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# cube

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Manager
Joined: 22 Jul 2008
Posts: 94
Location: Bangalore,Karnataka
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Kudos [?]: 35 [0], given: 11

cube [#permalink]  29 Dec 2009, 04:39
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 100% (00:44) wrong based on 1 sessions
What is the measure of the angle made by the diagonals of the any adjacent sides of a cube.
A. 30
B. 45
C. 60
D. 75
E. 90
Manager
Joined: 07 Jun 2009
Posts: 211
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Kudos [?]: 13 [0], given: 6

Re: cube [#permalink]  29 Dec 2009, 06:17
C.. 60 degrees

All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be 60.

Any other method?
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Manager
Joined: 09 May 2009
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Kudos [?]: 58 [0], given: 13

Re: cube [#permalink]  29 Dec 2009, 06:50
aknine wrote:
xcusemeplz2009 wrote:
imo its 45

sorry my bad i was wrng in understanding the Q,
you are right its 60
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Manager
Joined: 22 Jul 2009
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Location: Manchester UK
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Re: cube [#permalink]  29 Dec 2009, 06:55
could anyone please explain in detail??
Math Expert
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Re: cube [#permalink]  29 Dec 2009, 10:49
1
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Expert's post
sagarsabnis wrote:
could anyone please explain in detail??

Take the diagonals of adjacent sides of a cube, so that they make an angle.

Join the ends of these diagonals to get the triangle.

You'll see that the line segment joining the ends of these diagonals will also be the diagonal of a side of a cube.

Hence we have the triangle all 3 sides of which are diagonals of a side of a cube. All diagonals are equal, which means that we have equilateral triangle. Any angle in equilateral triangle is 60 degrees.

Hope it's clear.
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Manager
Joined: 22 Jul 2008
Posts: 94
Location: Bangalore,Karnataka
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Kudos [?]: 35 [0], given: 11

Re: cube [#permalink]  04 Jan 2010, 00:20
answer is 60 degrees!
Re: cube   [#permalink] 04 Jan 2010, 00:20
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# cube

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