ρ = m ÷ V

Density calculator

Give two of mass, volume or density and the third is computed, with the answer also expressed in g/cm³ and lb/ft³.

Short answer: 10 kg in 0.5 m³ is 20 kg/m³ — 0.02 g/cm³, which is lighter than cork. Conversely 1,000 kg/m³ (water) over 0.002 m³ gives a mass of 2 kg.

Reading the three-unit answer

kg/m³ is the SI form, g/cm³ is the chemistry form (and is numerically equal to grams per millilitre), and lb/ft³ is the engineering form. All three describe the same material; the numbers look wildly different only because the units are.

Worked example

A steel block measures 0.1 m × 0.1 m × 0.1 m, so its volume is 0.001 m³. At 7,850 kg/m³ its mass is 7.85 kg. The same block in aluminium at 2,700 kg/m³ weighs 2.7 kg — the comparison the density figure exists to make.

Density questions

What is the density formula?

ρ = m ÷ V — mass divided by volume. Water is 1,000 kg/m³, so a cubic metre of it weighs a tonne; steel is about 7,850 kg/m³, which is why the same volume feels very different.

Which units does the calculator use?

Kilograms and cubic metres, with the answer also shown in grams per cubic centimetre (÷1000) and pounds per cubic foot (×0.0624). Mixing grams with cubic metres is the commonest error, so the page states its units next to every field.

Why can volume not be zero?

Density is mass divided by volume, so a zero volume has no answer — the material would be infinitely dense. The page refuses it rather than returning Infinity.

How does temperature affect density?

Most substances expand when heated, so density falls. Water is the famous exception between 0 °C and 4 °C. This page computes from the numbers you enter and does not model that expansion.

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