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Five
5 Flat surfaces 4 flat surfaces (3 for the sides and 1 for the base).
Yes, it has five surfaces.
A square based pyramid has 5 faces, 8 edges and 5 vertices
A pyramid is a generic term and can have any number (>3) of plane faces. A triangular pyramid has 4 faces, a rectangular one has 5, and so on. A pyramid whose base has n sides has n+1 faces.