From: kaplanr@cs.brandeis.edu (Robert Kaplan)
Newsgroups: sci.math
Subject: Fun Geometry: will the sofa fit into the elevator?
Date: 2 Apr 1997 07:22:58 GMT
Keywords: geometry

This is a tricky geometry question:

Q: Can you get the sofa into the elevator and close the door?

Sofa dimensions: 86 long x 38 deep x 36 tall (assume worse case
in which the sofa is a simple box with those 3 dimensions)

Elevator door opening: 83.5 high x 36 wide

Elevator cab inside: 87.5 high x 47 deep x 72 wide

Bonus questions:
1. How much will the sofa have to be tipped to get it inside (the
   angle)?
2. How much will it need to be tipped, if at all, in order
   to close the door on the elevator?
3. How much leeway will there be?  
4. What's the largest sofa that can fit into the elevator?
5. Show your work.


--
kaplanr@cs.brandeis.edu