Yes. A square consists of two pairs of parallel lines!
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No, pyramids of any kind will never have any parallel faces. This is because all of the faces, excluding the base, must meet at a single point.
5 faces, 4 lateral faces, 1 base, 5 vertices, 8 edges.
None!!!! Every face is angles to its adjacent and opposite faces.
The description given seems to fit that of a square based pyramid.
15 faces on three