Density
Mass per unit volume of a material.
Formula
Live Calculator
MembersVariables
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.
Share this formula
More in Materials & Civil
View allStress
BasicInternal force per unit cross-sectional area.
Strain
BasicFractional deformation under load.
Young Modulus
IntermediateRatio of stress to strain; measures material stiffness.
Factor of Safety
IntermediateRatio of a material strength to the actual applied stress.
Cantilever Beam Deflection
AdvancedMaximum deflection of a cantilever with an end load.
Rectangular Area Moment of Inertia
AdvancedSecond moment of area for a rectangular cross-section.