Difference between revisions of "1992 AIME Problems/Problem 7"

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== See also ==
 
== See also ==
* [[1992 AIME Problems/Problem 6 | Previous Problem]]
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{{AIME box|year=1992|num-b=6|num-a=8}}
  
* [[1992 AIME Problems/Problem 8 | Next Problem]]
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[[Category:Intermediate Geometry Problems]]
 
 
* [[1992 AIME Problems]]
 

Revision as of 14:58, 11 March 2007

Problem

Faces $ABC^{}_{}$ and $BCD^{}_{}$ of tetrahedron $ABCD^{}_{}$ meet at an angle of $30^\circ$. The area of face $ABC^{}_{}$ is $120^{}_{}$, the area of face $BCD^{}_{}$ is $80^{}_{}$, and $BC=10^{}_{}$. Find the volume of the tetrahedron.

Solution

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See also

1992 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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All AIME Problems and Solutions