Heptagonal prism

Template:Short description Template:Infobox polyhedron File:Prisma heptagonal 3D.stl 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.

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:

$A=7L\cdot (a_p+h)$

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:

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

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

• Template:MathWorld

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