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What is the volume of rectangular box Q? (1) Two adjacent

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Manager
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Joined: 18 Jun 2011
Posts: 52
What is the volume of rectangular box Q? (1) Two adjacent  [#permalink]

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New post 19 Jun 2011, 07:02
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:17) correct 21% (01:59) wrong based on 99 sessions

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What is the volume of rectangular box Q?

(1) Two adjacent faces of the box Q have areas 10 and 12.

(2) Two opposite faces of box Q each have an area of 30.
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Joined: 26 May 2005
Posts: 505
Re: Volume D.S Problem  [#permalink]

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New post 19 Jun 2011, 09:14
guygmat wrote:
What is the volume of rectangular box Q?

(1) Two adjacent faces of the box Q have areas 10 and 12.

(2) Two opposite faces of box Q each have an area of 30.


Volume = l*b*h

st 1: 2 adjacent face has area of 10, 12

so the face can be 10,12,1 or 2, 5,6 ..each case the answer is different
hence in sufficicent

st 2: opposite faces have an area of 30... clearly insufficient

1 and 2 together

l^2b^2c^2 = 10*12*30
lbh = sqrt(10*12*30)
= 60
hence sufficient
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Concentration: Operations, General Management
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GMAT 1: 640 Q48 V29
GMAT 2: 670 Q49 V31
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Re: Volume D.S Problem  [#permalink]

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New post 20 Jun 2011, 06:39
[list=]=>[/list]consider a rectangle box with sides \(x,y,z\)
rephrase the question-- what is\(xyz ?\)

statement 1 :
suppose \(xy=10,xz=12\) can we find out \(xyz ?\) no
combining \(xy\) and \(xz\) === \(xy^2z=120\)
so 1 insuff

statement 2:
suppose \(xy/yz/xz=30\)
still cannot find xyz
2 insuff

combine 1 & 2
\(xy=10,xz=12 & yz=30\)
so \((xyz)^2=3600\) =:> \(xyz=60\)

so answer is C

i hope it helps
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Re: What is the volume of rectangular box Q? (1) Two adjacent  [#permalink]

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New post 03 Dec 2017, 23:21
guygmat wrote:
What is the volume of rectangular box Q?

(1) Two adjacent faces of the box Q have areas 10 and 12.

(2) Two opposite faces of box Q each have an area of 30.


"Stolen" OG question:
Quote:
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.


Discussed here: http://gmatclub.com/forum/what-is-the-v ... 90748.html

Hope it helps.
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Re: What is the volume of rectangular box Q? (1) Two adjacent &nbs [#permalink] 03 Dec 2017, 23:21
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