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Pi  X radius squared of fan = area of fan.

Add the lengths of the bottom sides (all 4).

Divide the fan area by the total length of the sides.

=  optimal height


Use the same units.


So a 120mm fan = 11,310 square  mm area

A 100 x 100mm case bottom = 400mm

11,310 % 400 = 28mm high foots.


Bigger case = shorter feet.