Heptagonal prism

Prism with a 7-sided base From Wikipedia, the free encyclopedia

Heptagonal prism

In geometry, the heptagonal prism is a prism with heptagonal base. This polyhedron has 9 faces (2 bases and 7 sides), 21 edges, and 14 vertices.[1][2]

Quick Facts Type, Faces ...
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3D model of a (uniform) heptagonal prism.

Area

The area of a right heptagonal prism with height and with a side length of and apothem is given by:[1]

Volume

The volume is found by taking the area of the base, with a side length of and apothem , and multiplying it by the height , giving the formula:[1]

This formula also works for the oblique prism due to the Cavalieri's principle.

Images

The heptagonal prism can also be seen as a tiling on a sphere:

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More information Prism name, Digonal prism ...
Family of uniform n-gonal prisms
Prism name Digonal prism (Trigonal)
Triangular prism
(Tetragonal)
Square prism
Pentagonal prism Hexagonal prism Heptagonal prism Octagonal prism Enneagonal prism Decagonal prism Hendecagonal prism Dodecagonal prism ... Apeirogonal prism
Polyhedron image ...
Spherical tiling image Plane tiling image Thumb
Vertex config. 2.4.43.4.44.4.45.4.46.4.47.4.48.4.49.4.410.4.411.4.412.4.4...∞.4.4
Coxeter diagram ...
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References

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