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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] New post 04 Dec 2005, 12:31
00:00
A
B
C
D
E

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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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 [#permalink] New post 04 Dec 2005, 13:32
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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Re: DS volume [#permalink] New post 04 Dec 2005, 15:54
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.
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 [#permalink] New post 04 Dec 2005, 16:43
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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 [#permalink] New post 07 Dec 2005, 21:36
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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  [#permalink] 07 Dec 2005, 21:36
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