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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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04 Dec 2005, 13:31
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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.
VP
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04 Dec 2005, 14:32
C)...15=5*3*1 24=8*3*1...

1) 2 adjacent faces share 1 side...common side can be 1 or 3 or some fraction.insuff
2) nothing about the other sides. insuff

1)+2) common side is 3 ! suff !
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Director
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Re: DS volume [#permalink]

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04 Dec 2005, 16:54
joemama142000 wrote:
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.

The OA is C

I was confused what statement 2 meant.
SVP
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04 Dec 2005, 17:43
The side could be

5 & 3 and 3 & 8 or
15 & 1 and 1 and 24

So the common sides can be 3 or 1 ao A is not suffucient

B is also insufficient but taken together we know that the common side is 3 because the area of the other face is 8 * 5 = 40 (see above) so the volume of the rect. figure is 3*5*8
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07 Dec 2005, 22:36
1. Insufficient. don't know the value of the third side
2. Same
Combining them, V=lwh=sqrt. 15*40*24=sqrt 14400=120
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07 Dec 2005, 22:36
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What is the volume of a certain rectangular solid? (1) Two

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