Result
Result reflects the current submitted inputs.
- Risk A
- Reviewed 2026-05-26
- 2 sources
- Density means mass density for a uniform substance or object.
- Known values are converted to kilograms, cubic meters, and kilograms per cubic meter before calculation.
- The calculator does not adjust for temperature, pressure, mixtures, porosity, or measurement uncertainty.
- Intermediate values are not rounded; raw outputs are rounded to 10 decimal places for stability.
Accuracy notes
- Risk level
- A
- Reviewed
- 2026-05-26
- Sources
- 2
- Primary result
- Mass
Formula logic is kept in a pure calculator module with fixtures, source notes, and page-visible assumptions.
What the result means
Density tells you how heavy a material is for its size. A high density means a lot of mass in a small volume (like metals), while a low density means light for its size (like foam or wood). Comparing an object's density to water (1 g/cm^3) predicts whether it floats or sinks.
Use the result this way
- Start with Mass, then use supporting outputs for context.
- Verify Solve for, Mass, and Mass unit before copying the result.
- Check the formula, example, and assumptions before reusing the answer.
User job
How to use this calculator
Use Density Calculator when you need mass, then use volume and density to check the context for unit checks, engineering notes, recipes, travel, shopping, and measurement cleanup.
Best for
- Converting compatible units
- Auditing the factor used for a repeated conversion
- Reviewing a default example before entering your own solve for and mass.
Check before relying
- Make sure the source and target units measure the same kind of quantity.
- Density means mass density for a uniform substance or object.
- Known values are converted to kilograms, cubic meters, and kilograms per cubic meter before calculation.
- Source context: OpenStax University Physics, reviewed 2026-06-16.
Next useful step
- Mass CalculatorUse next when your task shifts from Density Calculator to Mass Calculator.
- Volume CalculatorUse next when your task shifts from Density Calculator to Volume Calculator.
- Unit Conversion CalculatorUse next when your task shifts from Density Calculator to Unit Conversion Calculator.
Formula
Density = mass / volume, written rho = m / V. To find mass, rearrange to mass = density x volume; to find volume, use volume = mass / density. Density is commonly measured in kilograms per cubic meter (kg/m^3) or grams per cubic centimeter (g/cm^3), where 1 g/cm^3 = 1000 kg/m^3.
- Density = mass / volume. Rearrange to mass = density x volume or volume = mass / density depending on what you need.
- Common units: g/cm^3 and kg/m^3, with 1 g/cm^3 = 1000 kg/m^3. Water is 1 g/cm^3 (1000 kg/m^3) at about 4 degrees C, the standard reference point.
- Approximate densities (g/cm^3): air 0.0012, wood 0.5 to 0.9, water 1.0, aluminum 2.7, iron 7.9, lead 11.3, gold 19.3.
- An object floats if its average density is less than the fluid it sits in, and sinks if it is greater. This is the basis of specific gravity, which compares a substance's density to water.
- Density changes with temperature and pressure, especially for gases. Most substances expand and become slightly less dense when heated.
Inputs
Enter any two of the three quantities: mass, volume, and density. The calculator solves for the third. Keep units consistent: if mass is in grams and volume in cubic centimeters, density comes out in g/cm^3. Water is a handy reference at 1 g/cm^3, so anything denser than 1 g/cm^3 sinks in water and anything less dense floats.
Example
A metal block with a mass of 200 grams and a volume of 25 cubic centimeters has a density of 200 / 25 = 8 g/cm^3, close to iron. A 2-liter bottle (2000 cm^3) of water has a mass of 2000 x 1 = 2000 grams, or 2 kg, since water's density is 1 g/cm^3.
FAQ
How do you calculate density?
Divide mass by volume: density = mass / volume. A 200-gram object that takes up 25 cubic centimeters has a density of 200 / 25 = 8 g/cm^3. Keep units consistent so the result is meaningful.
What is the formula for density?
The density formula is rho = m / V, where m is mass and V is volume. You can rearrange it to mass = density x volume, or volume = mass / density.
What is the density of water?
Water has a density of 1 gram per cubic centimeter (1 g/cm^3), which equals 1000 kg/m^3, measured at about 4 degrees C. It is the standard reference for comparing other materials and for specific gravity.
Why do some objects float and others sink?
An object floats if its average density is less than the liquid around it, and sinks if it is denser. A cork floats on water because it is less dense than 1 g/cm^3, while a steel bolt sinks because it is far denser.
What units is density measured in?
Density is usually measured in grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3), where 1 g/cm^3 equals 1000 kg/m^3. Gas densities are often given in g/L.
How do you find mass from density and volume?
Multiply density by volume: mass = density x volume. A 50 cm^3 piece of aluminum (2.7 g/cm^3) has a mass of 2.7 x 50 = 135 grams.
Sources
Last reviewed: 2026-05-26
- academicReviewed 2026-06-16University Physics Volume 1, 14.1: Fluids, Density, and PressureOpenStax University Physics. Definition of density as mass per unit volume, units, and the relationship to buoyancy and specific gravity.
- officialReviewed 2026-06-16Special Publication 811: SI units for mass, volume, and densityNational Institute of Standards and Technology. Unit definitions and conversions for mass, volume, and density.
Disclaimer
Material densities are approximate and vary with temperature, pressure, purity, and form. For engineering or scientific work, use measured values for your specific material and conditions.