There is no such thing as a hexagonal solid. A regular hexagon will tessellate and so it forms a plane (2-D) surface, not a 3-D shape.
A 3-D shape with six faces is a hexahedron and this could be a triangular bipyramid with 5 vertices, a parallelepiped with 8 vertices, a pentagonal pyramid with six vertices. There are also other possible shapes.
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