Materials & Civil
Basic

Density

Mass per unit volume of a material.

Formula

ρ=mV\rho = \frac{m}{V}

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Variables

mMass
VVolume

Example

Water: 1000 kg/m³

How it works

Density tells you how tightly matter is packed into a given space. It is found by dividing an object’s mass by the volume it occupies, so a heavy object is not necessarily dense if it also takes up a lot of space. This relationship works because the same mass spread over a larger volume gives a lower density, while the same volume containing more mass gives a higher density.

When to use it

Use this formula when comparing materials, identifying unknown substances, or checking whether something will float or sink. It is common in materials science, construction, geology, and everyday physics problems involving mass and volume.

Worked example, step by step

A metal block has a mass of 540 g and a volume of 200 cm³. Use the density formula: ρ = m / V Substitute the values: ρ = 540 g / 200 cm³ Calculate: ρ = 2.7 g/cm³ Final answer: the density of the block is 2.7 g/cm³

Common mistakes to avoid

  • Using mass and volume in different units without converting them first
  • Dividing volume by mass instead of mass by volume
  • Forgetting that density depends on the amount of space an object occupies

Did You Know?

Density determines whether an object floats.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026