Volume to Density Calculator
Calculate density from volume and mass, or find any variable when two are known
Calculate Density Properties
Space occupied by the object
Amount of matter in the object
Calculation Results
Formula used: ρ = m/V (Density = Mass ÷ Volume)
Units: Ensure consistent units for accurate results
Material Identification
Very Light Materials
Similar to: Cork (~240 kg/m³), Balsa wood (~160 kg/m³)
Example Calculations
Golf Ball Density
Given: Mass = 45.9 g, Volume = 40.7 cm³
Calculation: ρ = 45.9 g ÷ 40.7 cm³
Result: ρ = 1.13 g/cm³
Analysis: Slightly denser than water, will sink
Aluminum Block
Given: Volume = 0.001 m³, Density = 2700 kg/m³
Calculation: m = 2700 kg/m³ × 0.001 m³
Result: m = 2.7 kg
Analysis: Typical aluminum density, lightweight metal
Common Material Densities
Unit Conversion Tips
Volume
1 m³ = 1,000 L = 1,000,000 cm³
1 ft³ = 28.317 L = 7.481 gal (US)
Mass
1 kg = 1,000 g = 2.205 lb
1 ton = 1,000 kg = 2,205 lb
Density
1 g/cm³ = 1,000 kg/m³
1 lb/ft³ = 16.018 kg/m³
Density Formula
Basic Formula
ρ = m/V
Density = Mass ÷ Volume
Rearranged
m = ρ × V
V = m ÷ ρ
Specific Gravity
SG = ρ/ρ_water
Relative to water density
Understanding Density Calculations
What is Density?
Density is a fundamental physical property that describes how much mass is packed into a given volume of space. It's calculated using the simple formula ρ = m/V, where ρ (rho) is density, m is mass, and V is volume.
Key Concepts
- •Higher density = more mass in same volume
- •Density helps identify materials
- •Temperature affects density (thermal expansion)
- •Pressure can change density (especially gases)
Practical Applications
Density calculations are essential in many fields, from material science to engineering design. Understanding density helps determine if objects will float or sink, identify unknown materials, and design efficient structures.
Measurement Tips
Density in Different States
Solids
Generally highest density due to tightly packed atoms. Examples: metals, rocks, ceramics.
Liquids
Moderate density with some atomic movement. Examples: water, oils, liquid metals.
Gases
Lowest density due to widely spaced atoms. Examples: air, steam, natural gas.
Real-World Examples
Material Identification
- • Jewelers test gold purity using density
- • Geologists identify minerals and rocks
- • Quality control in manufacturing
- • Archaeological artifact analysis
Engineering Applications
- • Ship design and buoyancy calculations
- • Aircraft weight distribution
- • Concrete mix design optimization
- • Oil and gas separation processes