A pyramid can have 0 or 1 square faces. It can have 4 or more faces - there is no limit.
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5 faces do a square pyramid
A rectangular pyramid, or a square pyramid, has 5 faces in all.
A square pyramid will not have any curved faces.
A square pyramid has 5 faces and 5 vertices.
Four(4). It is formally named as a 'tetrahedron'. There is the triangular base ; one side. and three triangular faces m aking for a total of four faces. A square based 'pyramid' is formally a 'pyramid'. A square base and four triangular faces.