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`V = (1/4 * "n" * ( s )^2 cot(pi/ "n" )) * h `

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This **Volume of a Polygon** based column equation computes the volume of a column where the base is the area of a regular polygon with (**n**) equal sides of length (**s**) combined with the height (h) to compute the volume.

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

**n**- the number of sides of the regular polygon**s**- the length of a side of the polygon**h**- height of the polygon column

**Column Volume(V):** The calculator returns the volume in cubic meters. However, this can be automatically converted to other volume units via the pull-down menu.

The formula for the volume of a polygon based shape is:

`V = (1/4 * n * s^2 cot(pi/n)) * h`

where:

- V = Volume of the Polygon based column
- n = number of sides of the polygon
- s = length of the side of the polygon
- h = height of the polygon

A regular **n**-sided polygon is a polygon with **n** equal length sides and is a polygon which has **n** equal angles at the **n** vertices of the polygon. A vertical column with a base of a regular polygon has a volume of V = Area of Base X Depth. Where the depth is the height of the column.