Hexagon Mass

$V = 3/2 * sqrt(3) * "s" ^2 * "h"$

$(s)"Length of Sides"$

$(h)"Height of Hexagon"$

$(mD)"Mean Density"$

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

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

Corn - 721 (56 lb/bu)
Wheat - 772 (60 lb/bu)
Barley - 618 (48 lb/bu)
Oats - 412 (32 lb/bu)
Rye - 721 (56 lb/bu)
Soybean - 772 (60 lb/bu)

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.