3D Printing Fertiliser Formula
Learn how to estimate polymer, fertiliser additive and active nutrient mass for a small fertiliser-loaded 3D print.
This calculation estimates a preparation batch from a model's solid volume, estimated material-filled portion, blend density and expected waste. It is useful for planning a small trial blend before printing.
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Total Blend to Prepare
Where:
Estimate the printed volume from infill and shells, convert it to mass using density, then increase the mass for waste.
Variables Explained
| Variable | What It Means | Unit |
|---|---|---|
| V - Solid model volume | Volume of the model if printed fully solid. | ml |
| I - Infill percentage | Slicer infill setting. | percent |
| S - Shell and top-layer allowance | Estimated material contribution from walls and solid layers. | percent |
| D - Composite density | Density of the finished polymer-fertiliser blend. | g/ml |
| W - Waste percentage | Allowance for mixing, purging, handling and print losses. | percent |
| L - Fertiliser loading | Fertiliser additive share of prepared blend mass. | percent |
| N - Active nutrient content | Selected nutrient share of the fertiliser additive. | percent |
Step-by-Step Calculation
Find effective fill
Combine infill and the shell allowance, capped at a fully solid part.
effectiveFillPercent = min(100, infillPercent + shellAllowancePercent)
Estimate printed volume
Apply effective fill to the fully solid model volume.
printedVolume = solidModelVolume * effectiveFillPercent / 100
Estimate part mass
Convert material-filled volume to finished part mass.
partCompositeMass = printedVolume * compositeDensity
Add waste
Increase the batch amount to cover expected losses.
totalCompositeMass = partCompositeMass * (100 + wastePercent) / 100
Split the blend
Divide the preparation mass into additive and base polymer.
fertiliserMass = totalCompositeMass * fertiliserLoadingPercent / 100; polymerMass = totalCompositeMass - fertiliserMass
Track active nutrient
Calculate the selected nutrient mass within the fertiliser portion.
activeNutrientMass = fertiliserMass * activeNutrientPercent / 100
Worked example: small planter insert
Effective fill
min(100, 25 + 12)
37%
Printed volume
120 × 37 / 100
44.4 ml
Finished part mass
44.4 × 1.25
55.5 g
Blend to prepare
55.5 × 1.10
61.05 g
Blend components
61.05 × 20% and 61.05 − 12.21
12.21 g fertiliser; 48.84 g polymer
Active nutrient
12.21 × 15%
1.83 g
Final Result
Prepare about 61.1 g of blend: 48.8 g base polymer and 12.2 g fertiliser additive, containing about 1.83 g of the selected active nutrient.
Assumptions
- ✓Solid model volume represents a completely solid version of the part.
- ✓Shell allowance is a simplified estimate in addition to infill.
- ✓Composite density represents a uniform, printable blend.
- ✓Fertiliser loading is measured by total blend mass.
- ✓Waste allowance covers preparation and printing losses.
Limitations
- !Actual slicer material use can differ with geometry, wall count, layer settings and supports.
- !Density may change with additive particle size, moisture and mixing quality.
- !The estimate does not predict extrusion quality, strength or nutrient release.
- !Compatibility with polymer, processing temperature and intended use must be assessed separately.
Common Mistakes to Avoid
Using filament mass instead of the model's fully solid volume.
Treating infill percentage as the whole material estimate without allowing for shells.
Entering fertiliser loading as a percentage of polymer rather than total blend.
Using the density of neat polymer instead of the composite density.
Omitting purge, transfer or failed-print waste.
Related Formulas
Frequently Asked Questions
How is fertiliser-loaded print mass calculated?
The calculator estimates printed volume from effective fill, multiplies it by composite density, then adds waste.
What is effective fill percentage?
It is infill plus the shell and top-layer allowance, capped at 100%.
How do I calculate polymer mass from fertiliser loading?
Calculate additive mass as total blend times loading, then subtract it from total blend mass.
Does active nutrient mass equal fertiliser additive mass?
No. It is the additive mass multiplied by the selected nutrient percentage.
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