askvity

How many edges does a sphere prism have?

Published in Geometry 1 min read

A sphere prism does not exist as a standard geometric shape. A sphere has a curved surface and no edges, while a prism has flat faces and straight edges. Therefore, the question is based on a nonsensical combination of terms.

A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a ball. It has no edges or vertices.

A prism is a polyhedron with two parallel and congruent faces called bases, and other faces called lateral faces which are parallelograms. A prism has edges where its faces meet. The number of edges depends on the shape of the base. For example:

  • A triangular prism has 9 edges.
  • A rectangular prism has 12 edges.
  • A pentagonal prism has 15 edges.

Since the term "sphere prism" combines a shape without edges (sphere) and implies a prism-like structure with edges, the concept is contradictory.

Therefore, a sphere prism does not exist and has no edges.

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