Fünfecksprisma

A Fünfecksprisma, also known as a pentagonal prism, is a three-dimensional geometric shape. It is a prism with two parallel and congruent pentagonal bases, and five rectangular faces connecting the corresponding sides of the bases.

The pentagonal bases are polygons with five sides. These bases can be regular pentagons, meaning all sides and angles are equal, or irregular pentagons. The connecting faces are always rectangles, and they are perpendicular to the bases if the prism is a right prism. If the connecting faces are not perpendicular to the bases, the prism is called an oblique prism.

The number of vertices in a Fünfecksprisma is ten, with five vertices on each base. The number of edges is fifteen, with five edges on each base and five edges connecting the two bases. The volume of a Fünfecksprisma is calculated by multiplying the area of its base by its height. The surface area is the sum of the areas of the two pentagonal bases and the five rectangular lateral faces.

Fünfecksprismen are used in various applications, including architecture, where they can form unique structural elements, and in the design of certain optical instruments. They are a fundamental shape in geometry and serve as a basis for understanding more complex polyhedra.