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# What is the number of different pairs of parallel edges of a

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Eternal Intern
Joined: 07 Jun 2003
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What is the number of different pairs of parallel edges of a [#permalink]

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02 Aug 2003, 18:07
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What is the number of different pairs of parallel edges of a
cubical wooden block?

Can someone show the pairs, here, I got the edges, part.
Good question and challenge.
What's the picture here?

VT
_________________

Ride em cowboy

Last edited by Curly05 on 04 Aug 2003, 08:37, edited 3 times in total.

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SVP
Joined: 03 Feb 2003
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04 Aug 2003, 00:50
the question is much more complex.

Let us place a cube on a table and fix the cube. Consider 4 vertical edges = 4C2 = 6 pairs. Consider 4 horizontal edges = 4C2 = 6 pairs. Consider 4 frontal edges = 4C2 = 6 pairs. Thus, overall, there are 6*3=18 pairs of different parallel edges.

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Manager
Joined: 10 Jun 2003
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04 Aug 2003, 07:41
The answer is 4C2 * 3 = 18

There are four edges that are parallel in each "direction": up/down, left/right, front/back. Take a combination of two of these in every direction and you get 18.

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Agree with Stolyar   [#permalink] 04 Aug 2003, 07:41
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