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

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Manager
Joined: 18 Jun 2011
Posts: 55
What is the volume of rectangular box Q? (1) Two adjacent  [#permalink]

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19 Jun 2011, 08:02
1
00:00

Difficulty:

25% (medium)

Question Stats:

74% (00:58) correct 26% (01:15) 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.
Current Student
Joined: 26 May 2005
Posts: 526

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19 Jun 2011, 10:14
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
Joined: 26 Jul 2010
Posts: 90
Location: India
Concentration: Operations, General Management
Schools: IIMA (M)
GMAT 1: 640 Q48 V29
GMAT 2: 670 Q49 V31
WE: Supply Chain Management (Military & Defense)

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20 Jun 2011, 07:39
[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 $$(xyz)^2=3600$$ =:> $$xyz=60$$

i hope it helps
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Math Expert
Joined: 02 Sep 2009
Posts: 48109
Re: What is the volume of rectangular box Q? (1) Two adjacent  [#permalink]

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04 Dec 2017, 00:21
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] 04 Dec 2017, 00:21
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