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A Point and a Cube (Posted on 2004-07-16) Difficulty: 4 of 5
Before tackling this one, take a look at this one.
     +-------------D
    /|            /|
   / |           / |
  /  |          /  |
 /   |         /   |
C-------------+    |
|    |        |    |
|    B--------|----+
|   /         |   /
|  /          |  /
| /           | /
|/            |/
+-------------A
A, B, C and D are non-adjacent vertices of a cube. There is a point P in space such that PA=3, PB=5, PC=7, and PD=6. Find the distance from P to the other four vertices and find the length of the edge of the cube.
There are two answers, one with P outside the cube and one with P inside the cube.

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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAlgebraic solutiongoFish2006-02-24 06:12:23
re: My numbers were wrong.Charlie2004-07-27 15:48:48
My numbers were wrong.John2004-07-26 16:06:24
SolutionFinal CutBractals2004-07-22 11:31:24
Thank you for some fun.John2004-07-21 01:08:11
re: Some observationsJohn2004-07-21 01:02:42
The most correct solutionJohn2004-07-21 00:57:30
SolutionMore precise computer solutionCharlie2004-07-20 08:45:54
re(2): AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH!Brian Smith2004-07-20 08:12:50
re: AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH!rixar2004-07-20 00:17:14
AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH!Brian Smith2004-07-18 23:20:14
re(2): Heuristic computer solution for modified problemCharlie2004-07-18 20:22:13
re: Heuristic computer solution for modified problemCharlie2004-07-18 20:18:01
Heuristic computer solution for modified problemCharlie2004-07-18 19:58:24
PD can't be 9. Correct Restrictions on PD.np_rt2004-07-18 18:35:48
re: PD = 11 and not 9? - PROBLEM CORRECTIONBrian Smith2004-07-18 12:46:40
QuestionPD = 11 and not 9?Jerry2004-07-18 03:09:48
re: rough stuffBrian Smith2004-07-17 18:59:46
flumoxedrixar2004-07-17 18:06:40
Grrr...np_rt2004-07-17 17:40:50
Some Thoughtsrough stuffrixar2004-07-17 16:55:56
where did my post go?Jim2004-07-16 17:22:49
Some observationsEric2004-07-16 13:05:01
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