Density, Mass & Volume Calculator

Calculate material density, mass, or volume instantly using ρ = m/V. Includes specific gravity, water buoyancy analysis, multi-unit conversions, and a comprehensive material library.

Solve Parameter

Live calculation
Quick Sample Presets
grams (g)
cm³ or mL
Calculated Density
2.5000 g/cm³via ρ = m / V
Water FlotationSinks in Water

SI Density

2,500 kg/m³

Specific Gravity

2.500

US Customary

156.07 lb/ft³

Mass (kg)

0.0500 kg

Specific Gravity Spectrum Relative to Water (1.00)

0.0 (Gas / Foam)1.0 (Water Standard)20.0+ (Gold / Platinum)

A volume of 20.00 cm³ contains 50.00 grams of mass.

With a specific gravity of 2.500, this material is 2.50× denser than water and will sink.

The Fundamental Physics of Density (ρ = m / V)

Density is an intensive physical property of matter that describes the concentration of mass within a defined geometric boundary. Formally expressed as the quotient of mass (m) and volume (V), density remains constant for a homogeneous substance regardless of the sample's physical dimensions. The fundamental governing equation is ρ = m ÷ V.

Density, Mass & Volume Mathematical Relationships
1. Solve Density (ρ)
ρ =
m (mass)V (volume)

g/cm³ = grams ÷ cm³

2. Solve Mass (m)
m = ρ × V

grams = density × volume

3. Solve Volume (V)
V =
m (mass)ρ (density)

cm³ = grams ÷ density

Specific Gravity & Buoyancy Condition
SG = ρsubstance ÷ ρwater @ 4°C|If SG < 1.0 → Object Floats|If SG > 1.0 → Object Sinks
Step-by-Step Calculation Breakdown
Example 1: Identifying an Unknown Mineral (50g Mass, 20 cm³ Displacement)
1. Recorded parameters: Mass m = 50.00 g, Volume V = 20.00 cm³
2. Calculate density: ρ = 50.00 g ÷ 20.00 cm³ = 2.500 g/cm³
3. SI conversion: 2.500 × 1,000 = 2,500 kg/m³
4. Buoyancy evaluation: Specific Gravity = 2.500 > 1.0 → Sinks in water
Example 2: Mass of an Aluminum Ingot (Density 2.70 g/cm³, 500 cm³ Volume)
1. Parameters: Density ρ = 2.70 g/cm³, Volume V = 500.00 cm³
2. Calculate mass: m = 2.70 g/cm³ × 500.00 cm³ = 1,350.00 g (1.35 kg)

Standard Material Densities & Specific Gravities Reference Table

Material NameDensity (g/cm³)Density (kg/m³)Water BuoyancyPractical Application / Note
Pure Water (4°C)1.0001,000Neutral (Standard)Universal benchmark for liquid density
Ice (0°C)0.917917✓ Floats (9% above)Hexagonal lattice expansion
Gasoline0.750750✓ FloatsFuel fires require foam, not water stream
Aluminum2.7002,700SinksAerospace & structural lightweighting
Structural Steel7.8707,870SinksCivil construction & automotive frames
Gold (24K)19.32019,320Sinks RapidlyPrecious bullion (authenticity verification)

Frequently Asked Questions

What is density and what is its standard formula?
Density (symbolized by the Greek letter ρ, rho) is a fundamental physical property defined as mass per unit volume: ρ = m / V. In SI units, it is measured in kg/m³, though grams per cubic centimeter (g/cm³) and grams per milliliter (g/mL) are widely used in laboratories (1 g/cm³ = 1,000 kg/m³ = 1 g/mL).
What is specific gravity and how does it relate to density?
Specific gravity (SG) is the dimensionless ratio of a material's density to the density of pure water at 4°C (1.000 g/cm³). Because water's density is 1 g/cm³, a substance's specific gravity is numerically identical to its density in g/cm³ (e.g., Gold has a density of 19.32 g/cm³ and a specific gravity of 19.32).
Why does ice float on liquid water?
Unlike almost all other substances which contract and become denser upon freezing, water molecules form a rigid hexagonal crystalline lattice through hydrogen bonding that takes up about 9% more space. This reduces the density of ice to approximately 0.917 g/cm³, allowing it to float buoyantly on liquid water (1.000 g/cm³).
How do you measure the volume of an irregular solid object?
Use Archimedes' principle of water displacement: fill a graduated cylinder or overflow container with a known volume of water, submerge the object completely, and measure the new combined volume. The volume increase directly equals the object's volume (V_object = V_final - V_initial).
How does temperature affect material density?
For almost all solids, liquids, and gases, heating increases thermal kinetic energy, causing thermal expansion and increasing volume, which decreases density. Gases are particularly sensitive to both temperature and ambient barometric pressure.

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