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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?

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Age 7 to 11 Challenge Level:

Jason from Priory School, Dunstable says:

"If you cut 2 squares deep it will become a 6 x 6 base which I make as the biggest amount of space: 72 cubes. I worked this out using :

Length x Width x Height
6 x 6 x 2 = 72"

Christina (Marborough Primary, London) and Josh (Ampthill, Bedfordshire) agree with this answer.

Josh said, "At first I thought it would be best to cut out a 3x3 square at each corner, but that box only held 48 cubes. If you cut out a 2x2 square though, the box will hold 2x6x6 cubes which is 72. That is the most."