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Re: In the rectangular solid above, the three sides shown have [#permalink]
02 Jun 2013, 06:41

1

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What if the actual test the same questions with very big number? will the same technique hold good? that may take some massive time with bigger numbers.

Re: In the rectangular solid above, the three sides shown have [#permalink]
02 Jun 2013, 08:44

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Expert's post

pavan2185 wrote:

What if the actual test the same questions with very big number? will the same technique hold good? that may take some massive time with bigger numbers.

Real GMAT questions, including 700+ questions, do not require tedious math, so even with some big numbers there would be some shortcut possible _________________

Re: In the rectangular solid above, the three sides shown have [#permalink]
19 Dec 2013, 00:11

Expert's post

1

This post was BOOKMARKED

rxn wrote:

Bunuel wrote:

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.

What's the rationale behind multiplying all 3?

We need to find the volume, which is xyz. When we multiply we get (xyz)^2, so to get the volume all we need to do is to take the square root from it . _________________

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