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Heptagonal prism

Prism with a 7-sided base

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Source updated December 27, 2025

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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.

01Area

The area of a right heptagonal prism with height $h$ and with a side length of $L$ and apothem $a_{p}$ is given by:

$A=7L\cdot (a_{p}+h)$

02Volume

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:

$V={\frac {7}{2}}\cdot h\cdot L\cdot a_{p}$

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

03Images

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

Watch videos about Heptagonal prismExplainers and documentaries on YouTube (opens in a new tab)

Sources and credits

This article is adapted from the Wikipedia article “Heptagonal prism”, written by its contributors and licensed under CC BY-SA 4.0. Fathomly has changed the layout, removed citation markers, navigation and maintenance notices, and adjusted punctuation. This adapted version is shared under the same license. For references, see the original article.

Images, from Wikimedia Commons:

Prism 7.png by Tomruen at en.wikipedia, Public domain
Prisma heptagonal 3D.stl by P. Gómez, CC BY-SA 4.0

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