Difference between revisions of "1986 AIME Problems/Problem 14"
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== Problem == | == Problem == | ||
| − | + | The shortest distances between an interior diagonal of a rectangular parallelepiped, <math>\displaystyle P</math>, and the edges it does not meet are <math>\displaystyle 2\sqrt{5}</math>, <math>\displaystyle \frac{30}{\sqrt{13}}</math>, and <math>\displaystyle \frac{15}{\sqrt{10}}</math>. Determine the volume of <math>\displaystyle P</math>. | |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
* [[1986 AIME Problems]] | * [[1986 AIME Problems]] | ||
{{AIME box|year=1986|num-b=13|num-a=15}} | {{AIME box|year=1986|num-b=13|num-a=15}} | ||
Revision as of 21:29, 10 February 2007
Problem
The shortest distances between an interior diagonal of a rectangular parallelepiped, 
, and the edges it does not meet are 
, 
, and 
. Determine the volume of .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1986 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
