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I have a rectangle of sides l,w,h. Volume increases by 100%...

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I have a rectangle of sides l,w,h. Volume increases by 100%...  [#permalink]

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New post 08 Oct 2018, 02:01
Hi all! If I have a rectangle of sides l,w,h, and the volume increases by 100%, and this is done through a proportional increase of each side, what is the ratio of new volume to new surface area?

Is this question solvable?

Thanks a lot!
Orion Director of Academics
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Re: I have a rectangle of sides l,w,h. Volume increases by 100%...  [#permalink]

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New post 08 Oct 2018, 15:55
It depends on your definition of "solvable". You can definitely get an expression in terms of length, width and height, but it's ugly and doesn't simplify to a number - there are still variables in there. So if you mean "can you get a ratio that's only numbers?" the answer is no. The exception is if you had some information about the relationship between the sides. For example, if you knew that the original surface area equals the original volume, then you could set up and solve for an exact ratio without any variables. But without additional information you're going to have variables in your ratio, which isn't terribly useful.
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Re: I have a rectangle of sides l,w,h. Volume increases by 100%...   [#permalink] 08 Oct 2018, 15:55
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I have a rectangle of sides l,w,h. Volume increases by 100%...

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