Difference between revisions of "2005 AIME II Problems/Problem 10"
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== Problem == | == Problem == | ||
− | + | Given that <math> O </math> is a regular octahedron, that <math> C </math> is the cube whose vertices are the centers of the faces of <math> O, </math> and that the ratio of the volume of <math> O </math> to that of <math> C </math> is <math> \frac mn, </math> where <math> m </math> and <math> n </math> are relatively prime integers, find <math> m+n. </math> | |
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== Solution == | == Solution == | ||
== See Also == | == See Also == | ||
*[[2005 AIME II Problems]] | *[[2005 AIME II Problems]] |
Revision as of 23:28, 8 July 2006
Problem
Given that is a regular octahedron, that
is the cube whose vertices are the centers of the faces of
and that the ratio of the volume of
to that of
is
where
and
are relatively prime integers, find