Question

What is the number of vertices in a
polyhedron which has 15 edges and
6 faces?

Answer 1

Step-by-step explanation:

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Answer 2

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Question

What is the number of vertices in a

polyhedron which has 15 edges and

6 faces?

Answer

I’m assuming you meant “polyhedron” and “faces” rather than “polyderon” and “faves”. In that case, the answer is 15. This comes from one of Euler’s equations. In 1750, he pointed out in a letter to Christian Goldbach that in a convex polyhedron

V - E + F = 2

where V is the number of vertices, E is the number of edges and F is the number of faces. In your question, V = 10 and F = 7 so the equation becomes

10 - E + 7 = 2

17 - E = 2

E = 15