How to calculate density from mass and volume
Density tells you how much mass is packed into a unit of volume. Two blocks can have the same size but different masses because their densities differ.
What the formula is saying
Divide mass m by volume V. This answers “how many kilograms would one cubic metre of this material contain?” for the measured sample.
Read the symbols in plain language
- m
- Masskg
- V
- Volumem³
Sort out the units first
Use kg and m³ for kg/m³. The example uses 240 kg in 0.1 m³. Remember that 1 litre = 0.001 m³.
Let’s solve one together
Read the given values, follow each operation, then check what the result means.
- m · Mass
- 240 kg
- V · Volume
- 0.1 m³
Identify the sample mass
Subtract the container mass when it is part of a measurement.
(240) = 240 kgDivide by the occupied volume
Smaller volume with the same mass means larger density.
(240) ÷ (0.1) = 2400 kg/m³
Does this worked answer make sense?
Multiply density by volume: 2,400 × 0.1 = 240 kg, recovering the input mass.
Now try your own values
Change a value or its unit. The same method will show your calculation, step by step.
Results update only when you calculate. The lesson example above stays unchanged.
Your turn — check your understanding
Use these new values. Work it out first, then check your answer.
- m · Mass
- 150 kg
- V · Volume
- 0.06 m³
Find: density from mass and volume
A hint, not the answer
Divide mass m by volume V. This answers “how many kilograms would one cubic metre of this material contain?” for the measured sample.
Use kg and m³ for kg/m³. The example uses 240 kg in 0.1 m³. Remember that 1 litre = 0.001 m³.
Show the full practice solution
Compare the steps with your work; revealing a solution does not mark the lesson complete.
Identify the sample mass
Subtract the container mass when it is part of a measurement.
(150) = 150 kgDivide by the occupied volume
Smaller volume with the same mass means larger density.
(150) ÷ (0.06) = 2500 kg/m³
Avoid the common trap
Density is mass per volume, not weight per volume. Do not insert cm³ as m³; the volume conversion is cubed.
When this method applies — and when it does not
Average density for a sample with positive measured volume. The example value is not a prescribed density for all concrete or other materials.
For study and understanding, not approval of a real structure, site operation or design. Apply the correct standard, National Annex and professional review to actual engineering work.
One idea understood. Keep going.
This optional checkmark is saved only in this browser. It is your own progress note, not a certificate.
Sources & further reading
References open in a new tab and explain the underlying principles. The teaching text and examples here are SimpleFlick’s own; the source organisations have not endorsed this calculator.
Lesson updated: · Worked examples checked against the implemented formula; not an independent engineering certification.