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

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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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More Christmas Boxes

What size square should you cut out of each corner of a 10 x 10 grid to make the box that would hold the greatest number of cubes?

Double Your Popcorn, Double Your Pleasure

Stage: 2 Challenge Level: Challenge Level:1

There are lots of answers to this problem, depending on what questions you choose to ask.



Have a go yourself, and if you discover anything interesting, email us to tell us what you've done! Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried. Teachers - you might like to send in a summary of your children's work.