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3D printing filament calculator

A print is mostly air. Infill percentage is the number that decides how much filament it actually takes.

cm3
%
% of volume
g/cm3

PLA 1.24; PETG 1.27; ABS 1.04; TPU 1.21.

Filament weight
59.5g
≈ Rounded 3D printing filament
Filament length
19.96
Material volume
48.00 cm3
Material cost
1.309
Prints per spool
16.8
Effective solid fraction
0.4000
Show the working
  1. Model volume = 120
  2. Infill = 20
  3. Shell and top or bottom = 25
  4. Filament density = 1.24
  5. Filament diameter = 1.75
  6. Spool price = 22
  7. Spool weight = 1000
  8. Effective solid fraction = 25/100 + (1 - 25/100) * 20/100 = 0.4
  9. Material volume = 120 * 0.4 = 48
  10. Filament weight = 48 * 1.24 = 59.52
  11. cross_section = pi * (1.75/20)^2 = 0.024 052 8
  12. length_cm = 0.024 052 8 > 0 ? 48 / 0.024 052 8 : 0 = 1995.61
  13. Filament length = 1995.61 / 100 = 19.9561
  14. Material cost = 1000 > 0 ? 59.52 / 1000 * 22 : 0 = 1.309 44
  15. Prints per spool = 59.52 > 0 ? 1000 / 59.52 : 0 = 16.8011

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • solid fraction = shell + (1 - shell) x infill
    • length = material volume / filament cross-section

    Slicer estimates are more accurate because they know the actual toolpaths. This is for quoting before you slice.

    Above about 40% infill the strength gain per gram falls off sharply; more perimeters usually help more.

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