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What is a polyhedron with a polygon base and triangular sides that allmeet at a common vertex?
A polyhedron with a polygon base and triangular sides that all meet at a common vertex is known as a pyramid. The base can be any polygon, such as a triangle, square, or pentagon, and the triangular sides are called lateral faces. The vertex where all the triangular faces converge is referred to as the apex of the pyramid. Each type of pyramid is named based on the shape of its base, such as a triangular pyramid or a square pyramid.
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What is a polyhedron with a polygon base and and triangular sides that all meet at a common vertex?
A polyhedron with a polygon base and triangular sides that all meet at a common vertex is called a pyramid. The base can be any polygon (such as a triangle, square, or pentagon), and the triangular faces connect each edge of the base to the apex or common vertex at the top. Pyramids are named based on the shape of their base; for example, a pyramid with a square base is called a square 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 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 septahedron?
A septahedron is a polyhedron with seven faces. The most common type is the triangular bipyramid, which consists of two triangular pyramids joined at their bases, resulting in seven triangular faces. Other variations of septahedra exist, but they generally have complex geometrical properties. Like other polyhedra, septahedra can be studied in terms of their vertices, edges, and symmetry.
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 and triangular sides that all meet at a common vertex?
A polyhedron with a polygon base and triangular sides that all meet at a common vertex is called a pyramid. The base can be any polygon (such as a triangle, square, or pentagon), and the triangular faces connect each edge of the base to the apex or common vertex at the top. Pyramids are named based on the shape of their base; for example, a pyramid with a square base is called a square pyramid.
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.
What is a polygon three or more faces that are triangles with a common vertex?
A tetrahedron (4 faces) or triangular bipyramid (5 faces).
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.
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).
