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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
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What is the volume of rectangular box Q? (1) Two adjacent [#permalink] New post 19 Jun 2011, 07:02
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A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

82% (02:07) correct 18% (00:42) wrong based on 38 sessions
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.
[Reveal] Spoiler: OA
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Joined: 26 May 2005
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Kudos [?]: 98 [0], given: 13

GMAT Tests User
Re: Volume D.S Problem [#permalink] 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
Manager
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Kudos [?]: 14 [0], given: 5

CAT Tests
Re: Volume D.S Problem [#permalink] New post 20 Jun 2011, 06:39
[list=]=>[/list]consider a rectangle box with sides x,y,z
rephrase the question-- what isxyz ?

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
_________________

lets start again

Re: Volume D.S Problem   [#permalink] 20 Jun 2011, 06:39
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