Surface Area Polygon Column

This Surface Area of a Polygon Based Column calculator computes the mass or weight of a column where the base is the area of a regular polygon with (n) equal sides of length (s), the height (h) of the column, and mean density of the substance of the column.

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

Surface Area of the Column(SA): The surface area of the column is returned in square meters.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the surface area of a column with base and top of a regular polygon is:

   SA=2⋅(1/4⋅n⋅ s²⋅cot(π/n)) + (n⋅s⋅h)

where:

• SA = Surface area of polygon volume
• n = number of sides of the polygon
• s = uniform length of the sides of the polygon (i.e. regular polygon)
• h = height of the polygon shape

Polygon Columns Calculators

• Surface area of a regular polygon column
• Volume of a polygon based column
• Mass of a polygon based column