None. All faces on a pyramid are flat.
A square pyramid will not have any curved faces.
it has 0 curved faces
A triangular based prisim has four faces.
A pyramid normally has flat faces
It has no CURVED faces.
it has 0 curved faces
There are no curved edges on a triangular pyramid.
There are 5 faces in a pyramid.
It has no CURVED faces.
It has 8 curved faces
If restricted to plane faces, a rectangular pyramid or a triangular prism. With curved faces such shapes will usually not have names.
A rectangular prism is a cuboid. It has no curved faces.