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Q: How many different rectangular prisms with a volume of 11cm3 can you build with centimetre cubes?

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well, they can, but they dont have to be no. :)

There are infinitely many rectangular prisms with a volume of 24 cm3. Consider the following rectangular prims, with length, bredth and heights in cms: (1,1,24), (1,10,2.4), (1,100,0.24), (1,1000,0.024), etc and (10,10,0.24), (10,100,0.024) and higher multiples of 10. You could go through multiples of 2,3,4,5 etc. and multiples of irrational numbers: (pi, 2*pi,12/pi2), for example.

If the volume of the smaller rectangular box is 27 in3, what is the volume of the larger rectangular box?

The exact result depends on the exact ratio of length to diameter; but in principle, with a cylinder you need less surface area - and thus less material - for the same volume.

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.

Related questions

Two different rectangular prisms can both have the same volume of 72 cm3

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There are 4 of them.

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Yes, they can. They can also have the same surface area, but different volume.

i did

The volume of a rectangular prism is its cross-section area times its length.

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Yes, they can. They can also have the same surface area, but different volume.

Rectangular prisms are shapes which are easy to stack. As a result. many goods are transported in the form of rectangular prisms, or shapes approximating them: eg six packs of cans, ream of printer paper, bundle of newspapers. Furthermore, they are bundled together on palettes, into shipping containers, etc which are also rectangular prisms.

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well, they can, but they dont have to be no. :)