Formula and Method for Copper Wire Weight
The weight of a length of copper wire depends on just three things: how long it is, how thick it is, and the density of copper itself. The cross-sectional area of a round wire comes from its diameter, A = (π/4) × d². Multiplying that area by the wire's length gives its volume, and multiplying volume by copper's density gives mass: m = ρ × L × A, where ρ = 8.96 g/cm³ (8,960 kg/m³) is the standard density of pure copper at room temperature.
How the calculation works
Enter the wire length and its unit, the wire diameter and its unit, and the number of individual wires or strands (use a value greater than 1 for bundled conductors or multi-core cable, where every strand adds its own weight). The calculator converts length to meters and diameter to millimeters, computes the cross-sectional area with A = (π/4) × d², multiplies area by length and strand count to get total copper volume, then multiplies that volume by copper's density (8.96 g/cm³) to get mass in kilograms. It also converts that mass to pounds (1 kg = 2.2046 lb) and, if you enter a copper price per kilogram, multiplies the weight by that price to estimate material cost.
Common mistakes
- Entering radius instead of diameter: the formula uses the full diameter (wire thickness across), not the radius — using radius by mistake will overstate the weight by 4x.
- Ignoring insulation weight: this calculator returns the weight of bare copper conductor only; PVC, THHN, or other jacket material adds additional weight not captured here.
- Forgetting strand count: a 3-conductor cable or a bundle of parallel wires contains multiple lengths of copper — leaving strand count at 1 will undercount the total copper weight.
- Mixing diameter and length units: make sure the diameter unit (mm or in) and length unit (m, ft, yd, km, or mi) each match what you actually measured before calculating.
Real-world applications
- Electricians and estimators use wire weight to price out copper conductor on a job before ordering material.
- Cable tray, conduit, and support design uses total conductor weight to check load ratings and support spacing.
- Shipping and spool logistics rely on weight estimates to calculate freight costs and spool capacity.
- Scrap and recycling calculations use copper weight and current market price per kilogram to estimate payout.