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Math Revolution GMAT Instructor
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GMAT 1: 760 Q51 V42
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Director
Director
Joined: 06 Jan 2015
Posts: 732
Own Kudos [?]: 1600 [0]
Given Kudos: 579
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE:Information Technology (Computer Software)
Send PM
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10135
Own Kudos [?]: 17024 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]
Expert Reply
=>

Let \(a\) and \(b\) be the edges of face \(A\), and let \(b\) and \(c\) be the edges of face \(B\). Then the edges of face \(C\) are \(a\) and \(c\). Moreover, the volume of the solid is \(abc\). Now,
\(ab = 12\), \(bc = 15\) and \(ca = 20\).
Multiplying these together yields
\((ab)(bc)(ca) = a^2b^2c^2 = (abc)^2 = 12*15*20 = 3600 = 60^2\)
So \(abc = 60\).
Therefore, the answer is C.

Answer: C
GMAT Club Bot
Re: The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]
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