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The answer is no. A square pyramid can not have all triangle faces because the base of this particular pyramid would be a square.
A prism (which is basically an extruded triangle). It has 5 faces, just like a square pyramid.
The faces are the flat, triangle-shaped surfaces that make up the surface of the pyramid. A pyramid has four faces.
A pyramid.
A pyramid can have 0 or 1 square faces. It can have 4 or more faces - there is no limit.