6.
It will have 6 faces including its base face
The base would be a pentagon, while the faces would be triangles.
pentagonal pyramid
pyramid
pyramid
A pentagonal pyramid
pentagonal pyramid
All except the base are always triangles; the shape of the base gives the name to the pyramid; eg a pentagonal pyramid has a pentagon as the base and five triangular faces; a triangular pyramid has three triangular faces and also has a triangle for the base.
Possibly, a pentagon-based pyramid.
A ptagonramid of five triangular sloping faces and a pentagon as a base.
A pentagonal pyramid. It has a pentagon for the base then five triangles going to a point.
Six - five triangular faces above the base, and then the pentagon base itself counts as a face.