What Is a Print Scale & Volume Calculator?
When you scale a 3D model up or down in your slicer, the linear dimensions change by the percentage you enter — but the model's volume does not change by that same percentage. Volume is a three-dimensional quantity, so it scales with the cube of the linear scale factor. This calculator takes your model's original length, width and height plus a scale percentage, and shows you the new dimensions, the resulting volume, and how much that volume actually changed.
Understanding this relationship matters because filament use, print weight and cost all track volume, not the scale percentage. A model scaled to 150% doesn't use 50% more filament — it uses roughly 3.4 times more.
How to Read Your Results
Scaled Dimensions
This is simply your original length, width and height each multiplied by the scale factor (scale percentage ÷ 100). If you scale uniformly, all three dimensions change by the same factor.
Volume Change
This shows the new volume as a percentage of the original volume, calculated as the scale factor cubed. A 150% scale (factor 1.5) produces a volume ratio of 1.5³ = 3.375, or 337.5% of the original volume — meaning volume, filament use and cost all increase by roughly 3.4×, not 1.5×.
Real-World Example
Take a model with original dimensions of 100mm × 80mm × 60mm (original volume 480,000 mm³). Scaling it to 150% gives new dimensions of 150mm × 120mm × 90mm and a new volume of 1,620,000 mm³ — a volume ratio of 3.375, or 337.5% of the original. Here's how the volume ratio changes across a range of common scale percentages:
| Scale | Factor | Volume Ratio (Factor³) | Volume % of Original |
|---|---|---|---|
| 50% | 0.50 | 0.125 | 12.5% |
| 75% | 0.75 | 0.4219 | 42.2% |
| 100% | 1.00 | 1.000 | 100.0% |
| 125% | 1.25 | 1.9531 | 195.3% |
| 150% | 1.50 | 3.375 | 337.5% |
| 200% | 2.00 | 8.000 | 800.0% |
Notice how quickly the volume ratio outpaces the scale percentage as you scale up — and how forgiving it is as you scale down. This cube relationship is the same reason a 200% scale (double the size in every direction) doesn't use twice the filament — it uses eight times as much.
Tips for Scaling 3D Prints
- Always check your build plate size before scaling a model up — a print that fit at 100% may no longer fit at 150% or 200%.
- Scaling up significantly increases both filament use and print time — budget for roughly the cube of the linear scale factor, not the percentage itself.
- Non-uniform scaling — using a different percentage per axis — is sometimes useful for tight tolerances, such as compensating for a print that came out slightly oversized on one axis only.
Frequently Asked Questions
Why does doubling the size make the volume 8x, not 2x?
Volume is a three-dimensional measurement — it's length × width × height. When you scale every dimension by 2×, you're multiplying all three axes by 2, so the volume multiplies by 2 × 2 × 2 = 8. This is true for any uniform scale factor: the volume ratio always equals the scale factor cubed.
How does this affect print time?
Print time doesn't scale as predictably as volume, since it depends on layer count, perimeter length and infill pattern too — but a larger, higher-volume print generally takes noticeably longer to print, roughly in the same ballpark as the volume increase, especially for solid or high-infill prints.
Can I scale each axis independently?
Yes — most slicers let you enter a separate percentage for X, Y and Z. This calculator assumes uniform scaling (the same percentage on all three axes), which is the most common case, but the same cube-of-factor logic applies to volume even with non-uniform scaling — you'd just multiply the three individual axis factors together instead of cubing one number.
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Last updated: August 2026 · Reviewed by: Simple Calculator Tools Editorial Team