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In the rectangular solid above, the three sides shown have

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In the rectangular solid above, the three sides shown have [#permalink] New post 05 Dec 2012, 09:11
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In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600
[Reveal] Spoiler: OA
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Re: In the rectangular solid above, the three sides shown have [#permalink] New post 05 Dec 2012, 09:14
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Walkabout wrote:
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600


Say the dimensions of the rectangular solid are x by y by z, then the volume is xyz.

We are given that:

xy=12;
xz=15;
yz=20.

Multiply all three: (xyz)^2=12*15*20=3,600 --> xyz=volume=60.

Answer: A.
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Re: In the rectangular solid above, the three sides shown have   [#permalink] 05 Dec 2012, 09:14
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