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?
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
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?