Difference between revisions of "1986 AIME Problems/Problem 14"

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== See also ==
 
== See also ==
* [[1986 AIME Problems]]
 
 
 
{{AIME box|year=1986|num-b=13|num-a=15}}
 
{{AIME box|year=1986|num-b=13|num-a=15}}
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* [[AIME Problems and Solutions]]
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* [[American Invitational Mathematics Examination]]
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* [[Mathematics competition resources]]

Revision as of 13:53, 6 May 2007

Problem

The shortest distances between an interior diagonal of a rectangular parallelepiped, $\displaystyle P$, and the edges it does not meet are $\displaystyle 2\sqrt{5}$, $\displaystyle \frac{30}{\sqrt{13}}$, and $\displaystyle \frac{15}{\sqrt{10}}$. Determine the volume of $\displaystyle P$.

Solution

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See also

1986 AIME (ProblemsAnswer KeyResources)
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