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

Home > Shapes
Brick Packing Poser (Posted on 2015-08-28) Difficulty: 3 of 5
Can 250 bricks each having dimension 1x1x4 be packed into a 10x10x10 box?
If so, show how.
If not, explain why is it not possible.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 1 of 3
Not possible.

Imagine filling the box with 125 2x2x2 smaller boxes, colored in a checkerboard pattern black and white with black at a corner.  Black will be at every corner.  There will be 63 black boxes and 62 white.
Total volume 63*8=504 black bits, 62*8=496 white bits.

The four bits of the 1x1x4 bricks will always cover exactly two white and two black bits.  250*2=500 black and 500 white.  There will be some untiled bits.



  Posted by Jer on 2015-08-28 14:00:30
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 (2)
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