How many faces edges vertices does a pentagonal pyramid have?

6, 10, 6

That's an interesting question!

This solid has a base which is a pentagon, and an edge rising from each vertex of the pentagon to meet at a single point.

Faces: 1: the pentagon, and 5 slanting = 6

Edges: 5 on the pentagon and five rising = 10

Vertices: 5 on the pentagon and 1 at the top = 6.

You can check this answer using Euler's formula. In any polyhedron, F+V-E = 2.

In the pentagonal pyramid, 6+6-10=2. Check!