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Bean Bag Filling Volume Calculator — result sheet
Estimate fill volume for an ellipsoid-like bean bag from its three overall dimensions and a selected fill fraction.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ellipsoid envelope = 4π(length/2)(width/2)(height/2)/3; fill volume = envelope×fill percentage.
The model treats the bag as an ellipsoid-like envelope and lets the visitor reserve space for compression and softness.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Overall length — m; minimum 1.0E-6; maximum 1000
- Overall width — m; minimum 1.0E-6; maximum 1000
- Overall height — m; minimum 1.0E-6; maximum 1000
- Fill fraction — %; minimum 0; maximum 100
Worked example
| Input | Value |
|---|---|
| Overall length | 1.2 |
| Overall width | 0.8 |
| Overall height | 0.8 |
| Fill fraction | 70 |
Usable fill volume ≈ 0.281 m³, or 281.5 L.
Assumptions and limits
- Dimensions are metres and describe an approximate ellipsoid envelope.
- Fill percentage is a planning fraction, not a material-density conversion.
- Shape, fabric stretch, foam type, compression, and manufacturer packing instructions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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