What is the formula for density?

Density (ρ) equals mass (m) divided by volume (V): ρ = m / V. Enter any two of density, mass, or volume to solve for the third.

How do you calculate buoyant force?

Buoyant force follows Archimedes’ principle: F_b = ρ_fluid × V × g, where ρ_fluid is the fluid density, V is the submerged volume, and g is gravitational acceleration (9.80665 m/s²).

How do I know if an object will float or sink?

An object sinks if its density is greater than the fluid’s density, and floats if its density is less than or equal to the fluid’s density.

Density and Buoyancy Calculator

Solve density from mass and volume, and calculate buoyant force with float/sink determination.

Density & Buoyancy Calculator

Solve density from mass and volume, and calculate buoyant force with float/sink determination.

Density (ρ = m / V)

Fill any two fields to solve for the third.

Density ρ (kg/m³)

Mass m (kg)

Volume V (m³)

Density Results

Density (ρ): 2,000 kg/m³

Mass (m): 10 kg

Volume (V): 0.005 m³

Buoyancy (F_b = ρ_fluid · V · g)

Calculate the buoyant force and determine if an object floats or sinks.

Fluid Density (kg/m³)

Submerged Volume (m³)

Object Density (kg/m³)

Buoyancy Results

Buoyant Force: 49.03325 N

F_b = ρ_fluid × V × g = 1000 × 0.005 × 9.80665

Object floats (ρ_object ≤ ρ_fluid)

Density and Buoyancy Calculator

This free calculator solves for density, mass, or volume given the other two values, and calculates buoyant force using Archimedes’ principle to determine whether an object floats or sinks. No sign-up required.

Density: solve for ρ, m, or V given any two
Buoyant force: F_b = ρ_fluid × V × g
Float or sink determination
Common fluid density presets (water, seawater, mercury)
Copy and reset

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Added Aug 12, 2026

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