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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.
A quadrangular is an adjective, not a noun. A quadrangular pyramid will have a different number of faces from a quadrangular prism, for example.
It has 4 bases.
Six faces.
If a prism has a 32-sided base, then the prism has 32 rectangular sides and two sides (bases) that are 32-sided polygons. That makes 34 sides in total.