1986 AIME Problems/Problem 14

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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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
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1986 AIME Problems/Problem 14

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