No. A polyhedron is a three dimensional body. The base of a pyramid is a two dimensional figure.
But any non self-intersecting polygon can be the base of a pyramid.
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No, the base of a pyramid must be a 2-dimensional shape so no polyhedron can be its base.
It can be any type of pyramid.
A pyramid, as well as any other solid figure bounded by plane polygons or faces, is a polyhedron.
Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.
A square based pyramid.