perplexus.info :: Geometry : Tetrahedral Dilemma

Tetrahedral Dilemma (Posted on 2004-06-23)

Suppose you have a sphere of radius R and you have four planes that are all tangent to the sphere such that they form an arbitrary tetrahedron (it can be irregular). What is the ratio of the surface area of the tetrahedron to its volume?

See The Solution Submitted by SilverKnight

Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2009-01-09 11:58:33
Reference and Some Discussion	Richard	2004-06-23 23:23:19
"solution"	Charlie	2004-06-23 15:39:10
ditto	Bryan	2004-06-23 14:53:11
Another solution	Bryan	2004-06-23 14:51:45
Proof	Eric	2004-06-23 14:43:44
re: Cube	ThoughtProvoker	2004-06-23 14:36:30
Cube	Eric	2004-06-23 14:32:21

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info