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

(Problem)
m
Line 3: Line 3:
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 +
* [[2003 AIME I Problems/Problem 4 | Previous problem]]
 +
* [[2003 AIME I Problems/Problem 6 | Next problem]]
 
* [[2003 AIME I Problems]]
 
* [[2003 AIME I Problems]]
 +
 +
[[Category:Intermediate Geometry Problems]]

Revision as of 10:34, 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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also