children sat round the big table at the end of the classroom. They each had a cube made from modelling clay.

"Cut your cube into four pieces which are all exactly the same shape and size," said their teacher, "and try to make your pieces different from everyone else's!"

When the children had cut the cubes up they put some of the pieces on the table in two rows with their names by them.

"Someone didn't cut theirs into four!" said Belinda pointedly.

Who was that and how many pieces were there?

"Two of us have made the same shapes!" shouted Charlie.

Who were they?

Here are six cubes showing the way the children cut them.

Whose are they?