A pentagonal heptahedron is a heptahedron comprising two pentagons which are joined to one another by five quadrilaterals. There is no requirement for the pentagons to be congruent nor for them to be parallel to one another.
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A hexagonal based pyramid is the best description since it is not ambiguous. The shape is a heptahedron but that name could also apply to a pentagonal prism as well as some exotic shapes.
A heptahedron is a seven-faced polyhedron. The number of pairs of parallel faces in a heptahedron can vary depending on its specific shape and configuration. For example, a regular heptahedron, such as a truncated triangular prism, may have pairs of parallel faces, while other irregular heptahedra may not have any. Therefore, the answer is not fixed and can range from zero to multiple pairs based on the specific heptahedron in question.
A polyhedron of 5 or more sides can always be found that has a rectangular face. So three shapes are:a pentahedron (rectangle based pyramid),a hexahedron (cuboid),a heptahedron (pentagonal pyramid).
A pentagonal what? A pentagonal pyramid or pentagonal prism have different numbers of vertices.
heptahedron