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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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The source of the puzzle | Comment 10 of 11 |
(In reply to On second thought.. by FrankM)

This came from a math quiz given to New Jersey high school students as an extracurricular activity. It was the hardest of six items on the quiz, and the whole quiz had a time limit of 1/2 hour. The only advantage the students had was an isometric drawing of the shape involved.
  Posted by Charlie on 2008-02-15 11:56:14

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