### Cubes Cut Into Four Pieces

Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?

### 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?

### Holes

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?

# Start Cube Drilling

##### Age 5 to 7 Challenge Level:

This activity is all about imagining, like you might when you listen to a story or poem.

There is no need to write or draw anything

BUT talking about it could be good!

Imagine a 3 by 3 by 3 cube hanging in front of you with just the front face facing you.
The cube is made up of 3 x 3 x 3, that is 27, small cubes.
You drill a hole through the four corner cubes, that are facing you, all the way through to the back.

A friend looks down on the cube, from above, and they also drill four holes through their four corner cubes all the way through to the bottom.
You and your friend examine all the 27 small cubes.

QUESTION
How many small cubes will then have holes drilled in them?

If you'd like more of a challenge, try Cube Drilling .