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What is the volume of a certain rectangular solid? (1) Two

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Director
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What is the volume of a certain rectangular solid? (1) Two [#permalink]

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29 Nov 2004, 17:54
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What is the volume of a certain rectangular solid?
(1) Two adjacent faces of the solid have areas 15 and 24, respectively.
(2) Each of two opposite faces of the solid has area 40.
Intern
Joined: 29 Nov 2004
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29 Nov 2004, 20:25
I think it is C

xy=15
zx=24
zy=40

y=15/x

z=24/x
y=40//24/x=40x/24

40x/24=15/x

Find x and go from there.....

Did I read the problem correctly?
Director
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30 Nov 2004, 08:00
I will go with â€˜Aâ€™. â€“ My assumption is that the dimensions are whole numbers.
Director
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30 Nov 2004, 10:03
OA is C.

But I thought it was A too. If its all integers then 15 will 3x5 or 5x3
Knowing that the other side is 24, you can safely say that the the other side has to be 8.

So, the information in s[2] is not needed...

What am I missing? Why is it not A?
Director
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30 Nov 2004, 10:09
they don't mention that they have to be integers. they can be. 4.28 and 3.5 too. well thats why it is C. we need both of them..
Director
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30 Nov 2004, 10:14
I guees the key is never assume anything
Manager
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30 Nov 2004, 10:27
Geometry seems to be my weak point. I don't understand how you can tell which dimensions you are talking about. From statement 1. I know that one face is 15, and an adjacent face is 24. What exactly does it mean by adjacent face? For example, if the bottom face is 15 couldn't any of the other sides be the 24?

Does statement 2 say that there are 2 sets of faces with areas of 40?
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