It has four because you only count the ones on the base man :P
26$:$/8:!:$/&2@1&1910/$3'ql
5 faces and 4 edges and 5 vertices
10 and 9 I think
8 Edges and 5 vertices
It would have eight edges and one vertex. Four edges on the base and four rising edges coming to meet at one Vertex.
5 faces
8 edges
4 vertices
8 edges
4 vertices