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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.

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

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

Triangle

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.

Two adjacent sides of a polygon will meet at a vertex. End points of any other pairs of sides do not have a specific name.

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pyramid

A pyramid

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

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

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.

A pyramid seems to fit the description.

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

A pyramid fits the given description

a pyramid

pyramid

A pyramid would seem to fit the given description.

Pyramid