Calculate mass, density, or volume from the other two known values using the relationship mass = density × volume, with multi-unit support.
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Mass
1,000 kg
Mass (kg)
1,000
Density (kg/m³)
1,000
Volume (m³)
1
Also in Physics
Science — Physics
Mass, density, and volume are the three quantities in the fundamental relationship ρ = m/V. Rearranged, you can solve for any one of the three when the other two are known: m = ρV for mass, or V = m/ρ for volume. This calculator handles all three modes with full unit support.
Mass (m) is the amount of matter in an object, measured in kilograms. Density (ρ) is mass per unit volume, commonly in kg/m³ or g/cm³. Volume (V) is the space the object occupies. The three are related by m = ρV. Water at 4 °C has a density of 1000 kg/m³, which means one litre weighs exactly one kilogram — a useful anchor for real-world estimates.
A steel ball with density 7850 kg/m³ and volume 500 cm³ (0.0005 m³) has a mass of 3.925 kg. Switching to g/cm³ for density and cm³ for volume gives the same result: 7.85 g/cm³ × 500 cm³ = 3925 g = 3.925 kg. The calculator converts all inputs to SI before computing, then converts the result back to your chosen output unit.
Frequently asked questions
Mass is the amount of matter in an object and is constant regardless of location. Weight is the gravitational force acting on that mass (W = mg) and varies with gravitational acceleration — you weigh less on the Moon, but your mass is unchanged.
Use the effective density: total mass divided by total volume. For a hollow object, use the total external volume including any air spaces, which gives the apparent density used in buoyancy calculations.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
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Calculate buoyant force on a submerged object from fluid density and displaced volume using Archimedes' principle F_b = ρgV, with float/sink determination.
Calculate kinetic energy, mass, or velocity from the other two using KE = ½mv², with energy unit conversions and equivalent drop-height context.
