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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.

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Q: What polyhedron whose base is any polygonal region and all its other faces are triangular regions with a common vertex?
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What is a polyhedron in which one face can be any polygon and the lateral faces are triangles that meet at a common vertex?

A pyramid has a polygonal base with all other sides being triangles. As the Egyptians famously demonstrated, a common pyramid has a square base with four triangles meeting at a vertex, but any polygon - regular or irregular - can be used as the base of such a polyhedron.


What is Definition of a square pyramid?

A polyhedron of which one face is a square, and the other faces are triangles with a common vertex.


How many sides does a prism and a pyramid have?

A prism is any 3 dimensional geometric object with parallel bases which are congruent polygons. The lateral faces of a prism are parallelograms. We generally talk of an n-sided prism where n is a natural number telling us the number of sides the prism has. To be more precise an prism is a polyhedron with two congruent polygonal faces and all the remaining faces are parallelograms. A cube is a common example of a prism. It has six sides. A triangular prism has 5 sides. So the answer to the questions : how many sides does a prism have? is it all depends on the prism, it can have different number of sides. Now a pyramid is also a 3 dimensional shape but instead of two bases it has one base connected to a point called the apex. The base of a prism is a polygon and a prism is a polyhedron also. It can have different number of sides also so there is once again no fixed answer.


What does pyramid mean in math terms?

A polyhedron of which one face is a polygon of any number of sides, and the other faces are triangles with a common vertex.


How many faces does a pyramid have?

It depends! A pyramid can have any number of faces, in the same way that a shape can be of any size and can have any number of sides. The most basic pyramids usually have 5 faces.Square-based pyramids have 5 faces, and triangular-based pyramids have 4 faces.

Related questions

What is polyhedron with polygonal base and triangular sides with common vertex?

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


What is the deffinition of pyramid?

A solid figure with a polygonal base and triangular faces that meet at a common point.


What is a polyhedron having a polygon for a base and triangular sides with a common vertex?

A pyramid fits the given description


What is a three dimensional figure formed by regions shaped like polygons that share a common side?

a polyhedron


What is a polyhedron with a polygon base and triangular sides that all meet at a common vortex?

A pyramid would seem to fit the given description.


What is a polyhedron in which one face can be any polygon and the lateral faces are triangles that meet at a common vertex?

A pyramid has a polygonal base with all other sides being triangles. As the Egyptians famously demonstrated, a common pyramid has a square base with four triangles meeting at a vertex, but any polygon - regular or irregular - can be used as the base of such a polyhedron.


Is a pyramid a qudrilateral?

quadrilateral is a polygon with four sides or edges and four vertices or corners A pyramid is a solid figure with a polygonal base and triangular faces that meet at a common point. So no.


What is a polyhedron with 1 base 4 lateral faces that meet at a common vertex and the edges of the base are all the same length?

The given description fits that of a triangular based pyramid which has 4 faces, 6 edges and 4 vertices


Is a cylinder a prism?

No, a prism has flat sides. Triangular prisms are very common, but any polygon can be the cross section of a prism.


How were the pyramids different from the Egyptians?

A pyramid is a solid figure with a polygonal base and triangular faces that meet at a common point, while the Egyptians are people who did and currently do live in Egypt. Ancient Egyptians built the Pyramids of Giza.


Are pyramids 4 sided?

Pyramids may appear four sided but they actually not. The reason they appear four sided in pictures and videos is because of the distance the shots were taken. On closer look, they have about eight sides. Some people believe this multiple sides actually keep the pyramids for this long and also protects them from being affected by tectonic movements


Polyhedron in which the lateral faces are triangles with a common vertex?

pyramid