Faces are sides of 3-dimensional objects. If these faces are four bounded by four straight lines then they are quadrilateral faces.
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A quadrilateral is a 4 sided polygon with one flat face
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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.
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.
A quadrilateral based pyramid.