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Oh honey, you're trying to sound all fancy with your math lingo. The factorial difference of the special dimension in this universe (3) and one more than the smallest perfect number (7) is 4. So, basically, the answer is 4. Next time, just ask for the difference, no need to make it sound like a science experiment.
Nope - it's at least three inches too big on its smallest dimension !
it has no dimension
The fourth dimension.
In general, find the length, breadth and height of the smallest cuboid that the cargo can fit into. The only exception is if you have two shapes that can, in effect, "dovetail" into one another to form a cuboid.