How many different rectangular prisms can you make with a volume of 24 cubic units?

Answer 1

Oh, dude, let me break it down for you. So, a rectangular prism has three dimensions, right? You can make a prism with dimensions like 1x1x24, 1x2x12, 2x2x6, and 1x3x8, among others. There are like, a few more, but who's counting? Just know there's a bunch of ways to slice that volume into different shapes.

Answer 2

Infinitely many.

For example, let a be any positive number less than cuberoot(24) = 2.88 approx.

Let b be any number such that a < b and b < sqrt(24/a).

And let c = 24/(a*b)

Then a rectangular prism with sides of lengths a, b and c will all be different and each will have a volume of 24 cubic units. And since the choice of two of the sides is arbitrary, the number of such prisms is infinite.

The conditions placed on the measures are simply to ensure that the three measures are in non-decreasing order. This ensures that a prism of sides 2*4*3 will not appear in the list, having already been recorded as a 2*3*4 prism.

Answer 3

Count out 24 cubic built, all rectangular, promise, premise, promise, promise promise t