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.
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A pyramid which has a total of 5 faces is a quadrilateral based pyramid.
If it is a simply connected polyhedron then it is a quadrilateral based pyramid and so has 5 faces.If it is a simply connected polyhedron then it is a quadrilateral based pyramid and so has 5 faces.If it is a simply connected polyhedron then it is a quadrilateral based pyramid and so has 5 faces.If it is a simply connected polyhedron then it is a quadrilateral based pyramid and so has 5 faces.
8 edges. It is a quadrilateral based pyramid.
A quadrilateral based pyramid.
If the base is a polygon with n sides, the pyramid will have n+1 faces. Triangle base (3 sides) gives 5 faces, Quadrilateral base (4 sides) has 5 faces, etc.