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Geometry

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aeros232
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Geometry [#permalink] New post   29 May 2011, 08:32
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A
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C
D
E

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Question Stats:

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We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 72 inches and the width is 108 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?

a 16
b 22
c 27
d 40
e 51



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C
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Re: Geometry [#permalink] New post   29 May 2011, 09:30
6s^2= 72/12 * 108/12
6s^2= 6*9
s= sqrt(9)
s=3
Now volume of cube= s^3
=(3^3)
=27
OA C
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Re: Geometry [#permalink] New post   29 May 2011, 09:34
l = 72 /12 = 6 ft
w = 108 / 12 = 9 ft
Area of paper = 54
Area of cube = 6 * side^2
side of cube = 3
V of cube = 27

the problem is simple but good one..
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Re: Geometry [#permalink] New post   29 May 2011, 09:58
72 * 108 = 6 * l^2

=> l = ROOT(72 * 18) = 18 * 2 = 36 inches

So Vol of cube = (36/12)^3 ft = 27 cu ft

Answer - C
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Re: Geometry [#permalink] New post   29 May 2011, 10:10
agdimple333 wrote:
l = 72 /12 = 6 ft
w = 108 / 12 = 9 ft
Area of paper = 54
Area of cube = 6 * side^2
side of cube = 3
V of cube = 27

the problem is simple but good one..


ok, so you are approximating 72/12 to 6....I guess that in a gmat problem the number must have been an exact integer.
Thanks
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fluke
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Re: Geometry [#permalink] New post   29 May 2011, 11:13
aeros232 wrote:
agdimple333 wrote:
l = 72 /12 = 6 ft
w = 108 / 12 = 9 ft
Area of paper = 54
Area of cube = 6 * side^2
side of cube = 3
V of cube = 27

the problem is simple but good one..


ok, so you are approximating 72/12 to 6....I guess that in a gmat problem the number must have been an exact integer.
Thanks


72/12 is exact "6". There is no approximation here.
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aeros232
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Re: Geometry [#permalink] New post   29 May 2011, 11:19
fluke wrote:
aeros232 wrote:
agdimple333 wrote:
l = 72 /12 = 6 ft
w = 108 / 12 = 9 ft
Area of paper = 54
Area of cube = 6 * side^2
side of cube = 3
V of cube = 27

the problem is simple but good one..


ok, so you are approximating 72/12 to 6....I guess that in a gmat problem the number must have been an exact integer.
Thanks


72/12 is exact "6". There is no approximation here.


hehehe you are right, I was thinking on 75/12...maybe it was the coffee haha
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Re: Geometry [#permalink] New post   30 May 2011, 04:12
Total surface area = 6* side ^2

= 12 * 108 /6 = side^2 => gives side = 36 inches.

thus volume = 36 * 36 * 36/ (12 * 12 * 12) = 27 cubic feet.

C it is.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
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Re: Geometry [#permalink]
30 May 2011, 04:12
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