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.

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:
 * Spherical heptagonal prism.svg