Mass & Density to Volume Calculator

Calculating density

The density of a material is scientifically defined as its mass per volume. It can also be thought of as how compacted or compressed a
substance is. When calculating a density from a mass and volume figure, it’s important to remember that density can be affected by pressure and
temperature, particularly where gases are concerned.

The density calculator uses the density formula: Density = Mass ÷ Volume.
To calculate density, you divide the mass by the volume. If you enter your two figures for mass and volume into the calculator, it will return the density.

To calculate mass, simply rearrange the structure of the overall density formula. Multiply your density figure by your volume
figure: m = ρ x V

It’s a common request that people want to know how they can convert a volume to a weight, hoping it’s a simple one-to-one conversion. And it’s for that reason
that I built my weight to volume converter and cooking calculator
tools. So, please do make use of those tools if you need to.

To calculate volume, rearrange the structure of the density formula in order to divide your mass figure by your density figure : V = m / ρ

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Mass, Density {amp} Volume Calculator

An object’s density is represented by a ratio of its mass to volume. The units, used for measurements are, therefore, mass per unit volume.

Mass, if we look from a physicist’s perspective, can be defined as a measure of the quantity that is inside a body, excluding such factors as the volume of an object or any forces that might be acting on the object.

Volume represents the amount of space that is occupied by an object in three dimensions.

How to use:  Enter any two known values to calculate the third one.

Calculator Use

Choose a calculation for density p, mass m or Volume V.  Enter the other two values and the calculator will solve for the third in the selected units. You can also enter scientific notation such as 3.45e22.

Density of Common Materials

Unit kg/m3
kilogram/cubic meter SI Unit
kilogram/cubic centimeter 1,000,000
gram/cubic meter [g/m3] 0.001
gram/cubic centimeter 1000
kilogram/liter [kg/L] 1000
gram/liter [g/L] 1
pound/cubic inch [lb/in3] 27,680
pound/cubic foot [lb/ft3] 16.02
pound/cubic yard [lb/yd3] 0.5933
pound/gallon (US) 119.83
pound/gallon (UK) 99.78
ounce/cubic inch [oz/in3] 1,730
ounce/cubic foot [oz/ft3] 1.001
ounce/gallon (US) 7.489
ounce/gallon (UK) 6.236
ton (short)/cubic yard 1,186.6
ton (long)/cubic yard 1,328.9
psi/1000 feet 2.3067
Material Density in kg/m3
Earth’s atmosphere at sea level 1.2
Water at standard temperature and pressure 1,000
The Earth 5,515.3
Iron 7,874
Copper 8,950
Tungsten 19,250
Gold 19,300
Platinum 21,450
Atomic nuclei 2.3×1017
Black hole above 1×1018


so click on that button.
Enter 1 in the «volume» box and choose cubic feet from its menu.
Enter 19.3 in the «density» box and choose H2O Density from its menu.
Click the CALCULATE button and you will see this weighs 1,204.85 pounds. PLUS you get to
see the answer in 8 other different units !!

3) You are measuring 15 cubic centimeters of a liquid that has a mass of
17 grams. What is its density?

Enter 15 in the volume box and choose cubic centimeters from its menu.
Enter 17 in the mass box and choose grams from its menu.
Click CALCULATE and your answer is 1.133 that of H2O Density (as well as 8 other units).

***** Weight of Water Calculator *****
4) What is the weight of 3.5 gallons of water?

The density input box automatically gets filled in with the value of 1 and so you only have to enter one number.
Enter 3.5 in the volume input box then select «Gallons» from its menu.
Click «CALCULATE» and you will see that 3.5 gallons of water weighs 29.029 pounds (as well as 8 other units).

Here’s hoping this calculator helps you with those math problems.

For easy readability, the answers are displayed in a «significant figure» format so you will
not see answers such as 77.3333333333333333.
Numbers larger
than 1,000 will be displayed in scientific notation and with the same number of
significant figures specified. You may change the significant figures displayed by
changing the number in the box above.
Internet Explorer and most other browsers, will display the answers properly but
there are a few browsers that will show no output whatsoever. If so, enter a zero
in the box above. This eliminates all formatting but it is better than seeing no
output at all.

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Density Calculations

Solving for density, mass or volume we can use the following formulas:

Calculate p Given m and V
Calculate density given mass and volume.

( p = dfrac{m}{V} )

Calculate m Given p and V
Calculate mass given density and volume.

( m = pV )

Calculate V Given p and m
Calculate volume given density and mass.

( V = dfrac{m}{p} )

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