A quadrangular is an adjective, not a noun. A quadrangular pyramid will have a different number of faces from a quadrangular prism, for example.
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Six faces.
there are three
There can be a quadrangular pyramid or a quadrangular prism or other quadrangular shapes. "Quadrangular" is an adjective, not a noun. You need to be more specific.
It has five faces in all. How many are lateral depends on the configuration of the pentahedron.
Six faces.