The 3-d equivalent of a polygon is called a polyhedron. A polyhedron can have 4 or more faces. Cutting off a section of the polyhedron near a vertex adds another face. And it adds at least two more vertices (at least three new, but one lost), so you can keep adding faces.
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Six faces
A regular polygon has equal sides and angles. A polygon has a surface area but a polyhedron has many faces as for example a pyramid.
A 3D square is surely a cube? Therefore, a cube has 6 faces.
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There are an infinite number of 3d shapes. For example you can have an infinite number of prisms with ends that are triangular, quadrilateral, or in the shape of any polygon.