Hint 2 (of 2)

The cubes do not have to share sides. They can touch at corners or not at all. They can't float though.
I will post the partial answer at 8:45.

Hint 1 (of 2)

If you have the largest arrangement and you take blocks away from it one by one, it might help find the smallest arrangement.

How Many Cubes? (Math Forum Problem #17028)

Something interesting for before the summer hits :)


Here are the front view and side view of some cubes that I arranged.

Questions:

1. What is the largest number of cubes that I could have used to make this arrangement?
2. What is the smallest number of cubes that I could have used to make this arrangement? 

http://mathforum.org/pows/submission-flow.do?execution=e1s1

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