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then it's a - Dodecahedron
A hexagonal based pyramid seems to fit the given description
A cube, a cuboid, a parallelopiped are three examples. The name for a general shape of this family would probably be a quadrilateral hexahedron (six faces, each of which is a four-sided plane figure)..
A twelve sided shape is a dodecagon.
There are twelve edges in a rectangular prism.