From: Ralph (for Teacher2Teacher Service)
Date: Dec 11, 2007 at 14:58:34
Subject: Re: Euler's formula

Dear Brittany,

Thank you for writing to T2T. The student has the right idea, but the 
wrong geometry :)  The steel pipes would actually be the number of 
edges, and the 25 connecting joints would be the vertices. What's missing 
is the number of faces (that would be the number of panels the builder 
would need.) Substitute 40 for the number of edges, and 25 for the number 
of vertices in Euler's formula, and solve for the number of faces, and that 
will be the answer re: how many panels are needed.

Hope this helps,

 -Ralph, for the T2T service

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