hat is a retangular pyramid
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The best way to describe it unambiguously is calling it a rectangle based pyramid.
The edges for a rectangular pyramid is 8.
A rectangular pyramid has 5 bases. The base of a pyramid is the polygon upon which the pyramid stands, and in the case of a rectangular pyramid, there are four triangular faces that meet at a single rectangular base. So, the total number of bases in a rectangular pyramid is 1 (rectangular base) + 4 (triangular faces) = 5 bases.
A rectangular prism has 8 vertices whereas rectangular based pyramid has 5 vertices
Rectangular prism: 8 Rectangular pyramid: 5