Filament Length Calculator

Convert between filament weight and length for a given diameter and material density.

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How It Works

Filament is a cylinder of plastic with a known diameter and material density. The relationship between weight and length is derived from the volume of a cylinder.

Weight → Length

Given a filament weight W (in grams), diameter d (in mm), and material density ρ (in g/cm³):

1. Volume = W / ρ (cm³)
2. Cross-sectional area = π × (d/2)² (convert mm to cm first)
3. Length = Volume / Area (cm, then convert to meters)

Length → Weight

Given a filament length L (in meters):

1. Cross-sectional area = π × (d/2)² (in cm²)
2. Volume = Area × L × 100 (cm³)
3. Weight = Volume × ρ (grams)

Common Material Densities

• PLA: 1.24 g/cm³
• ABS: 1.04 g/cm³
• PETG: 1.27 g/cm³
• TPU: 1.21 g/cm³
• Nylon: 1.14 g/cm³
• ASA: 1.07 g/cm³

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