Hexagon Mass

The Hexagon Mass calculator computes the mass or weight of a regular Hexagon shaped object or column based on its dimensions and density.  

INSTRUCTIONS: Choose units and enter the following

• (s) Length of Hexagon Sides
• (h) Height of Hexagon
• (mD) Mean Density (default of 745 kg/m³ for apple wood)

Hexagon Mass (m):  The mass is returned in kilograms.  However, this can be automatically converted to compatible units via the pull-down menu. 

The Math / Science

A regular hexagon is a six sided polygon where all of the sides are the same length (s).  A hexagon volume has the extra dimension of height (h).  See the diagram.  The formula for the volume of a hexagon column is:

          V= ³/₂ • √3 • s² • h

where:

• V is the volume of the hexagon column
• s is the length of one side of the regular hexagon
• h is the height of the column.

Mass is simply:

M  = V * mD

where:

• M = mass
• V = volume
• mD = Mean Density

Mean Density Table

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.