Convert weight to volume or volume to weight for common materials using density, with results in liters, gallons, cups, cubic feet, and fluid ounces.

Result unit and force input

Calculator Functions

FunctionWhat it doesWhat it requires
Volume from weightConverts a weight to the volume it takes upRequires the weight and a substance from the list, or a custom density
Weight from volumeConverts a volume to its weightRequires the volume and a substance from the list, or a custom density
Density from weight and volumeFinds the density of a sampleRequires the weight and the volume of the same sample

Weight is entered as a mass in g, kg, mg, oz, lb, US tons or metric tons. Volume is entered in mL, L, US teaspoons, tablespoons, fluid ounces, cups, pints, quarts or gallons, or in in³, ft³ or m³. A custom density can be given in g/mL, kg/m³, lb/ft³ or lb/US gal. Optional settings choose the result unit and switch the weight entry to a gravitational force in N, kN or lbf.

Weight to Volume Formulas

V = m ÷ ρ
VVolume (mL)
mMass (g)
ρDensity of the substance (g/mL)

Volume from weight

The mass is divided by the density. 500 g of water at 0.998 g/mL takes up 501 mL, while 250 g of all-purpose flour at 0.53 g/mL takes up about 472 mL, close to 2 US cups.

Weight from volume

m = V × ρ

The volume is multiplied by the density. One US gallon of water is 3,785.41 mL × 0.998 g/mL = 3,777.84 g, or 8.33 lb.

Density from weight and volume

ρ = m ÷ V

A sample of 100 g that fills 50 mL has a density of 2 g/mL. The result is also shown in kg/m³, lb/ft³ and lb/US gal.

Typical densities in the substance list

Substanceg/mLlb/US galkg/m³
Water0.9988.33998
Seawater1.0258.551,025
Milk1.0358.641,035
Vegetable oil0.927.68920
Honey1.4211.851,420
All-purpose flour (bulk)0.534.42530
Granulated sugar (bulk)0.857.09850
Butter0.9117.60911
Table salt (bulk)1.2210.181,220
Ethanol0.7896.58789
Gasoline0.746.18740
Diesel0.857.09850
Ice0.9177.65917
Dry sand (bulk)1.613.351,600
Gravel (bulk)1.6814.021,680
Concrete2.420.032,400
Aluminum2.722.532,700
Steel7.8565.517,850
Gold19.32161.2319,320

Water at 0.998 g/mL is its density at about 21 °C (70 °F) [1]. Flour, sugar, salt, sand and gravel are bulk densities, which include the air between the grains.

Weight entered as a force

m = W ÷ g

A weight in newtons is a force, so it is first converted to a mass in kg by dividing by gravity [3]. The calculator uses standard gravity, 9.80665 m/s² [2], with 9.81 m/s² or a custom value as alternatives. A force of 50 N is a mass of 5.099 kg. A weight entered in grams or pounds is already a mass and is not divided by gravity.

How to Convert Weight to Volume

Find the density of the substance, put the weight and the density in matching units, and divide the weight by the density. For the reverse, multiply the volume by the density. Weight and volume only convert through density, which is why 1 kg of honey fills about 0.7 L and 1 kg of flour fills about 1.9 L.

Limits of This Estimate

  • The densities in the list are typical values, not measurements of a particular sample. Temperature, moisture, composition and how tightly a powder or aggregate is packed all change the real figure. These estimates are based on the best available data and estimations.
  • A measured density, entered as Custom measured density, gives a better answer than a list value. Water, for example, ranges from 0.99987 g/mL at 0 °C to 0.95865 g/mL at 100 °C [1].
  • Ounces (oz) are a mass and fluid ounces (fl oz) are a volume. Cups, spoons, pints, quarts and gallons are US measures.

Sources

  1. U.S. Geological Survey, Water Science School, Water Density: density of water by temperature
  2. NIST, Guide for the Use of the International System of Units (SP 811), Appendix B.8: standard gravity and the factors for US volume and mass units
  3. NIST, Guide for the Use of the International System of Units (SP 811), Section 8.3: weight as a force and weight as an everyday word for mass