Yes.
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Probably a pentagonal prism.
A pentagonal is not a shape. You an have a pentagonal pyramid, a pentagonal prism or a pentagonal polyhedron as well as other shapes - each would give a different set of answers.
Any. You can have a triangular pyramid (tetrahedron), a rectangular one, a pentagonal one, and so on. Similarly, you can have a triangular prism, a rectangular prism, and so on.
A pentagonal prism is a polyhedron: a three-dimensional object bounded by plane faces. It consists of a pentagonal face with another which is a translation in the direction perpendicular to it. These two faces are joined together by 5 rectangular faces. This definition is rather complex: that is to exclude shapes derived from pentagonal prisms by "squashing" or "twisting".
Yes, it is.