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Infinitely many.

Select any number A such that 0 < A ≤ cuberoot(24) = 2.8845 approx.

Then let S = 24/A

Next, let B be a number such that A ≤ B ≤ sqrt(S)

and let C = 24/(A*B)

Then it can be shown that A ≤ B ≤ C

and a cuboid with sides of length A, B and C will ave a volume of A*B*C = 24 cm3.

There are infinitely many possible values for A so that there are infinitely many possible cuboids.

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Q: How many cuboids can you make with the volume of 24Cm cubed?
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