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Use Euler’s Formula to find the number of edges in a polyhedron with seven faces: two pentagons and five rectangles.

User Tharabas
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1 Answer

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we know that

Euler's formula states that Number of Faces plus the Number of Vertices (corner points) minus the Number of Edges is always equals 2

F+V-E=2
in this problem
F=7
V=2*5+5*4---> 30-----> (two pentagons and five rectangles)
E=?
E=F+V-2
E=7+30-2
E=35

the answer is
the number of edges is 35
User Hammad Hassan
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