Heptagonal prism explained

Type:

Uniform polyhedron

Faces:

2 Heptagons
7 squares

Edges:

21

Vertices:

14

Wythoff:

2 7 | 2|symmetry=D_7h, [7,2], (*722), order 28|rotation_group=D₇, [7,2]⁺, (722), order 14|vertex_config=7.4.4|dual=Heptagonal bipyramid|properties=Convex semiregular|vertex_figure=Heptagonal prism vertfig.png}}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]}

Area

The area of a right heptagonal prism with height

h and with a side length of L and apothem a _{p} is given by:A = 7 L ⋅ (a _{p} + h)

Volume

The volume is found by taking the area of the base, with a side length of

L and apothem a _{p} , and multiplying it by the height h , giving the formula:V = (7)/(2) ⋅ h ⋅ L ⋅ a _{p}

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:

External links

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Notes and References

1. Web site: Area and volume calculator of a heptagonal prism . Sapiña . R. . Problemas y ecuaciones . 2659-9899 . es . June 17, 2020.
2. .