Polygon Volume Calculator: Determine Regular Polygonal Prism Volume

Calculate the Volume of a Regular Polygonal Prism

A polygon must have at least 3 sides (triangle).
Calculate the volume of any regular polygonal prism with our free online Polygon Volume Calculator. Input number of sides, side length, and height for instant, accurate results. Perfect for geometry students and professionals.

Formula:

The volume of a regular polygonal prism is calculated by multiplying the area of its polygonal base by its height. This calculator focuses on prisms with regular polygonal bases.

Formula for Area of a Regular Polygon Base (A):

A = (n × s2) / (4 × tan(π/n))

Where:

  • n = Number of sides of the regular polygon
  • s = Length of each side of the polygon
  • π = Pi (approximately 3.14159)
  • tan = Tangent function (angles in radians)

Formula for Volume of a Regular Polygonal Prism (V):

V = A × h

Where:

  • A = Area of the polygonal base
  • h = Height of the prism

The units of the volume will be the cube of the input unit (e.g., if side length and height are in centimeters, volume will be in cubic centimeters).

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