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

Home > Shapes
Unit Cubes (Posted on 2004-02-02) Difficulty: 3 of 5
Some unit cubes are assembled to form a larger cube. Some of the faces of the larger cube are then painted. The cube is taken apart and it is found that 217 of the unit cubes have paint on them. What is the total number of unit cubes?

See The Solution Submitted by Brian Smith    
Rating: 3.8333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(4): Extension (A deeper question) | Comment 14 of 15 |
(In reply to re(3): Extension (A deeper question) by Charlie)

Yeah, that was a typo - it should have been 25 and not 23. Luckily you can't get much past Charlie =)

I guess a start for proving or disproving if there are any numbers that yield more than two solutions would be SilverKnight's Floor-Ceiling approach. It would probably still need a Brute Force factor to it, though.

Hmmmmm...
  Posted by nikki on 2004-02-05 16:32:41

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


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information