It is not.
No.
pentagonal prism
The answer depends on whether you mean a hexagonal pyramid or a hexagonal prism or some other shape involving hexagons.
NO
A hexagonal prism has 2 hexagons. A hexagonal pyramid has1 hexagon.
A hexagonal prism has 2 hexagon faces and a hexagonal pyramid has 1 hexagonal face.
A hexagonal prism has 2 hexagon faces and a hexagonal pyramid has 1 hexagonal face.
Both have at least one hexagonal face (base) ?
A hexagonal prism has hexagons at each end whereas a hexagonal pyramid has a hexagonal base and an apex. The numbers of faces, shapes of the faces, numbers of edges and vertices are all different.
A hexagonal prism has 12 vertices, 8 faces and 18 edges. A hexagonal pyramid has 7 vertices, 7 faces and 12 edges.
yes hexagonal prism: 7 hexagonal pyramid: 6
It is not.
Both have at least one hexagonal face (base). Both have six faces that are topologically equivalent (either rectangles, or triangles).
hexagonal pyramid
a pyramid
they are the same one is a prism and one is a pyramid