Density Mass Volume Calculator

Created by Steven Wooding
Reviewed by Aleksandra Zając, MD
Last updated: Apr 06, 2022

With this density mass volume calculator, you are free to enter any two of these values, and the calculator will instantly calculate the third value. This short article covers:

  • How to calculate volume with density and mass and other combinations.
  • How to use this density mass volume calculator.
  • What is the density of a cork, and how to calculate it.

Density mass and volume equations

The density of an object is defined as the mass per unit volume and is mathematically expressed as:

ρ=mV\rho = \frac{m}{V}

where:

  • ρ\rho – Density of the substance;
  • mm – Mass (or weight, if measured on Earth); and
  • VV – Volume.

We can then rearrange this equation to express the mass in terms of density and volume:

m=ρVm = \rho V

Finally, by rearranging the equation one final time, we can calculate the volume of an object if the mass and density are known:

V=mρV = \frac{m}{\rho}

This density mass volume calculator contains all three of these equations, making it very flexible to your needs.

How to use this density mass volume calculator

It couldn't be easier to use this calculator. All you have to do is enter any two values to calculate the third value. Let's go through an example just to make sure it's clear in your mind.

  1. You know the density of the object is 10490 kg/m3, so enter this value in the density field of the calculator. Make sure you select the appropriate unit for each variable before entering the value.
  2. The mass of the object is 6 kg, so go ahead and enter this value into the second row of the calculator.
  3. Oh, look! You've got your answer. Change the volume units to cm3, and the value for the volume is 572 cm3.

Omni has a wide range of density calculators, if you would like to explore this topic further:

FAQ

How do I calculate volume with density and mass?

To calculate the volume of an object if you know its density and mass:

  1. Weigh the mass of the object.
  2. Lookup the density of the material the object is made from.
  3. Divide the mass by the density.
  4. Enjoy your result for the volume of the object.

Mathematically, volume is given by the equation: volume = mass / density.

What is the density of a cork?

240 kg/m3 or 14.98 lb/ft3. The volume of a champagne cork is around 37.5 cm3 and its weight is 9 grams. To calculate the density, divide the weight by the volume: 9 g / 37.5 cm3 = 0.24 g/cm3 = 240 kg/m3.

Steven Wooding
Density
lb/cu ft
Mass
lb
Volume
cu ft
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