Here is two polygon shapes we made out of Popsicle sticks and clay. We learned this formula. E=V+F-2. E is for edges, V for vertices and F for faces. It really helps to know if you got the edges, vertices and faces correct. For our triangular prism we got 6 corners, 9 edges and 5 faces.
For the pentagonal pyramid there were 6 corners, 10 edges and 6 faces. Here it is.