A hexagonal prism is a polyhedron. Many hexagonal prisms are polyhedra.
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There are infinitely many polyhedra. Hexagonal Prism, Septagonal Prism, Ocatagonal Prism, Nonagonal Prism, Decagonal Prism, etc...
They are both polyhedra. Both have at least one hexagonal face. A 6-pyramid has only one hexagonal face, a 6-prism has 2. A 6-pyramid has only 7 face, a 6-prism has 8. A 6-pyramid has only 12 edges face, a 6-prism has 18. A 6-pyramid has only 7 vertices, a 6-prism has 12.
A triangular prism is a polyhedron. Polyhedra is a plural term.
Pencils are hexagonal.
A hexagonal prism has 8 faces