Mass is found by multiplying density by volume: mass=density×volume\text{mass}=\text{density}\times \text{volume}mass=density×volume.

How to Find Mass with Density and Volume

The core formula

Density tells you how much mass is packed into each unit of volume (for example, kilograms per cubic meter or grams per cubic centimeter).

If you know density and volume, you can rearrange the density formula ρ=mV\rho =\frac{m}{V}ρ=Vm​ into:

m=ρ×Vm=\rho \times Vm=ρ×V

Where:

  • mmm = mass
  • ρ\rho ρ (rho) = density
  • VVV = volume

Step‑by‑step method

  1. Write the formula
    • Use m=ρ×Vm=\rho \times Vm=ρ×V.
  1. Check units
    • Make sure density and volume use matching units (for example, g/cm³ with cm³, or kg/m³ with m³).
 * If they don’t match, convert one so they do (like converting m³ to cm³ or grams to kilograms).
  1. Substitute the values
    • Put your density number where ρ\rho ρ is and your volume number where VVV is.
  2. Multiply
    • Multiply density by volume to get mass.
  3. Add units to your answer
    • If density was in g/cm³ and volume in cm³, mass will be in grams.
    • If density was in kg/m³ and volume in m³, mass will be in kilograms.

Quick examples

  • Example 1:
    • Density = 5 g/cm³
    • Volume = 300 cm³
    • Mass = 5×300=15005\times 300=15005×300=1500 g
  • Example 2:
    • Density = 7500 kg/m³
    • Volume = 4 m³
    • Mass = 7500×4=300007500\times 4=300007500×4=30000 kg, which is 30 tonnes (because 1000 kg = 1 tonne).

One‑line shortcut to remember

If you want mass , just multiply density by volume :
mass = density × volume.

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