All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
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

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information