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Octagon Weight

vCalc Reviewed
m=2(1+√2)⋅s2⋅h⋅mDm=2(1+√2)⋅s2⋅h⋅mD
(s)length of one side
(h)height of octagon
(mD)Mean Density

The Mass or Weight of an Octagon Volume calculator computes the mass of an octagonal shaped column or structure based on the length of the sides, the height and the mean density.  /attachments/1f4f3248-4ad4-11e7-9770-bc764e2038f2/OctagonVolume.png

INSTRUCTIONS: Choose your preferred units and enter the following:

  • (s) Length of One Side of Octagon
  • (h) Height of Object
  • (mD) Mean Density of Substance composing the column (e.g. 2,681 kg/m3 for granite).

Octagon Mass(m): The calculator returns the mass in kilograms.  However, this can be automatically converted to other mass or weight units (e.g. pounds, tons, grams) via the pull-down menu. 

/attachments/1f4f3248-4ad4-11e7-9770-bc764e2038f2/PolygonVolume.JPG       Polygon Columns in Nature
  Giant's Causeway in North Ireland

The Math / Science

A regular octagon is an eight sided polygon where all of the sides are the same length (s) and all of the interior angles are the same.  With a height (h), one can create a octagon shaped object (e.g. column or planter) and compute the volume of the octagon.  The mass or weight of the octagon column is simply the volume times the mean density of the material comprising the column.

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

Mean Density Table

Common Mean Densities in Kilograms per Meter Cubed (kg/m3)

Fluids

  • Pure Water - 1,000  
  • Seawater - 1,022  
  • Milk - 1,037 
  • Olive Oil - 860
  • Cement Slurry - 1,442 

Fuels

  • Diesel Fuel - 885 
  • Crude Oil - 870 to 920  
  • Fuel Oil -  890  
  • Ethanol - 789  
  • Gasoline (petrol) - 737 
  • Propane - 493 
  • Liquid Natural Gas - 430 to 470 

Market-Ready Grains

 

Metals

Earthen

  • Concrete - 2,371
  • Dirt - 1,250
  • Fire Clay - 1,362
  • Glass - 2,500
  • Granite - 2,691
  • Sand (dry) - 1,602
  • Sand (wet) - 2,082
  • Sandstone - 2,323

Synthetic

  • Bakelite - 1,362
  • Carbon Fiber - 2,000

Organic

  • Balsa - 170
  • Cork - 240
  • Mahogany - 545
  • Oak - 760
  • Pine - 539
  • Rubber - 1,522
                 Mean Density Lookup Function

Mean density is scientifically volume divided by mass.  There are  various unit for density adopted by cultures and industries. Common units for density included the following:

  • kilograms per cubic meter (kg/m3)
  • grams per cubic centimeter (g/cm3)
  • grams per liter (g/L)
  • pounds per cubic feet (lb/ft3)
  • ounces per cubic inch (oz/in3)
  • pounds per barrel (lb/bbl)
  • pounds per bushel (lb/bu)

If you want to identify a material by its density, use the Density Within Range tool.


Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object.  On the surface of the Earth, mass and weight are often interchanged.  In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight).

The Weight Calculators use the dimensions of an object and its shape to compute the objects volume.  They then apply a density associated with a material to estimate the objects weight.

Weight Calculators