Density, mass and volume calculators
This page contains a calculator for working out density (in kg/m
3
, ρ), as well as calculators with the equation rearranged
to make mass (m) and volume (V) the subject. The formulas are shown together with other useful information and
examples to try. Note: ρ is the Greek character rho.
Both density (ρ) and volume (V) are derived units in the SI system. You can see how they are derived on this page,
together with other derivations.
Enter all figures without commas. For example, enter 2,400 as 2400.
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Calculate density (ρ) from volume (V) and mass (m)
The equation for density is given on the right.
Example: The density of water changes with temperature. Rounding
slightly, the density of water is 1 kg/m
3
at 4 degrees Celsius but
reduces to 997 kg/m
3
at 25 degrees Celsius.
What is the density of water if the mass is 3500 kg and volume is
3.507 m
3
? Using the calculator the answer is 998 kg/m
3
. This tells us
that the water’s temperature is between 4 and 25 degrees Celsius.
Calculate mass (m) from density (ρ) and volume (V)
The equation for mass is given above right.
Example: The density of aluminum is 2700 kg/m
3
. Is it safe to
transport an aluminum ingot with a volume of 1.6 m
3
in a trailer with a
weight limit of 4500 kg?
Using the calculator we see that the weight (mass) is 4320 kg, so yes
it’s within the weight limit of the trailer.
The equation for mass is:
Where:
m = mass (kilograms)
ρ
= density (kg/m
3
)
V = volume (m
3
)
Quick Facts
Gold has a density of 19,300 kg/m
3
That means it’s over 19 times as heavy
as water per unit volume.
Calculate volume (V) from mass (m) and density (ρ)
The equation for volume is given above right.
Example: The density of a particular syrup is 1370 kg/m
3
. A food
processing plant wants to store a mass of 2000 kg of the syrup. What
is the minimum size of container they need?
Using the calculator we can see that a container with a volume of
1.146 m
3
is required. That’s a lot of syrup.
The equation for volume is:
Where:
V = volume (m
3
)
m = mass (kilograms)
ρ
= density (kg/m
3
)
The equation for density is:
Where:
ρ
= density (kg/m
3
)
m = mass (kilograms)
V = volume (m
3
)
Density calculators
Density calculators
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Density, mass and volume calculators
This page contains a calculator for working out density (in
kg/m
3
, ρ), as well as calculators with the equation rearranged to
make mass (m) and volume (V) the subject. The formulas are
shown together with other useful information and examples to
try. Note: ρ is the Greek character rho.
Both density (ρ) and volume (V) are derived units in the SI
system. You can see how they are derived on this page,
together with other derivations.
Enter all figures without commas. For example, enter 2,400 as
2400.
Calculate density (ρ) from volume (V) and mass (m)
The equation for density is given on below.
Example: The density of water changes with temperature.
Rounding slightly, the density of water is 1 kg/m
3
at 4 degrees
Celsius but reduces to 997 kg/m
3
at 25 degrees Celsius.
What is the density of water if the mass is 3500 kg and volume
is 3.507 m
3
? Using the calculator the answer is 998 kg/m
3
. This
tells us that the water’s temperature is between 4 and 25
degrees Celsius.
The equation for density is:
Where:
ρ
= density (kg/m
3
)
m = mass (kilograms)
V = volume (m
3
)
Calculate mass (m) from density (ρ) and volume (V)
The equation for mass is given above right.
Example: The density of aluminum is 2700 kg/m
3
. Is it safe to
transport an aluminum ingot with a volume of 1.6 m
3
in a trailer
with a weight limit of 4500 kg?
Using the calculator we see that the weight (mass) is 4320 kg,
so yes it’s within the weight limit of the trailer.
Calculate volume (V) from mass (m) and density (ρ)
The equation for mass is:
Where:
m = mass (kilograms)
ρ
= density (kg/m
3
)
V = volume (m
3
)
The equation for volume is given below.
Example: The density of a particular syrup is 1370 kg/m
3
. A
food processing plant wants to store a mass of 2000 kg of the
syrup. What is the minimum size of container they need?
Using the calculator we can see that a container with a volume
of 1.146 m
3
is required. That’s a lot of syrup.
The equation for volume is:
Where:
V = volume (m
3
)
m = mass (kilograms)
ρ
= density (kg/m
3
)
