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

Answer 1

Well, honey, there are quite a few ways to slice that cake. You can make a total of eight different cuboids with a volume of 24 cm cubed. Just mix and match those dimensions like a puzzle until you find the right fit. Happy building!

Answer 2

To determine the number of cuboids that can be made with a volume of 24 cubic centimeters, we need to find all the possible combinations of length, width, and height that multiply to give a volume of 24 cm³. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Each of these factors can be paired with another factor to form a unique cuboid, resulting in a total of 12 possible cuboids with a volume of 24 cm³.

Answer 3

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.