Convert weight to volume or volume to weight for common materials using density, with results in liters, gallons, cups, cubic feet, and fluid ounces.
Calculator Functions
| Function | What it does | What it requires |
|---|---|---|
| Volume from weight | Converts a weight to the volume it takes up | Requires the weight and a substance from the list, or a custom density |
| Weight from volume | Converts a volume to its weight | Requires the volume and a substance from the list, or a custom density |
| Density from weight and volume | Finds the density of a sample | Requires 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 | Volume (mL) |
| m | Mass (g) |
| ρ | Density 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
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
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
| Substance | g/mL | lb/US gal | kg/m³ |
|---|---|---|---|
| Water | 0.998 | 8.33 | 998 |
| Seawater | 1.025 | 8.55 | 1,025 |
| Milk | 1.035 | 8.64 | 1,035 |
| Vegetable oil | 0.92 | 7.68 | 920 |
| Honey | 1.42 | 11.85 | 1,420 |
| All-purpose flour (bulk) | 0.53 | 4.42 | 530 |
| Granulated sugar (bulk) | 0.85 | 7.09 | 850 |
| Butter | 0.911 | 7.60 | 911 |
| Table salt (bulk) | 1.22 | 10.18 | 1,220 |
| Ethanol | 0.789 | 6.58 | 789 |
| Gasoline | 0.74 | 6.18 | 740 |
| Diesel | 0.85 | 7.09 | 850 |
| Ice | 0.917 | 7.65 | 917 |
| Dry sand (bulk) | 1.6 | 13.35 | 1,600 |
| Gravel (bulk) | 1.68 | 14.02 | 1,680 |
| Concrete | 2.4 | 20.03 | 2,400 |
| Aluminum | 2.7 | 22.53 | 2,700 |
| Steel | 7.85 | 65.51 | 7,850 |
| Gold | 19.32 | 161.23 | 19,320 |
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
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
- U.S. Geological Survey, Water Science School, Water Density: density of water by temperature
- 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
- 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
