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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.

2 Answers

1 vote

Answer:

I just took the quiz, it's C) 15

Explanation:

User NSExplorer
by
5.1k points
4 votes
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 Olivier Lamy
by
5.9k points