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