The Octagon Volume calculator computes the volume (V) of an octagonal shaped column or structure 
Regular Octagon based on the length of its sides (s) and height (h)
INSTRUCTIONS: Choose units and enter the following:
- (s) Length of one side of the octagon
- (h) Height of the object
Octagon Volume (V): The calculator returns the volume in cubic yards. However, this can be automatically converted to other volume units (e.g. gallons, cubic inches) via the pull-down menu.
Related Calculators:
Polygon Columns in Nature
Giant's Causeway in North Ireland
- To compute the Mass or Weight of Octagon Volume, CLICK HERE.
- To compute the Surface Area of an Octagon Volume:, CLICK HERE.
The Math
A regular octagon is an eight sided polygon where all of the sides are the same length (s), with a height (h), one can create a octagon shaped object (e.g. column or planter)
Volume of a uniformed shaped object such as an octagon column is derived by the following formula:
Where the Area =`2(1 + sqrt(2))*s^2` for an octagon. Therefore, the volume of an octagon column can be computed with the following formula:
`V_(oct)= 2 (1 + sqrt(2)) * s^2 * h`
Volume is a three dimensional measurement of the amount of space taken up by an object. 
Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluid objects have separate units such as fluid ounces, gallons, barrel and liters.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. The most basic form is an Area times a Height.
Volume Calculators
- Volume of a Cube
- Volume of a Box
- Volume of a Cone
- Volume of a Cone Frustum
- Volume of a Cylinder
- Volume of a Slanted Cylinder
- Volume of a Triangular
- Volume of a Quadrilateral
- Volume of a Pentagon
- Volume of a Hexagon
- Volume of a Heptagon
- Volume of a Octagon
- Volume of a Nonagon
- Volume of a Decagon
- Volume of a Hendecagon
- Volume of a Dodecagon
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Sphere Cap
- Volume of a Sphere Segment
- Volume of a Sphere Shell
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer