density mass volume calculator

Formula: ρ = m / V
Rearranged: m = ρ × V, V = m / ρ

What is density, mass, and volume?

Density, mass, and volume are tightly linked physical properties used in chemistry, physics, engineering, and everyday life. If you know any two of these values, you can always calculate the third using one simple equation.

  • Mass (m): how much matter an object contains.
  • Volume (V): how much space the object occupies.
  • Density (ρ): mass per unit volume.

The core formula

The density equation is:

ρ = m / V

From this, you can rearrange to solve for each variable:

  • Mass: m = ρ × V
  • Volume: V = m / ρ
  • Density: ρ = m / V

How to use this density mass volume calculator

Step-by-step

  • Select what you want to calculate: density, mass, or volume.
  • Enter the two known values.
  • Choose units for each field.
  • Click Calculate to get the result instantly.

The calculator handles unit conversion in the background, so you can mix units like grams + liters or pounds + cubic feet.

Supported units

Mass units

  • Kilograms (kg)
  • Grams (g)
  • Pounds (lb)

Volume units

  • Cubic meters (m³)
  • Liters (L)
  • Milliliters (mL)
  • Cubic centimeters (cm³)
  • Cubic feet (ft³)

Density units

  • kg/m³
  • g/cm³
  • g/mL
  • lb/ft³
  • kg/L

Worked examples

Example 1: Find density

An object has mass 500 g and volume 250 cm³.

Density = 500 / 250 = 2 g/cm³.

Example 2: Find mass

A liquid has density 0.8 g/mL and volume 750 mL.

Mass = 0.8 × 750 = 600 g.

Example 3: Find volume

A metal sample has mass 10 kg and density 5000 kg/m³.

Volume = 10 / 5000 = 0.002 m³ (2 L).

Why this matters in real life

Density calculations are used to identify unknown materials, estimate shipping and storage requirements, design tanks and piping, and perform lab quality control. Whether you are a student or working professional, getting quick and accurate density-mass-volume calculations saves time and reduces mistakes.

Common mistakes to avoid

  • Using inconsistent units (for example, grams with m³ without converting).
  • Forgetting that volume or density cannot be zero in division steps.
  • Rounding too early in multi-step calculations.

Quick FAQ

Is density always constant?

For a pure substance at fixed temperature and pressure, density is generally constant. It can change with temperature, pressure, or composition.

Are mL and cm³ the same?

Yes. 1 mL = 1 cm³.

Can I use this for liquids and solids?

Yes. The formula is universal as long as your units are consistent.

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