Density To Mass Calculator
Calculate mass, density, or volume using the fundamental formula m = ρ × V
Calculate Using m = ρ × V
Example Calculation
Calculate Mass from Density and Volume
Given: Density = 54 kg/m³, Volume = 80 m³
Step 1: Use the formula m = ρ × V
Step 2: Substitute values: m = 54 × 80
Step 3: Calculate: m = 4,320 kg
Alternative Mass Formulas in Physics
From Force & Acceleration: m = F/a (Newton's 2nd Law)
From Weight: m = W/g (Weight divided by gravity)
From Energy: m = E/c² (Einstein's mass-energy equivalence)
From Density & Volume: m = ρ × V (This calculator)
Common Material Densities
Physics Facts
Mass is a measure of the amount of matter in an object
Density measures how tightly packed matter is in a given space
The SI unit of mass is kilogram (kg)
Mass is invariant - it doesn't change with location
Understanding Mass, Density, and Volume Relationships
The Mass Formula: m = ρ × V
This fundamental relationship in physics states that mass equals density multiplied by volume. It's derived from the definition of density as mass per unit volume (ρ = m/V), rearranged to solve for mass.
Applications
- •Materials Science: Determining material composition
- •Engineering: Calculating structural loads and weights
- •Chemistry: Stoichiometric calculations
- •Manufacturing: Quality control and material verification
Key Concepts
m = ρ × V
ρ = m / V
V = m / ρ
- m: Mass (kg, g, etc.)
- ρ (rho): Density (kg/m³, g/cm³, etc.)
- V: Volume (m³, cm³, L, etc.)
Remember: Mass is the amount of matter, while weight is the force exerted by gravity on that mass. Mass remains constant regardless of location.
Mass vs. Density vs. Weight
Mass
The amount of matter in an object. Measured in kg, g, etc. Does not change with location or gravity.
Density
Mass per unit volume. Measured in kg/m³, g/cm³, etc. Intrinsic property of materials.
Weight
Force exerted by gravity on mass. Measured in N, lb, etc. Changes with gravitational field strength.