The Volume of Quadrilateral calculator computes the volume of a column of height (h) with a quadrilateral base defined by the length of the four sides (a,b,c,d) and the length of a diagonal between opposing corners (D).
INSTRUCTIONS: Choose units and enter the following:
- (a) Length of Side a
- (b) Length of Side b
- (c) Length of Side c
- (d) Length of Side d
- (D) Length of Diagonal (See Diagram)
- (h) Height of Quadrilateral Volume
- (mD) Mean Density
Quadrilateral Mass (M): The mass is returned in gram. However this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
A quadrilateral is a polygon that has four sides, four vertices (corners), and four angles. The sum of the interior angles of any quadrilateral is always 360 degrees. Quadrilaterals can vary widely in shape and properties, including:
- rectangles: squared corners and pairs of equal sides
- squares: squared corners and equal sides
- parallelograms: two sets of parallel sides
- trapezoids: one set of parallel sides
- rhombuses: four equal sides
- kites: two pairs of equal and adjacent sides
Quadrilateral Calculators
- Quadrilateral Area from Sides and Diagonal
- Quadrilateral Area from Sides and Angles
- Quadrilateral Perimeter
- Quadrilateral Semi-Perimeter
- Quadrilateral Volume
- Quadrilateral Weight
- Rectangle Area (A = ω ⋅ h)
- Rectangle Diagonal
- Trapezoid Area: From on top, bottom lengths and separation
- Trapezoid Area from Length of Sides
- Height of a Trapezoid
- Angles of a Trapezoid
- Area of a Kite (or Rhombus)
Mean Density Table
| Common Mean Densities in Kilograms per Meter Cubed (kg/m3) | ||
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Fluids
Fuels
Market-Ready Grains |
Metals
|
Earthen
Synthetic
Organic
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| 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
- 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