If I need to make a mold with a square base with a volume of exactly 28 cubic centimeters how many possible molds could I make?

3 answers

infinite number even if no curvy tops

If it is rectangular then
x^2 h = 28
h = 28/x^2
if you want integer dimensions, then since

28 = 2^2 x 7
the mold must be 2x2x7 or 1x1x28
The original question is to make molds for candles. 1x1X28 (height), 1x28X1 (height), 1x2x14(height), 1x14x2(height), 2x14x1(height), 1x4x7(height), 1x7x4(height), 7x4x1(height), 2x2x7(height), 2x7x2(height), totally 10 molds.
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