The figure above is a pentagonal prism. How we know it is pentagonal is the base of the prism . Notice the base of the prism has 5 sides, That is why it is called a pentagonal prism.
The number of faces is 2( the base faces) + 5 (the faces of the sides) = 7 faces
The number of edges is 5 (edges of the top side) + 5 (edges of the bottom side) + 5 (edges of the lateral side) = 15 edges
The number of vertices is the 10 vertices. The vertices are the corners o