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

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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?

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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: Challenge Level:3 Challenge Level:3 Challenge Level:3
It might help to make some cubes out of modelling clay or plasticene and to cut them in the ways drawn.
Can you picture what shape the pieces will be when each cube is cut?