3D printing filament is sold in spools classified by weight. They are often in 500-gram or 1-kilogram spools, although there are both bigger and smaller options. This is likely the most convenient unit of measurement in terms of sales and logistics.
Unfortunately, it’s easier to estimate how long a spool would last if you knew exactly how long the filament is. Here is a handy way to calculate for the meters of filament in your spool given its weight.
How to Calculate The Length?
Based on our calculations, there are around 335 meters of filament in a 1-kilogram spool of PLA filament with a diameter of 1.75 millimeters. Note that these calculations assume that the diameter of the filament is perfectly consistent throughout its length.
Below is how we calculate the length. The calculation is : H=4W/(πρD*D)
H: filament length
W: filament weight per roll
π:3.14
ρ: filament weight
D: filament diameter
Take 1kg/roll 1.75mm PLA filament for example.
![](data:image/png;base64,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)
Here is a summary of filaments’ weight.
1kg 1.75mm PLA filament length is around 335 meters.
1kg 1.75mm ABS filament length is around 400 meters.
1kg 1.75mm TPU filament length is around 335 meters.
1kg 1.75mm PETG filament length is around 328 meters.
1kg 2.85mm PLA filament length is around 126 meters.
1kg 2.85mm ABS filament length is around 151 meters.
1kg 2.85mm TPU filament length is around 126 meters.
1kg 2.85mm PETG filament length is around 123 meters.
This approach may be used for any filament or spool SKU. You can also use the same calculations to estimate the length of leftover filament in a spool that has been partially consumed if you have a weighing scale at home. Just make sure to account for the weight of the empty spool.
More filament length calculations are below.
| π | ρ | D | W | H |
1kg 1.75mm PLA(1.24) | 3.14 | 1.24 | 1.75 | 1 | 335 |
0.5kg 1.75mm PLA(1.24) | 3.14 | 1.24 | 1.75 | 0.5 | 168 |
5kg 1.75mm PLA(1.24) | 3.14 | 1.24 | 1.75 | 5 | 1677 |
1kg 2.85mm PLA(1.24) | 3.14 | 1.24 | 2.85 | 1 | 126 |
1kg 1.75mm ABS(1.04) | 3.14 | 1.04 | 1.75 | 1 | 400 |
0.5kg 1.75mm ABS(1.04) | 3.14 | 1.04 | 1.75 | 0.5 | 200 |
5kg 1.75mm ABS(1.04) | 3.14 | 1.04 | 1.75 | 5 | 2000 |
1kg 2.85mm ABS(1.04) | 3.14 | 1.04 | 2.85 | 1 | 151 |
1kg 1.75mm TPU(1.24) | 3.14 | 1.24 | 1.75 | 1 | 335 |
0.5kg 1.75mm TPU(1.24) | 3.14 | 1.24 | 1.75 | 0.5 | 168 |
1kg 2.85mm TPU(1.24) | 3.14 | 1.24 | 1.75 | 5 | 1677 |
5kg 1.75mm TPU(1.24) | 3.14 | 1.24 | 2.85 | 1 | 126 |
1kg 1.75mm PETG(1.27) | 3.14 | 1.27 | 1.75 | 1 | 328 |
0.5kg 1.75mm PETG(1.27) | 3.14 | 1.27 | 1.75 | 0.5 | 164 |
5kg 1.75mm PETG(1.27) | 3.14 | 1.27 | 1.75 | 5 | 1638 |
1kg 2.85mm PETG(1.27) | 3.14 | 1.27 | 2.85 | 1 | 123 |