Quick answer: Density is mass divided by volume (ρ = m/V), in kg/m³ or g/cm³. This calculator solves for density, mass, or volume with material presets from air to gold, and shows whether objects float or sink.
Last reviewed: September 2026
Key facts
- Density = mass ÷ volume (ρ = m/V).
- 1 g/cm³ = 1,000 kg/m³ exactly.
- Objects float when less dense than the fluid.
- Density changes with temperature.
Free density calculator: solve ρ=m/V for density, mass, or volume with material presets.
How to use
- Choose density, mass, or volume.
- Pick a material preset or enter custom.
- Enter values with correct units.
- See float-or-sink result.
Formula
ρ = m ÷ V
Worked examples
200g, 250cm³: ρ = 200/250 = 0.8 g/cm³ = 800 kg/m³. Floats.
2L water: m = 1 × 2000 = 2 kg.
500g gold: V = 500/19.3 = 25.9 cm³.
Frequently asked questions
Density vs weight?
Density is mass/volume (intrinsic). Weight is gravity force, changes with location.
Why does ice float?
Ice (917 kg/m³) is less dense than water (1000 kg/m³).
Does density change with temperature?
Yes. Heating expands material, lowering density.
Measure irregular volume?
Water displacement: submerge and measure rise.
g/cm³ vs kg/m³?
1 g/cm³ = 1000 kg/m³ exactly.
Why does steel ship float?
Average density (ship+air) is below water's.
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