A hexagonal prism has 2 hexagon faces and a hexagonal pyramid has 1 hexagonal face.
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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 pyramid with 18 edges would be called a nonagonal pyramid. A prism with 18 edges is called a hexagonal prism.
They are all polyhedra with 12 edges.
Both have at least one hexagonal face (base). Both have six faces that are topologically equivalent (either rectangles, or triangles).
A prism with a hexagonal base.