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Truncated Cube (Posted on 2008-02-14) Difficulty: 3 of 5
A cube has 8 vertices. If each vertex is cut off to form a triangle, the new solid will have 3 x 8 = 24 vertices. If each of these vertices is then connected directly to each of the others via a straight line segment, how many of these segments will go through the body of the solid, rather than along its surface?

See The Solution Submitted by Charlie    
Rating: 3.0000 (3 votes)

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Some Thoughts re(2): Solution | Comment 5 of 11 |
(In reply to re: Solution by Stephanie)

I get only 60.

In your count are you counting a line segment twice?

My fault, 120 is correct, I wrongly divided by two.

Edited on February 14, 2008, 6:30 pm

Edited on February 14, 2008, 6:31 pm

Edited on February 14, 2008, 9:41 pm
  Posted by Bractals on 2008-02-14 18:25:18

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