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What is the formula for finding how many pyramids and prisms have how many edges, faces and vertices?
An N-pyramid has 2N sides, N+ 1 faces and N+ 1 vertices.

N prism has 3N edges, N+2 faces and 2N vertices.

Prism is a common three-dimensional polyhedron in geometry, which refers to a closed geometry that two parallel planes are vertically cut by three or more planes.

In geometry, pyramid, also known as pyramid, is a three-dimensional polyhedron, which consists of each vertex of a polygon connecting a straight line to a point outside its plane. The polygon is called the bottom of the pyramid.

With the shape of the bottom, the name of the pyramid is different, depending on the polygon at the bottom. For example, a pyramid with a square base is called a square pyramid, a pyramid with a triangular base is called a triangular pyramid, and a pyramid with a pentagonal base is called a pentagonal pyramid.

Extended data:

Pyramid:

Bottom of the pyramid: The polygon in the pyramid is called the bottom of the pyramid.

Side face of the pyramid: Except the bottom face, all sides of the pyramid are called sides of the pyramid. .

Side of the pyramid: The common side of adjacent sides is called the side of the pyramid.

The apex of the pyramid; The common vertex of each side of the pyramid is called the vertex of the pyramid.

Height of the pyramid: The distance from the apex to the bottom of the pyramid is called the height of the pyramid.

Diagonal face of the pyramid; The cross section of a pyramid passing through two nonadjacent sides is called a diagonal plane.

Prism:

Prism is the simplest polyhedron. Some common objects, such as prisms, square bricks and screw heads, are prismatic.

Prism is formed by the overall translation of a plane composed of straight lines along a straight line that is not parallel to the plane.

Prism: Two faces are parallel to each other, the other face is a quadrilateral, and the common sides of every two adjacent quadrilaterals are parallel to each other. A polyhedron surrounded by these faces is called a prism. Prisms are represented by letters representing the vertices of the bottom surface.

Bottom surface of prism: Two parallel surfaces in a prism are called the bottom surface of the prism.

Side face of prism: All sides of prism except two bottom faces are called side faces of prism.

Side edge of prism: The common edge of two sides of prism is called the side edge of prism.

Vertex of prism: In a prism, the common vertex of the edge and the bottom is called the vertex of the prism.

Diagonal line of prism: the line connecting two vertices in a prism that are not on the same plane of the surface is called diagonal line of the prism.

Height of prism: The distance between the two bottom surfaces of prism is called the height of prism.

Diagonal plane of prism: The cross section of a prism passing through two non-adjacent sides is called the diagonal plane of the prism.

References:

Prism-Baidu encyclopedia

Pyramid-Baidu Encyclopedia