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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
Joined: 22 Mar 2011
Posts: 52
What is the measure of an edge of a cube with a main diagonal of lengt  [#permalink]

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29 May 2011, 16:03
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 3 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: 228
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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29 May 2011, 18:59
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
Joined: 11 Dec 2013
Posts: 114
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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02 Feb 2019, 22:53
If the side of the cube is a, then the main diagonal(longest diagonal) $$= \sqrt{3}a$$

$$\sqrt{3}a=\sqrt{60}$$
$$a=\frac{\sqrt{60}}{\sqrt{3}}=\sqrt{20}=2\sqrt{5}$$
_________________

Re: What is the measure of an edge of a cube with a main diagonal of lengt   [#permalink] 02 Feb 2019, 22:53
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