Heptagon Weight

This Volume of a Heptagon calculator computes the volume of a regular heptagon shaped objects with 7 equal sides of length and a height. 

INSTRUCTIONS:  Choose units and enter the following:

• (s) Length of Sides
• (h) Height of Column
• (mD) Mean Density

Mass of a Heptagon (M): The calculator returns the mass kilograms, the volume of the column in cubic meters and the surface area of the heptagon column in square meters. However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

A regular heptagon has seven equal sides and equal angles.  A heptagon volume is a heptagon shaped object with a regular heptagon cross-section (area) and perpendicular height.

The formula for a heptagon column weight is:

`M = 7/4 * cot(pi/7) * s^2* h * mD`

where:

• M = Mass of Heptagon Column
• s = Side Length of Heptagon Base and Top
• h = Height of the Column
• mD = Mean Density

Heptagon volumes appear in man-made objects.  For the Area of a Heptagon shaped surface, CLICK HERE.

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.

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

• Weight from Area, Height and Density
• Cube Weight 
• Box Weight
• Cone Weight
• Cone Frustum Weight
• Cylinder Weight
• Slanted Cylinder Weight
• Semicircle Weight
• Triangular Weight
• Quadrilateral Weight 
• Pentagon Weight 
• Hexagon Weight 
• Heptagon Weight
• Octagon Weight
• Nonagon Weight
• Decagon Weight
• Hendecagon Weight
• Dodecagon Weight
• Paraboloid Weight
• Polygon Pyramid Frustum Weight
• Sphere Mass
• Sphere Cap Weight
• Sphere Segment Weight
• Sphere Shell Mass
• Oblate Spheroid Mass
• Ellipsoid Weight
• Torus Weight
• Bottle Weight
• Bottle Content Weight
• Chamfer Weight
• Ring Weight