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

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Director
Joined: 17 Oct 2005
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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.

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VP
Joined: 30 Sep 2004
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Location: Germany

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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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Kudos [?]: 411 [0], given: 0

Director
Joined: 17 Oct 2005
Posts: 924

Kudos [?]: 267 [0], given: 0

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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.

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SVP
Joined: 16 Oct 2003
Posts: 1798

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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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Senior Manager
Joined: 03 Nov 2005
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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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Kudos [?]: 68 [0], given: 17

07 Dec 2005, 22:36
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