Mass of Shapes and Containers

vCalc Reviewed
Calculator / Last modified by KurtHeckman on 2016/04/19 21:05
Mass of Shapes Formula
Cube Paraboloid
Box Pyramid
Cone Pyramid - Frustum
Cone - Frustum Sphere
Cylinder Sphere - Cap
Cylinder Slanted Sphere - Segment
Ellipsoid Prism
Capsule Torus
Bottle Chamfer
Mass of Volume of Substance
air benzene water
dirt ethanol ice
concrete glycerine blood
lead aluminum mercury
brass copper steel
gold silver iron
meanDensity Lookup

The Mass of Shapes and Containers calculator contains the mass / weight equations for a variety of geometric shapes and provides the mean density for a large number of substances.   Spheres.pngspheres

Description

The Mass of Shapes and Containers equations in this calculator let the user:

  1. Choose a geometeric shape or container type,
  2. enter the dimensions of the object, and
  3. enter a mean density to calculate the object's approximate mass.  Assuming nominal Earth gravity, the mass can be converted to nominal Earth surface weight (e.g. pounds from kilograms).  

vCalc provides a lookup function that contains the mean density in kilograms per cubic meter of hundreds of substances from farm commodities (e.g. grains, woods, etc) to quary items (types of stone and sand) to commonly transported liquids (e.g. water, diesel). 

The basic formula for all of the equations is this:

                           ` "mass" = mu"Density" * "volume"`

Geometric Shapes or Containers

The mass equations in this calculator are based on three dimensional (3D) shapes and equations to calculate their volume.  The geometric shapes included in this calculator are:

  • Cube, Box, Cone, Cone (frustum), Cylinder, Slanted Cylinder,
  • Ellipsoid, Capsule, Bottle, Paraboloid, Pyramid, Pyramid Frustum, 
  • Sphere, Sphere Cap, Sphere Segment, Prism, Torus, Chamfer   Shapes - Ellipsoid etc.pngvarious frustums

Mean Density

This calculator  also includes a function that provides the mean densities for some common substances.  Use these functions to provide the mean density of a substance.  The user can copy the answer and enter it into the volume calculations to determine the approximate mass or weight.  Common substances have buttons with their weight including the following: 

  • air - benzene - water 
  • dirt - ethanol - ice
  • concrete - glycerine - blood
  • lead - aluminum - mercury 
  • brass - copper - steel
  • gold - silver - iron

vCalc also provides a look-up function for many more mean densities.  Using the meadDensity Lookup, the user can choose any of the following substances and vCalc will return the mean density:

Acetic Acid ,Acetone,Acetonitrile,Actinium,Afromosia,air,Alcohol - ethyl,Alcohol - methyl,Alcohol - propyl,Alfalfa - ground,Alum - lumpy,Alum - pulverized,Alumina,Aluminum - 1100, combo.png combinations Aluminum - 6061,Aluminum - 7050,Aluminum - 7178,Aluminum - melted,Aluminum - oxide,Aluminum (aluminium),Aluminum foil,Ammonia (aqua),Ammonia gas,Ammonium Nitrate,Ammonium Sulphate - dry,Ammonium Sulphate - wet,Analine,Andesite - solid,Antifriction metal,Antimony,Apple wood,Apples,Arsenic,Asbestos - shredded,Asbestos rock,Ash - black,Ash - white,Ashes - dry,Ashes - wet,Aspen wood,Asphalt - crushed,Automobile oils,Babbitt,Bagasse,Bakelite - solid,Baking powder,Balsa,Bamboo,Barite - crushed,Barium,Bark - wood refuse,barley,Basalt - broken,Basalt - solid,Bauxite - crushed,Beans - castor,Beans - cocoa,Beans - navy,Beans - soy,Beer (varies),Beeswax,Beets,Bentonite,Benzene,Benzil,Beryllium,Copper - beryllium,Bicarbonate of soda,Birch (British),Bismuth,blood,bone,Bones - pulverized,Borax - fine,Bran,Brass,Brass - 60/40,Brass - admiralty,Brass - casting,Brass - red,Brass - rolled and drawn,Brass - yellow,Brewers grain,Brick - chrome,Brick - common red,Brick - fire clay,Brick - magnesia,Brick - silica,Brine,Bromine,Bronze - Aluminum (3-10% Al),Bronze - lead,Bronze - Manganese,Bronze - phosphorous,Bronze (8-14% Sn),Brushed metal,Buckwheat,Butane,Butter,Butyric Acid,Cadmium,Caesium,Calcium,Calcium carbide,Caliche,Caproic acid,Carbolic acid,carbon,Carbon - powdered,Carbon - solid,Carbon dioxide,Carbon disulfide,Carbon monoxide,Carbon tetrachloride,Cardboard,Carene,Castor oil,Cedar - red,Cement - clinker,Cement - mortar,Cement - portland,Cement - slurry,Cerium,Chalk - fine,Chalk - lumpy,Chalk - solid,Charcoal,Chloride,Chlorobenzene,Chloroform,Chocolate - powder,Chromic acid - flake,Chromium,Chromium ore,Cinders - Coal - ash,Cinders - furnace,Citric acid,Clay - compacted,Clay - dry excavated,Clay - dry lump,Clay - fire,Clay - wet excavated,Clay - wet lump,Clover seed,coal - anthracite,Coal - Anthracite - broken,Coal - Anthracite - solid,coal - Bituminous (loose),Coal - Bituminous (broken),Coal - Bituminous,coal - lignite,Cobalt,Cobaltite ( cobolt ore ),Coconut - meal,Coconut - shredded,coconut oil,Coffee - fresh beans,Coffee - roast beans,Columbium,common red brick,concrete,Concrete - Asphalt,  Shapes Top.png various shapes Concrete - Gravel,Concrete - Limestone with Portland,Constantan,Copper,Copper ore,Copper sulfate - ground,Copra - expeller cake chopped,Copra - expeller cake ground,Copra - meal - ground,Copra - medium size,Cork - ground,Cork - solid,Corn - grits,Corn - on the cob,Corn - shelled,Cotton,Cotton seed oil,Cottonseed - cake - lumpy,Cottonseed - dry - de-linted,Cottonseed - dry - not de-linted,Cottonseed - hulls,Cottonseed - meal,Cottonseed - meats,Cottonwood,Creosote,Cresol,Crude oil - 32.6ø API,Crude oil - 35.6ø API,Crude oil - 40ø API,Crude oil - 48ø API,Crude oil - California,Crude oil - Mexican,Crude oil - Texas,Cryolite,Cullet,Culm,Cumene,Cupronickel,Cyclohexane,Cyclopentane,Cypress,Decane,Delta metal,Dichloromethane,Diesel fuel oil 20 to 60,Diethyl ether,Diethylene glycol,Dimethyl Acetamide,Dimethyl Sulfoxide,dirt,Dodecane,Dolomite - lumpy,Dolomite - pulverized,Dolomite - solid,Douglas Fir,Duralumin,Earth - dense,Earth - Fullers - raw,Earth - loam - dry - excavated,Earth - moist - excavated,Earth - packed,Earth - soft loose mud,Earth - wet - excavated,Ebony,Electrum,Electrum,Elm ( English ),Elm ( Rock ),Elm ( Wych ),Emery,Eroded metal,Ethane,ethanol,Ether,Ethyl Acetate,Ethyl Alcohol,Ethyl Ether,Ethylamine,Ethylene Dichloride,Ethylene glycol,Europium,fat,Feldspar - pulverized,Feldspar - solid,Fertilizer - acid phosphate,fire clay brick,Fish - meal,Fish - scrap,Flax,Flaxseed - whole,Flint - silica,Flour - wheat,Flue dust,Fluorine refrigerant R-12,Fluorspar - lumps,Fluorspar - pulverized,Fluorspar - solid,Formaldehyde,Formic acid 10% concentration,Formic acid 80% concentration,Freon - 11,Freon - 21,Fuel oil,Fullers Earth - raw or burnt,Furan,Furforol,Galena ( lead ore ),Gallium,Garbage - household rubbish,Gas oils,Gasoline - Petrol,Germanium,Glass - broken or cullet,glass - common,glass - densest flint,glass - lead crystal,Glass - window,Glucose,Glue - animal - flaked,Glue - vegetable - powdered,Gluten - meal,Glycerin,Glycerol,Glyme,Gneiss - bed in place,Gneiss - broken,Gold,Grain - Barley,Grain - Maize,Grain - Millet,Grain - Wheat,Granite - broken,Granite - solid,Graphite - flake,Gravel - dry 1/4 to 2 inch,Gravel - loose - dry,Gravel - wet 1/4 to 2 inch,Gravel - with sand - natural,Gummite ( uranium ore ),Gypsum - broken,Gypsum - crushed,Gypsum - pulverized,Gypsum - solid,Hafnium,Halite (salt) - broken,Halite (salt) - solid,Hastelloy,Hemp,Heptane,Hexane,Hexanol,Hexene,Hydrazine,Hydrochloric acid 40%,ice,Ice - crushed,Ilmenite,Indium,Iodine,Ionene,Iridium,Iroko,iron,iron - Cast,iron - ore (Hematite),iron - Wrought,Iron oxide pigment,Iron Pyrites,Iron sulphate - pickling tank - dry,Iron sulphate - pickling tank - wet,Isobutyl Alcohol,Iso-Octane,Isopropyl Alcohol,Isopropyl Myristate,Ivory,Kaolin - green crushed,Kaolin - pulverized,Kerosene,Lanthanum,Larch,Lead,Lead - red,Lead - white pigment,Leather,Light alloy based on Al,Light alloy based on Mg,Lignite - dry,Lignum Vitae,Lime - hydrated,Lime - quick - fine,Lime - quick - lump,Lime - stone - large,Lime - stone - lump,Lime - wet or mortar,Limestone - broken,Limestone - pulverized,Limestone - solid,Limonite - broken,Limonite - solid,Linolenic Acid,Linseed - meal,Linseed - whole,Linseed oil,Lithium,Locust - dry,lupins,magnesia brick,Magnesite - solid,Magnesium,Magnesium oxide,Magnesium sulphate - crystal,Magnetite - broken,Magnetite - solid ( iron ore ),Mahogany ( African ),Mahogany ( Honduras ),Malachite ( copper ore ),Malt,Manganese - solid,Manganese oxide,Manganin,Manure,Maple,Marble - broken,Marble - solid,Marl - wet - excavated,MEK,Mercury,Methane,Methanol,Methyl Ethyl Ketone (MEK),Methyl Isobutyl Ketone,Methyl n-Propyl Ketone,Methyl t-Butyl Ether,Mica - broken,Mica - flake,Mica - powder,Mica - solid,milk,Milk - powdered,Molybdenum,Molybdenum ore,Monel,Mortar - wet,Mud - fluid,Mud - packed,muscle,N -N-Dimethylformamide,Naphtha,Naphtha - wood,Napthalene,n-Butyl Acetate,n-Butyl Alcohol,n-Butyl Chloride,Neodymium,Nichrome,Nickel,Nickel - rolled,Nickel 20,Nickel 200,Nickel ore,Nickel silver,Nickel silver,Nickeline,Nimonic,Niobium,Nitric acid - 91%,Nitrogen,N-Methylpyrrolidone,n-Propyl Alcohol,Nylon,Oak,Oak - red,Oats,Oats - rolled,Ocimene,Octane,o-Dichlorobenzene,Oil - petroleum,Oil cake,olive oil,Olive oil,Osmium,Oxygen,Oxygen (liquid),Oyster shells - ground,Palladium,Palmitic Acid,Paper - standard,Peanuts - not shelled,Peanuts - shelled,Peat - dry,Peat - moist,Peat - wet,Pecan wood,Pentane,Pentane,Petroleum Ether,Phenol,Phosgene,Phosphate rock - broken,Phosphorus,Phytadiene,Pine ( Canadian ),Pine ( Oregon ),Pine ( Parana ),Pine ( Red ),Pinene,Pitch,Plaster,platinum,Platinum ore,Plutonium,Porcelain,Porphyry - broken,Porphyry - solid,Potash,Potassium chloride,Potatoes - white,Propane,Propane - R-290,Propanol,Propylene,Propylene Carbonate,Propylene glycol,Pumice - stone,Pyridine,Pyrite (fool's gold),Pyrrole,Quartz - lump,Quartz - solid,Quartz sand,Rape seed oil,Redwood ( American ),Redwood ( European ),Resin - synthetic - crushed,Resorcinol,Rice - hulled,Rice - rough,Rice grits,Rip-Rap,Rock - loose shovel,Rosin,Rosin oil,Rubber - caoutchouc,Rubber - ground scrap,Rubber - manufactured,Rye,Sabiname,Salt - course,Salt - fine,Salt cake,Saltpeter,Sand - dry,Sand - loose,Sand - rammed,Sand - water filled,Sand - wet,Sand - wet - packed,Sand with Gravel - dry,Sand with Gravel - wet,Sandstone - broken,Sandstone - solid,Sawdust,Sewage - sludge,Shale - broken,Shale - solid,Shells - oyster,Silane,Silk,Silver,Sinter,Slag - broken,Slag - crushed,Slag - furn. granulated,Slag - solid,Slate - broken,Slate - pulverized,Slate - solid,Snow - compacted,Snow - freshly fallen,snow (depth hoar),snow (firn granular),snow (glacier ice),snow (new damp),snow (settled),snow (very wet),snow (wind packed),Soap - chips,Soap - flakes,Soap - powdered,Soap - solid,Soapstone talc,Soda Ash - heavy,Soda Ash - light,Sodium,Sodium Aluminate - ground,Sodium Hydroxide ,Sodium Nitrate - ground,Solder 50/50 Pb Sn,Sorbaldehyde,Soy beans - whole,Soya bean oil,Spruce ( Canadian ),Spruce ( Sitka ),Starch - powdered,Stearic Acid,steel,steel - Stainlessÿ,Stone - crushed,Stone (common - generic),Styrene,Sugar - brown,Sugar - granulated,Sugar - powdered,Sugar - raw cane,Sugar solution 68 brix,Sugarbeet pulp - dry,Sugarbeet pulp - wet,Sugarcane,Sulphur - lump,Sulphur - pulverized,Sulphur - solid,Sulphuric Acid 95% conc.,sun,Sunflower oil ,Sycamore,Taconite,Talc - broken,Talc - solid,Tanbark - ground,Tankage,Tar,Teak,Terpinene,Tetrahydrofuran,Tin,Titanium,Tobacco,Toluene,Trap rock - broken,Trap rock - solid,Triethylamine,Trifluoroacetic Acid,Tungsten,Turf,Turpentine,Uranium,Vanadium,Walnut - black - dry,water,Water - sea,Whale oil ,Wheat,Wheat - cracked,White metal,Willow,Wood chips - dry,Wool,Zinc,zinc - ore (Hemimorphite),Zinc oxide,zince - ore (Smithsonite ),Zirconium

See Also