Do you know this one?
June 3, 2012 at 11:17 am
(This post was last modified: June 3, 2012 at 11:17 am by Whateverist.)
I enjoyed working on this little chestnut. Maybe you will too.
Use unit blocks (1 by 1 by 1 cubes) to build a larger cube with an odd edge length at least three unit blocks long. Now remove one stack of blocks (1 by 1 by n) from the larger cube. Explain why the number of blocks remaining must always be divisible by 24.
Use unit blocks (1 by 1 by 1 cubes) to build a larger cube with an odd edge length at least three unit blocks long. Now remove one stack of blocks (1 by 1 by n) from the larger cube. Explain why the number of blocks remaining must always be divisible by 24.