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# box area to box volume

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Manager
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box area to box volume [#permalink]

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14 Apr 2009, 05:41
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Source: a local gmat course book.

The areas of the faces of a rectangular box are 6, 8, 27 square feet. What is the volume of the box in cubic feet?

(A) 22
(B) 36
(C) 82
(D) 1296
(E) It cannot be determined from the information given.
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Joined: 09 Apr 2009
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Re: box area to box volume [#permalink]

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14 Apr 2009, 08:57
lw=6
wh=8
lh=27
(choices for l, w, h are arbitrary and do not matter)

Solve the simultaneous equations. You get w=4/3, l=4.5, h=6. Multiply them to get the volume, and you get 36, so B.
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Joined: 05 Jun 2007
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Schools: CMU, Ross, Kellogg, Case, OSU, Stanford, Kelley
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Re: box area to box volume [#permalink]

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14 Apr 2009, 15:52
hey alexhard.. that was a real easy way to solve it
i was trying to find out the sides given the areas
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Re: box area to box volume [#permalink]

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15 Apr 2009, 06:17
OA = 36.

I too went to find each side dimension, ran out of time and eventually chose the wrong answer.

(1) a*b=6
(2) b*c=8
(3) a*c=27

double (1) with (2) with (3) and get: (a^2)*(b^2)*(c^2) = 6*8*27
squre both side and get : a*b*c= 36

funny, but if I had those 3 equations I would not have seen this and still would have gone finding each side.

not my solution of course but it's nice to know

thanks all, guy
Re: box area to box volume   [#permalink] 15 Apr 2009, 06:17
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