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cylinder is the name for a circular prism
a triangular based pyramid
The rectangular pyramid got its name through its base, a rectangle.
A square pyramid's base is a square. You can tell by the name (for exp. a triangular pyramid's base is a triangle.) Good luck with whatever you need it for :)
It has 5 faces. The "quadrilateral" part of the name describes the shape of the base of the pyramid. A pyramid has 1 face for every side of the base plus an extra one for the base. Thus a quadrilateral pyramid has a quadrilateral or 4 sided shape for the base and so has 4 + 1 = 5 faces.