Difference between revisions of "1984 AIME Problems/Problem 9"
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== Problem == | == Problem == | ||
| + | In tetrahedron <math>\displaystyle ABCD</math>, edge <math>\displaystyle ABC</math> has length 3 cm. The area of face <math>\displaystyle AMC</math> is <math>\displaystyle 15\mbox{cm}^2</math> and the area of face <math>\displaystyle ABD</math> is <math>\displaystyle 12 \mbox { cm}^2</math>. These two faces meet each other at a <math>30^\circ</math> angle. Find the volume of the tetrahedron in <math>\displaystyle \mbox{cm}^3</math>. | ||
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== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 01:16, 21 January 2007
Problem
In tetrahedron 
, edge 
has length 3 cm. The area of face 
is 
and the area of face 
is 
. These two faces meet each other at a 
angle. Find the volume of the tetrahedron in 
.
Solution
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