Difference between revisions of "2003 AIME I Problems/Problem 5"

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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2003 AIME I Problems/Problem 4 | Previous problem]]
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* [[2003 AIME I Problems/Problem 6 | Next problem]]
 
* [[2003 AIME I Problems]]
 
* [[2003 AIME I Problems]]
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[[Category:Intermediate Geometry Problems]]

Revision as of 11:34, 25 October 2006

Problem

Consider the set of points that are inside or within one unit of a rectangular parallelepiped (box) that measures 3 by 4 by 5 units. Given that the volume of this set is $(m + n \pi)/p,$ where $m, n,$ and $p$ are positive integers, and $n$ and $p$ are relatively prime, find $m + n + p.$

Solution

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See also