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`V = 1/4 * sqrt( 5*(5 + 2* sqrt(5)))* s^2 * h`

Enter a value for all fields

This **Volume of a Pentagon** calculator computes the volume of a regular pentagon shaped objects with 5 equal sides of length (**s**) and a height (**h**).

**INSTRUCTIONS:** Choose units and enter the following:

- (
**s**) Length of Pentagon Sides - (
**h**) Height of Pentagon Shape

**Volume of a Pentagon (V):** The volume is returned in cubic meters. However, this can be automatically converted to other volume units (e.g. gallons, cubic feet) via the pull-down menu.

The calculator first computes the Area of a Pentagon shaped surface, CLICK HERE, and then multiplies that area by the height to determine the volume of the pentagon shape.

The formula for the volume of a pentagon is:

V =¼•√(5+2•√5)•s^{2}•h

where:

- V = Volume of Pentagon
- s = Side Length
- h = Height

A regular pentagon has five equal sides and equal angles. * The U.S. Pentagon * A pentagon volume is a pentagon shaped object with a regular pentagon cross-section (area) and perpendicular height.

One famous pentagon shaped object is the U.S. Pentagon, home of the U.S. military. The Pentagon has side lengths (**s**) of 921 feet, and a height (**h**) of 77 feet. Use the calculator and compute the volume.

- Polygon Area from Number of Sides and Length of Sides
- Polygon Area from Number of Sides and Outer Radius
- Area of Polygon Segment from Number of Sides and Inner Radius
- Area of Polygon from Number of Sides and Inner Radius
- Length of the Sides of a Polygon based on the Outer Radius and Number of Sides
- Length of a Side of a Polygon from Inner Radius and Number of Sides
- Perimeter of a Polygon from Number of Sides and Length of Sides
- Polygon Perimeter from Outer Radius and Number of Sides
- Polygon Perimeter from Inner Radius and Number of Sides
- Polygon Perimeter from the Area and Number of Sides

- Volume of a Cube
- Volume of a Box
- Volume of a Cone
- Volume of a Cone Frustum
- Volume of a Cylinder
- Volume of a Slanted Cylinder
- Volume of a Triangular - 3 sided column
- Volume of a Quadrilateral - 4 sided column
- Volume of a Pentagon - 5 sided regular column
- Volume of a Hexagon - 6 sided regular column
- Volume of a Heptagon - 7 sided regular column
- Volume of a Octagon - 8 sided regular column
- Volume of a Nonagon - 9 sided regular column
- Volume of a Decagon - 10 sided regular column
- Volume of a Hendecagon - 11 sided regular column
- Volume of a Dodecagon - 12 sided regular column
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer