I bet you can't solve this puzzle!

You have a cube, which is made out of 10x10x10 smaller cubes. Can you use all the smaller cubes to make two other cubes?

If that doesn't work, you can also try using a different sized cube, not one with a side length of 10 cubes but any other number and see if you can come up with a solution for that.

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DrWatson · 70-79, M

This is equivalent to finding positive-integer solutions to the equation a^3 +b^3 = c^3 (in your example, c = 10). According to Wiles' theorem (formerly known as the Fermat conjecture) this is impossible.

But you have given a great example of how to visualize the content of that theorem concretely.

Luke73 · 26-30, M

@DrWatson Exactly