A box has integer dimensions, and when each one is increased by 2, its volume doubles. What is the largest possible dimension?
I don;t know if these are the largest possible dimensions but I came up with 6 x 8 x 10 = 480 (8 x 10 x 12 = 960).
When all sides are equal, lengths <= 7, when increased by 2, yield volumes that are GREATER than twice the original volume. While lengths > 7, when increased by 2, yield volumes that are LESS than twice the original volume. So that would suggest that the lengths would have to be somewhere in the vacinity of 7 or 8 give or take. A little trial and error produced the values I mentioned above. I'm sure there's a more mathematical approach that can be taken.
Solution?
