Density to Weight Calculator
Calculate weight from density and volume using the formula W = ρ × V
Calculate Using W = ρ × V
Example Calculation
Lead Artifact Weight
Given: Lead density = 11,340 kg/m³, Volume = 250 cm³
Step 1: Convert volume: 250 cm³ = 0.00025 m³
Step 2: Apply formula: W = ρ × V
Step 3: Calculate: W = 11,340 × 0.00025 = 2.835 kg
Gold Object Weight
Given: Gold density = 19.32 g/cm³, Volume = 60 cm³
Calculation: W = 19.32 × 60 = 1,159 grams
Note: Weight is proportional to volume - double the volume, double the weight
Material Densities
Physics Facts
Weight depends on both density and volume of an object
Density is an intrinsic property that doesn't change with size
Weight is proportional to volume for the same material
This calculation gives mass; multiply by gravity for force weight
Understanding Density to Weight Conversion
The Density to Weight Formula
Weight (or more accurately, mass) can be calculated from density and volume using the rearranged density equation. Since density is defined as mass per unit volume (ρ = m/V), we can solve for mass: m = ρ × V.
Key Applications
- •Material Analysis: Determine object weight without weighing
- •Engineering: Calculate structural loads and shipping weights
- •Manufacturing: Quality control and material verification
- •Architecture: Building material weight calculations
Formula Details
W = ρ × V
ρ = W / V
V = W / ρ
- W: Weight/Mass (kg, g, lb, etc.)
- ρ (rho): Density (kg/m³, g/cm³, etc.)
- V: Volume (m³, cm³, L, etc.)
Important: This formula calculates mass. To get weight force, multiply by gravitational acceleration (9.81 m/s²).
Density vs. Weight Relationship
Density
Intrinsic property of a material. Does not change with object size. Measured in mass per unit volume.
Volume
Amount of space an object occupies. Determined by object dimensions. Can be measured or calculated from geometry.
Weight
Depends on both density and volume. Doubles when volume doubles. Changes with object size but not with location.