As you are thinking about wrapping up presents this holiday season, this problem might help you choose the right size box.
If you cut out a 1 by 1 square from each corner, it could be folded into an
open-top box that had an 8 by 8 base and was 1 square deep. That means that the box would be able to hold 64 cubes.
What size square should you cut out of each corner to make the box
that would hold the greatest number of unit cubes?
Another way to ask this question is 'Which box has the greatest volume of space available?'.
