A prism has six corners - three at each end, and five faces - the three plane and two "ends".
A rectangular prism has 8 vertices (corners), 6 faces.
5 faces 9 edges 6 corners
6 faces 8 corners and 12 edges
It has 8 corners, 6 faces and 12 edges
10 faces 16 edges 16 corners
faces-8edges-18corners-12
An octagonal prism has eight quadrilateral (rectangular) faces with four corners each and two octagonal faces with eight corners each. Each corner is at a vertex where three corners meet.
An octagonal prism has 16 vertices each where three corners of faces meet.