Octagon Volume

The Octagon Volume calculator computes the volume of an octagonal shaped column or structure based on the length of its sides (s) and height (h).

INSTRUCTIONS: Choose units and enter the following:

• (s) Length of One Side of Octagon
• (h) Height of 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. 

The Math / Science

      Polygon Columns in Nature
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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:

   Volume = Area * Height

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`

Octagon Information

An octagon is a polygon with eight sides. It is a geometric shape characterized by having eight straight sides of equal length and eight angles, each measuring 135 degrees. The sum of the interior angles of an octagon is 1080 degrees. Octagons can come in various sizes and proportions but maintain the essential characteristic of eight sides. Regular octagons have all sides and angles equal, while irregular octagons can have sides and angles of different lengths and measures. Octagons are commonly encountered in geometry and can be found in various contexts, such as in the design of stop signs, certain architectural elements, and decorative patterns.

Octagon Calculators

• Octagon Area: Area of regular octagon from side length.
• Octagon Side from Area: Side length of octagon from area. 
• Octagon Radius from Area: Radius of octagon from its area.
• Octagon Radius from Side Length: Length of octagon side base on the outer radius.
• Octagon Side Length in a Square: Length of octagon side based on the width of the box or square containing it.
• Octagon Volume: Volume of a column based on side length and height.
• Octagon Column Surface Area: Surface area of column based on side length and height.
• Octagon Column Mass: Mass or weight of column based on side length, height and density.
• Octagon Planter Volume: Volume of soil and planting surface area in an octagon shaped planter based on dimensions.

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.  Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel. 

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.  One basic formula for volume is area times a Height when the volume has vertical sides.

Volume Calculators

• Volume from Area and Height
• 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 Semicircle
• 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
• Gasket Volume