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Volume to mass calculator

Convert a measured volume to mass using a selected or custom density, or recover volume from a known mass.

Calculator

Density
1,000
Mass
1
Volume
0.001
Reference densities
Material and conditionsDensity (kg/m3)
Water near 4 C1,000.00000000
Aluminum, room temperature2,700.00000000
Copper, room temperature8,960.00000000
Gold, room temperature19,300.00000000
Iron, room temperature7,870.00000000
Lead, room temperature11,300.00000000
Silver, room temperature10,490.00000000
Air at 0 C, sea level1.29000000
Ethanol at 0 C806.00000000

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How this calculator works

Choose a density that describes the actual substance, then enter its volume to calculate mass. Inverse volume mode divides known mass by density. The rectangular option measures a solid block from three dimensions. This is useful for liquids, metal stock and ingredient conversions, but a volume measure alone cannot identify mass. A cup of loose flour and a cup of water have very different masses. For food, powders, foams and alloys, use a measured or product-specific density that matches packing, temperature and composition. The reference table gives a few rounded examples rather than a universal ingredient database.

Formula

rho = m/V; m = rho V; V = m/rho; rectangular solid V = length x width x height.

Worked example

At a measured density of 800 kg/m3, 250 mL has mass 0.2 kg, or 200 g. Conversely, 600 g of the same substance occupies 750 mL. Check whether your volume measure is a US cup, legal cup or a metric millilitre measurement before converting a recipe.

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Frequently asked questions

Why does the substance matter?

Mass equals volume times density. Equal volumes of different substances can contain different amounts of matter.

Can I convert cups to grams?

Yes, if the selected volume unit and density describe your ingredient. Packing can change food bulk density substantially.

Can I use an unpacked ingredient density for a packed cup?

Use a bulk density measured with a similar packing method. Compression changes the amount of material in a fixed cup volume.

Sources

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