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 A Point and a Cube (Posted on 2004-07-16)
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 Algebraic solution goFish 2006-02-24 06:12:23 re: My numbers were wrong. Charlie 2004-07-27 15:48:48 My numbers were wrong. John 2004-07-26 16:06:24 Final Cut Bractals 2004-07-22 11:31:24 Thank you for some fun. John 2004-07-21 01:08:11 re: Some observations John 2004-07-21 01:02:42 The most correct solution John 2004-07-21 00:57:30 More precise computer solution Charlie 2004-07-20 08:45:54 re(2): AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH! Brian Smith 2004-07-20 08:12:50 re: AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH! rixar 2004-07-20 00:17:14 AAAAAAAAARRRRRRRRRGGGGGGGHHHHHHHH! Brian Smith 2004-07-18 23:20:14 re(2): Heuristic computer solution for modified problem Charlie 2004-07-18 20:22:13 re: Heuristic computer solution for modified problem Charlie 2004-07-18 20:18:01 Heuristic computer solution for modified problem Charlie 2004-07-18 19:58:24 PD can't be 9. Correct Restrictions on PD. np_rt 2004-07-18 18:35:48 re: PD = 11 and not 9? - PROBLEM CORRECTION Brian Smith 2004-07-18 12:46:40 PD = 11 and not 9? Jerry 2004-07-18 03:09:48 re: rough stuff Brian Smith 2004-07-17 18:59:46 flumoxed rixar 2004-07-17 18:06:40 Grrr... np_rt 2004-07-17 17:40:50 rough stuff rixar 2004-07-17 16:55:56 where did my post go? Jim 2004-07-16 17:22:49 Some observations Eric 2004-07-16 13:05:01
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