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Prisms consist of two polygonal "bases" and rectangular faces joining them. Prisms are named after the polygonal bases.
Prisms have polygonal cross sections and several rectangular lateral faces. Cylinders have circular cross sections and one curved lateral face.
Prisms come in many shapes and sizes but all prisms must have flat sides - no curved sides so a Pyramid having flat sides and no curves is a prism. * * * * * That is utter rubbish. Both pyramids and prisms are polyhedra. That means they are solid shapes bounded by plane faces. Neither of them can have curved faces. A pyramid has one polygonal base and triangular faces that rise from the base and meet at an apex. A prism has two congruent parallel bases that are linked together by rectangular faces. Both terms are generic: they do not specify the polygonal bases.
Polygonal Prism Actually, it is a polygonal pyramid. A polygonal prism would have two polygonal faces.
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.