Difference between revisions of "2013 AIME I Problems/Problem 7"

(Problem 7)
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==Solution==
 
==Solution==
 
<math>\boxed{041}</math>
 
<math>\boxed{041}</math>
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== See also ==
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{{AIME box|year=2013|n=I|num-b=6|num-a=8}}

Revision as of 20:43, 16 March 2013

Problem 7

A rectangular box has width $12$ inches, length $16$ inches, and height $\frac{m}{n}$ inches, where $m$ and $n$ are relatively prime positive integers. Three faces of the box meet at a corner of the box. The center points of those three faces are the vertices of a triangle with an area of $30$ square inches. Find $m+n$.

Solution

$\boxed{041}$

See also

2013 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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All AIME Problems and Solutions
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