6, pent is five, five out the top, one for the base.
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A pentagonal pyramid
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex). Like any pyramid, it is self-dual.The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles. It is one of the Johnson solids (J2). Its height H, from the midpoint of the pentagonal face to the apexIt can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11. The 92 Johnson solids were named and described by Norman Johnson in 1966.More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular pentagonal base and 5 isosceles triangle sides of any height.