The prism by itself:
5 faces 6 vertices 6 edges if you build off of one of the rectangular sides, you add
3 faces 1 vertice 4 edges if you build off of triangular side
2 faces 1 vertice 3 edges (note ONE face is covered in the original prism)
Answer:
5 + 6 + 6 + 3 + 1 + 4 = 25