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Manager  Joined: 22 Mar 2011
Posts: 50
What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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Question Stats: 100% (00:27) correct 0% (00:00) wrong based on 5 sessions

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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.
Manager  Joined: 29 Jun 2010
Posts: 225
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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melguy wrote:
Hello

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)
Manager  G
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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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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KUDOS will increase your score 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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What is the measure of an edge of a cube with a main diagonal of lengt

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