Density Calculator - ρ = m / V, Mass, Volume & Specific Gravity
Free online density calculator. Solve for density (ρ), mass (m), or volume (V) with comprehensive unit conversions (g/cm³, kg/m³, lb/ft³, lb/in³), common solid/liquid/gas material presets (Gold, Steel, Aluminum, Water, Seawater, Air), and specific gravity relative to water.
Density, Mass & Volume Calculator (ρ = m / V)
Solve for density, mass, or volume with material presets, specific gravity, and multi-unit conversions.
Input Parameters
Equivalent Unit Conversions
Material Density & Specific Gravity Guide: Physics Mechanics, Volume & Buoyancy Principles
Density (ρ) is an intensive physical property defined as mass per unit volume. It governs material weight, structural integrity, hydrodynamics, and buoyancy. This guide covers density equations, specific gravity vs water, and material standards.
Core Density Equations
Density Formula: ρ = m / V (kg/m³ or g/cm³)
Mass Formula: m = ρ · V
Volume Formula: V = m / ρ
Specific Gravity: SG = ρ_substance / ρ_water_at_4C (where ρ_water = 1,000 kg/m³)
Step-by-Step Instructions
Select Calculation Variable
Choose to solve for Density (`rho = m / V`), Mass (`m = rho * V`), or Volume (`V = m / rho`).
Enter Known Parameters & Units
Input mass in grams, kilograms, pounds, or ounces, and volume in cubic centimeters, milliliters, liters, cubic meters, or gallons.
Compute Material Density & Specific Gravity
The calculator evaluates exact physical density alongside Specific Gravity relative to water at 4°C (`1.000 g/cm³`).
Compare Against Material Database
Match your computed density against reference materials (Gold, Aluminum, Water, Steel, Gasoline, Air, Concrete).
Key Features & Capabilities
- Fundamental physics formula engine: solves `Density (rho) = Mass (m) / Volume (V)` for any unknown variable
- Specific Gravity (Relative Density) calculator comparing fluid and solid densities to pure water (`1000 kg/m³` at 4°C)
- Comprehensive material density database: metals (Gold 19.32, Lead 11.34, Iron 7.87, Aluminum 2.70 g/cm³), liquids, and gases
- Multi-unit converter: `g/cm³`, `kg/m³`, `g/mL`, `lb/ft³`, `lb/in³`, and `kg/L`
- Buoyancy predictor: determines whether an object will float or sink in water or other liquids based on Archimedes' Principle
- Instant laboratory-grade precision with step-by-step dimensional analysis output
Frequently Asked Questions
What is Density and what is its standard scientific formula?
Density (`rho` or `D`) is a fundamental physical property defined as mass per unit volume. The formula is: `Density (rho) = Mass / Volume = m / V`. In the SI system, density is measured in kilograms per cubic meter (`kg/m³`) or grams per cubic centimeter (`g/cm³`).
What is Specific Gravity and how is it related to density?
Specific Gravity (SG), or relative density, is a dimensionless ratio comparing a substance's density to the density of reference water at 4°C (`1.000 g/cm³` or `1,000 kg/m³`). An object with an SG greater than 1.0 sinks in water; an object with an SG less than 1.0 floats.
Why does ice float on liquid water?
Unlike almost all other substances which contract and become denser when freezing, water's unique hydrogen bonding forms a rigid, open hexagonal crystal lattice as it freezes. This expands its volume, making ice less dense (`0.917 g/cm³`) than liquid water (`1.000 g/cm³`), causing icebergs and ice cubes to float.
How do you calculate the mass of an irregularly shaped object using water displacement?
Submerge the object in a graduated cylinder of water and measure the volume change (`Delta_V = Final Volume - Initial Volume`). Multiply the displaced volume by the known density of the material: `Mass = Density * Displaced Volume`.
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