Density Calculator

Find density, mass or volume from the other two, and see whether the object would float in water.

How to use the Density Calculator

  1. Choose the solve for.
  2. Enter the mass and pick its unit.
  3. Enter the volume and pick its unit.
  4. Enter the density and pick its unit.
  5. Press Calculate. The result updates automatically as you type, and you can switch the result unit at any time.

About the Density Calculator

Density describes how tightly matter is packed: how much mass fits in a given volume. It is a property of the material, not the size of the object, which makes it useful for identifying substances, checking purity, and converting between weight and volume. Water is about 1 g/cm³, aluminum 2.70, steel about 7.85, lead 11.34 and gold 19.3.

To measure the density of an irregular object, weigh it, then lower it into a measuring cylinder of water and read the rise in water level as its volume (Archimedes' method). Specific gravity is the density divided by water's density at about 20 °C; values above 1 sink in fresh water and values below 1 float. Density of liquids and gases changes with temperature, so note the conditions when precision matters.

Formula

ρ = m ÷ V    m = ρ × V    V = m ÷ ρ

ρ (rho) is density, m is mass and V is volume. 1 g/cm³ = 1 g/mL = 1,000 kg/m³ = 62.43 lb/ft³. Example: 500 g occupying 250 cm³ has a density of 500 ÷ 250 = 2 g/cm³.

Example calculation

Using the default values:

  • Solve for = Density
  • Mass = 500 g
  • Volume = 250 cm³

the calculator returns:

  • Density: 2 g/cm³
  • Specific gravity (vs. water): 2.0036
  • In fresh water it would: Sink

Frequently asked questions

What is the formula for density?

Density equals mass divided by volume: ρ = m ÷ V. A 54 g block with a volume of 20 cm³ has a density of 2.7 g/cm³, the same as aluminum.

How do I find mass from density and volume?

Multiply density by volume. One liter (1,000 cm³) of olive oil at 0.92 g/cm³ has a mass of 920 g.

Why does ice float on water?

Ice has a density of about 0.917 g/cm³, lower than liquid water, because water molecules lock into an open crystal structure when they freeze.

Last updated: · Category: Science calculators