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Try working on
Changing Areas,
Changing Perimeters first, as it is a two-dimensional version
of this three-dimensional problem.
If I know two rectangles have the same area, how can I decide, just
by looking at their dimensions, which has the greater
perimeter?
If I know two cuboids have the same volume, how can I decide, just
by looking at their dimensions, which has the greater surface
area?