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 Math / Science
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)•s2•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.
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