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Filament Volume and Print Cost Estimate
Filament volume is pi times radius squared times length. Mass is density times volume; material cost is mass in kilograms times price per kilogram. Labor is time times hourly cost; markup is applied to the sum.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
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Formula and method
Filament volume is pi times radius squared times length. Mass is density times volume; material cost is mass in kilograms times price per kilogram. Labor is time times hourly cost; markup is applied to the sum.
material_cost = density * pi * (filament_diameter/2)^2 * filament_length * cost_per_kg; job_cost = cost_per_hour * job_time ; total_cost = (material_cost + job_cost) * (1+markup); filament_weight = density * pi * (filament_diameter/2)^2 * filament_length
Worked example
Enter these known values and leave the other values blank.
- Material type
- PLA (Polylactic Acid)
- Price
- 20 USD / kg
- Filament diameter
- 1.75 mm
- Filament length
- 10000 cm
- Printing time
- 2 hrs
- Cost per hour
- 10 USD / hrs
- Markup
- 20 %
- Density
- 1.27 g/cm³
- Filament weight
- 0.305 kg
- Material cost
- 6.11 USD
- Labor cost
- 20 USD
- Final price
- 31.33 USD
Assumptions and limitations
- Filament volume is pi times radius squared times length. Mass is density times volume; material cost is mass in kilograms times price per kilogram. Labor is time times hourly cost; markup is applied to the sum.
- Material densities are captured approximate presets, with a custom density option. Waste, supports, electricity, depreciation, sales tax and shipping are excluded unless incorporated in supplied cost assumptions.
Common questions
What does this model assume?
Filament volume is pi times radius squared times length. Mass is density times volume; material cost is mass in kilograms times price per kilogram. Labor is time times hourly cost; markup is applied to the sum.
References
The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.
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