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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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answer Comment 11 of 11 |
Precisely 120 of these segments will go through the body of the solid, rather than along its surface.
  Posted by K Sengupta on 2008-02-26 05:19:41
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