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Utilities

Density, Mass and Volume Calculator (ρ = m/V)

Solve for density, mass or volume from the other two, with 21 convertible units, relative density against water, air or your own reference, and a 16-substance catalog

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Quick guide

Understand the calculation

Solve for density, mass or volume with ρ = m/V and convert inputs and results across 21 units. The tool also calculates relative density against water, ISA air or a custom reference, and compares a calculated density with a catalog of 16 substances.

When to use this tool

Use it to determine a sample's density from its mass and volume; calculate the mass contained in a known volume of a reagent; find the volume occupied by a given mass; convert a tabulated density into the units required by another calculation; or make a preliminary comparison with reference substances. When density is already known, the catalog can load it together with its stated conditions.

How the formula is rearranged and what relative density means

The central relationship is ρ = m/V; rearranging it gives m = ρ·V and V = m/ρ. Every unit passes through an SI hub —kg, m³ and kg/m³—, so changing a selector re-expresses the number without changing the physical quantity. In particular, 1 g/cm³ = 1 g/mL = 1 kg/L = 1 t/m³ = 1000 kg/m³, and 1 g/L = 1 kg/m³. Relative density is the dimensionless ratio between the substance density and a reference: conventional water at 1000 kg/m³ and 4 °C, ISA air at 1.225 kg/m³ and 15 °C, or a custom value. The catalog states the conditions for each entry, and a hit is reported as “compatible with” within 2 % because density alone cannot identify a material.

Mass, volume and density must be greater than zero. Incomplete inputs leave the calculation pending; invalid, ambiguous or out-of-range values are rejected explicitly. The tool does not correct density for temperature or pressure, calculate mixtures or uncertainty propagation, or convert weight into mass. To interpret a ratio against air as vapour density, both densities must refer to the same temperature and pressure.

Examples
  • Density · 25 g occupy 10 cm³25 g / 10 cm³ = 2.5 g/cm³ = 2500 kg/m³
  • Mass · mercury at 13595 kg/m³ in 1 L13595 kg/m³ × 0.001 m³ = 13.595 kg
  • Volume · 1 kg of conventional water1 kg / 1000 kg/m³ = 0.001 m³ = 1 L
Frequently asked questions

Does relative density have units?

No. It is a ratio between two densities expressed in compatible units, so the units cancel.

Why does the number change when I choose another unit?

Because the selector re-expresses the same quantity. For example, 2.5 g/cm³ and 2500 kg/m³ represent exactly the same density.

Does a catalog match identify the material?

No. It only reports compatibility within 2 %. Different substances may have nearby densities, and temperature or composition can shift the value.