Calculate The Volume Of A Pentagonal Pyramid

Select a type of pyramid below

Rectangular Base

Square Base

Equilateral Triangular Base

Tetrahedron

Pentagonal Base

Hexagonal Base

A pentagonal pyramid is a polyhedron with a pentagonal base and five triangular faces connecting to a single apex. This geometric shape has six vertices and ten edges, with the triangular faces meeting at the top, forming a vertex.

In architecture, pentagonal pyramids can be found as decorative elements in various structures or as the design inspiration for buildings with unique and eye-catching appearances. They are also used in the gaming industry, where pentagonal pyramids serve as unconventional dice in board games and role-playing games.

Easily calculate the volume of a pentagonal pyramid with step-by-step guidance using our free calculator below.

The formula for determining the volume of a pentagonal pyramid is defined as:

\(V\) \(=\) \(\dfrac{5}{12}\) \(\cdot\) \(\tan(54^\circ)\) \(\cdot\) \(h\) \(\cdot\) \(a^3\)

\(V\): the volume of the pyramid

\(a\): the length of any side of the base

\(h\): the height of the pyramid

The SI unit of volume is: \(cubic \text{ } meter\text{ }(m^3)\)

Volume Unit Converter