Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Cubes
If you've ever played with a Rubic's Cube, you know it's possible to divide a cube into 27 smaller cubes. Eight and sixty-four is pretty obvious, too.
Can you show how to divide a cube into other numbers of sub-cubes, numbers that aren't perfect cubic numbers?
Like 15? or 20?
Because you don't have enough awesome in your life, I present watermelon cubes.
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Source:
James Tanton
Possible to divide a cube into 1, 8, and 27 cubes. Show how to also divide a cube into 20 or 15 sub cubes. Any other nmbrs under 27?
— James Tanton (@jamestanton) May 11, 2014
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