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# Calculate The Volume of A Pentagonal Pyramid

Last updated: Saturday, June 24, 2023
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: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a pentagonal pyramid when the area of the base and the height of the pyramid are given.
Hold & Drag
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the length of any side of the base
$$a$$
$$meter$$
the height of the pyramid
$$h$$
$$meter$$
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