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Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

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The Big Cheese

Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?

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Making Boxes

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

All Wrapped Up

Age 7 to 11 Challenge Level:

What makes one cuboid bigger than another? You may like to talk to someone else about this!
Might it help to draw nets?
As you know the length and width of the paper, can you say anything about the length, height and width of the cuboid looking at the net you've drawn?
Perhaps using a spreadsheet would help?
Or how about making some "skeleton" cubes out of construction equipment or cubes?