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Q: What is a polyhedron with a polygon base and triangular sides that allmeet at a common vertex?
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What polyhedron have a polygon for a base and triangle sides with a common vertex?

A pyramid seems to fit the description.


What is a polygon three or more faces that are triangles with a common vertex?

A tetrahedron (4 faces) or triangular bipyramid (5 faces).


Why does not a tetraheron have one pair of parallel faces?

Each face of a polyhedron is a polygon which has at least three straight sides; all the polygons of the polyhedron join along one of their sides to another polygon to form the edges of the polyhedron.Now consider when you have two parallel faces of a polyhedron:They do not meet (as they are parallel) and so have no side in common to form an edge of the polyhedron;There must be at least three sides to each polygon which means there must be at least three more polygons to join the two faces together (one for each side of the parallel faces);Thus there are at least 2 + 3 = 5 faces to the polyhedron, ie the polyhedron has 5 or more faces.A tetrahedron has 4 faces which is less than 5 faces.Thus two of the faces of a tetrahedron cannot be parallel.The smallest polyhedron which can have a pair of parallel faces is a pentahedron with two triangular parallel faces and three quadrilateral faces joining them (for example a tetrahedron with one corner cut off by a plane parallel to the opposite face).


How many cations in a tetrahedron?

tetrahedron ( tetrahedra or tetrahedrons) is a polyhedron composed of four triangular faces, three of which meet at each corner or vertex. It has six edges and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has four faces.The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex.The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid".A cation is a positively charged ion, which is an atom or molecule with one or more of its electrons removed.


What are the most common polygon shapes?

The most common polygon shapes are as follows:TriangleQuadrilateralPentagonHexagonOctagon

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 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.


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.


What does a polygon and a polyhedron have in common?

Both are basic geometric figures. A polygon is a 2-dimensional area enclosed by straight lines. A polyhedron is an analogous figure in 3-dimensional space, but they do not have all that much in common.A polyhedron is bounded by polygons, not straight lines.


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

A pyramid seems to fit the 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.


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.


A cylinder is a prism?

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


What is a polygon three or more faces that are triangles with a common vertex?

A tetrahedron (4 faces) or triangular bipyramid (5 faces).


Why does not a tetraheron have one pair of parallel faces?

Each face of a polyhedron is a polygon which has at least three straight sides; all the polygons of the polyhedron join along one of their sides to another polygon to form the edges of the polyhedron.Now consider when you have two parallel faces of a polyhedron:They do not meet (as they are parallel) and so have no side in common to form an edge of the polyhedron;There must be at least three sides to each polygon which means there must be at least three more polygons to join the two faces together (one for each side of the parallel faces);Thus there are at least 2 + 3 = 5 faces to the polyhedron, ie the polyhedron has 5 or more faces.A tetrahedron has 4 faces which is less than 5 faces.Thus two of the faces of a tetrahedron cannot be parallel.The smallest polyhedron which can have a pair of parallel faces is a pentahedron with two triangular parallel faces and three quadrilateral faces joining them (for example a tetrahedron with one corner cut off by a plane parallel to the opposite 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