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

Home > Shapes
A Square Problem (Posted on 2004-12-26) Difficulty: 4 of 5
Given a unit cube, what is the largest square that can be placed completely inside the cube?

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution.... | Comment 13 of 17 |
Let ABCD be the bottom face & EFGH be the top face of the cube.(edges of the other faces are AE,BF,CG,DH).   Let P be the mid point of BF & Q be the mid point of DH.   Now APGQ forms a square.  side of this new square=AP= sqrt(AB*AB+BP*BP)= sqrt(1*1+0.5*0.5)=sqrt(1.25).

  Posted by suman on 2005-01-29 19:52:33
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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