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What is the measure of an edge of a cube with a main diagonal of lengt

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Manager
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Joined: 22 Mar 2011
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What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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New post 29 May 2011, 17:03
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What is the measure of an edge of a cube with a main diagonal of length \(\sqrt{60}\)?

Explanation

U. 60 = s U. 3
s = U 60 / U. 3
= U 20

But if I am unable to figure out where did this extra U.3 came from

If the formula is s U.3 then the answer should be 3 x U 20.

Sorry for not using under root sign. I am unable to figure it out how to use it here.
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Joined: 29 Jun 2010
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Schools: LBS, Oxford
Re: What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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New post 29 May 2011, 19:59
melguy wrote:
Hello

Please help me with Q below

What is the measure of an edge of a cube with a main diagonal of length under root (U.) 60?

Explanation

U. 60 = s U. 3
s = U 60 / U. 3
= U 20

But if I am unable to figure out where did this extra U.3 came from

If the formula is s U.3 then the answer should be 3 x U 20.

Sorry for not using under root sign. I am unable to figure it out how to use it here.



formula is S*(underroot 3)
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Joined: 11 Dec 2013
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GMAT Date: 03-15-2015
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Re: What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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New post 02 Feb 2019, 23:53
If the side of the cube is a, then the main diagonal(longest diagonal) \(= \sqrt{3}a\)

\(\sqrt{3}a=\sqrt{60}\)
\(a=\frac{\sqrt{60}}{\sqrt{3}}=\sqrt{20}=2\sqrt{5}\)
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Re: What is the measure of an edge of a cube with a main diagonal of lengt   [#permalink] 02 Feb 2019, 23:53
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