I don't really understand your question, but one example of a rectangular based pyramid is the Great Pyramid in Giza.
a rectangular based pyramid
A rectangular based pyramid has 5 vertices, 8 edges and 5 faces
a rectangular based pyramid has got 6 edges and four faces and four vertices.
Five.
It is a pentahedron with a rectangular base and four triangular lateral faces.
It is a frustum of a rectangular pyramid.
In trigonometry, we call it a rectangular pyramid.
A rectangle based pyramid!
a rectangular based pyramid
A rectangular prism has 8 vertices whereas rectangular based pyramid has 5 vertices
A rectangular based pyramid has 5 vertices, 8 edges and 5 faces
a rectangular based pyramid has got 6 edges and four faces and four vertices.
The best way to describe it unambiguously is calling it a rectangle based pyramid.
Five.
It is a pentahedron with a rectangular base and four triangular lateral faces.
Net of the Triangular Prism
4