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Q: Is a polyhedron is a two-dimensional solid bounded by the polygonal regions formed by intersecting planes?

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Yes. It is a solid figure that is bounded by polygonal faces.

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A polyhedron is a three-dimensional object, not two-dimensional.

A polyhedron is a simply connected 3-dimensional simply connected shape which is bounded by polygonal faces. A dodecahedron is a special case of a polyhedron: it is a polyhedron with 12 faces.

A polyhedron is a solid object bounded by polygons. Polygons are plane shapes [bounded by straight lines]. The curved surface of a cone is not a polygon and so the cone is not bounded by polygons and therefore, a cone is not a polyhedron.

It is a three dimensional shape bounded by polygonal faces (a polyhedron) which has a uniform triangular cross section, parallel triangular bases, and the remaining faces are rectangular.

A polygon is a plane (2-dimensional) object bounded by straight lines. A polyhedron (not polyhendron!) is a solid (3-dimensional) object bounded by polygonal faces. So, pyramids and some prisms are polyhedra. A cylinder is a type of prism but, because two of its faces are circular, those faces are not polygons. As a result a cylinder is not a polyhedron.