1984 AIME Problems/Problem 9

Problem

In tetrahedron $\displaystyle ABCD$ , edge $\displaystyle ABC$ has length 3 cm. The area of face $\displaystyle AMC$ is $\displaystyle 15\mbox{cm}^2$ and the area of face $\displaystyle ABD$ is $\displaystyle 12 \mbox { cm}^2$ . These two faces meet each other at a $30^\circ$ angle. Find the volume of the tetrahedron in $\displaystyle \mbox{cm}^3$ .

Solution

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1984 AIME Problems/Problem 9

Problem

Solution

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