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


How many edges meet at a vertex?

A vertex can be the corner of a polyhedron in which case at least three edges meet at a vertex.


What do you call an endpoint where two edges intersect on a polyhedron?

An endpoint where two edges intersect on a polyhedron is called a vertex.


What is the difference between a polyhedron and a regular polyhedron?

A Polyhedron is a closed plane figure whose faces are portions of planes. Prisms and pyramids are examples of Polyhedron's. While a Regular Polyhedron is a Polyhedron whose facces are all regular Polygons and whose Vertices are all alike. There are only five Regular Polyhedron's: Tetahedron , Octahedron , Icosahedron , Hexahedron , and Dodecahedron .To clarify, there are five known Platonic Solids: regular polyhedrons which are convex on all their vertices.The tetrahedron is also known as the triangular pyramid: a regular one has an identical equilateral triangle for each of its four faces. This is the one Platonic solid which is self-dual, as each face has three sides and each vertex joins three edges.The regular hexahedron is better known as the cube: each of its six faces is a square, and each vertex joins three edges. Its dual counterpart is the regular octahedron. In this case, each of its eight faces is three-sides (an equilateral triangle) and each vertex joins four edges. To picture the octahedron, think two square pyramids mated on their square faces, leaving only the triangular faces.Finally, there is the regular dodecahedron (12 faces), which is composed of regular pentagons (five sides). Each vertex again joins three edges. Its dual counterpart is the regular icosahedron. It has 20 triangular faces, and each vertex joins five edges.

Related questions

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

A pyramid fits the given description


What polyhedron whose base is any polygonal region and all its other faces are triangular regions with a common vertex?

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.


3d figure with a polygonal base in 1 plane and an additional vertex not in that plane?

polyhedron


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 a tatrahedron?

No such thing A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex. Similar to a pyramid but with a triangular base.


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

pyramid


Which polyhedron has a trangular base?

There are an infinite number of possible solutions. A tetrahedron and icosahedron are regular shapes. Then there is the triangular prism. A cuboid with one vertex cut off, a cube with 2 vertices cut off, 3 vertices etc. In fact, cutting off the vertex of any polyhedron in which three sides (faces) meet at the vertex will give a new triangular face.


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


What has one common vertex and triangular faces?

Pyramid


What polyhedron have a polygon for a base and triangle sides with a common vertex?

A pyramid seems to fit the description.


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.


What is a self dual polyhedron?

For every polyhedron, there is a dual which is a polyhedron that has:a face where the first had a vertex,a vertex where the first had a face,the same number of edges.A self-dual polyhedron is a polyhedron whose dual is the same shape.All pyramids, for example, are self-dual.