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 Math / Science
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.