RickGrimes46 RickGrimes46

10-07-2016
Mathematics

Answered

Use Euler's Theorem to calculate how many vertices a polyhedron has if it has 6 faces and 12 edges.

8 veretices

12 vertices

18 vertices

6 vertices

Verified Answer :

konrad509 konrad509

10-07-2016

\(v+f-e=2\\ v=2-f+e\\ v=2-6+12\\ v=8\)

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10-07-2016

Hello,

E=V+F-2 with
E number of edges
F number of faces
V number of vertices;

So V=E-F+2=12-6+2=8

Your polyhedron is a cube. (or a "parrallélipipède ")

Answer Link

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