How many edges does a polyhedron have that has 6 faces and 5 vertices?
| September 18, 2021 | education
By Euler’s formula for convex polyhedra: V – E + F = 2, where V is the number of vertices, E is the number of edges and F is the number of faces, we calculate the number of edges E.
E = V + F – 2. Substitute the values: V = 5 and F = 6.
E = 5 + 6 – 2 = 9.
Answer: a polyhedron with 6 faces and 5 vertices has 9 edges.
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