Q: How many vertex has a pyramid whose base is a rectangle?

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No. A triangular pyramid describes a triangle whose base is a triangle (not just the sides which define it as a pyramid), whereas a rectangular pyramid is one whose base is a rectangle. A triangle and a rectangle are not the same (a triangle is not a rectangle, and a rectangle is not a triangle), so it would be incorrect to refer to a triangle-based pyramid as a rectangle pyramid.

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pyramid An pyramid is a geometric solid of the shape made famous by the royal tombs of ancient Egypt. It is a solid whose base is a polygon and whose lateral faces are triangles with a common vertex

pyramid

Vertex

If by "vertex," you mean "apex," than any pyramid would fit the description.

A regular pyramid has a regular polygon base and a vertex over the center of the base. By:Cherrylvr :)

pyramid and coneIn the list given, only the cone and pyramid have a vertex.

A rectangle pyramid is a 4 sided pyramid (4 sided in the triangles) with a base of a rectangle. An Egyptian pyramid is a great example of a rectangular pyramid.

Yes. This vertex is also known as the apex.

It is a 3-dimensional shape - a polyhedron = whose base is a rectangle and which has four triangular faces attached to its sides. These free vertices of these triangles meet at an apex above the base.

There are an infinite number of such polyhedra. Starting with a tetrahedron (triangular base), the next up is the quadrilateral pyramid (quadrilateral base), then the pentagonal pyramid, the hexagonal pyramid and so on.