Examples
Examples
Try the starting example
- Ellipsoid gemstone length (mm)
- 8
- Ellipsoid width (mm)
- 6
- Ellipsoid depth (mm)
- 4
- Supplied material density (g/cm³)
- 3.5
- User-supplied cut-volume fraction of ellipsoid
- 0.8
- Approximate volume (mm³)
- 80.424772
- Approximate mass (g)
- 0.281487
- Approximate mass (carats)
- 1.407434
Try another scenario
- Ellipsoid gemstone length (mm)
- 8
- Ellipsoid width (mm)
- 6
- Ellipsoid depth (mm)
- 5
- Supplied material density (g/cm³)
- 3.5
- User-supplied cut-volume fraction of ellipsoid
- 0.8
- Approximate volume (mm³)
- 100.530965
- Approximate mass (g)
- 0.351858
- Approximate mass (carats)
- 1.759292
Calculation method
Calculation method
Approximate volume (mm³)
math.pi*a*b*c/6*e
Approximate mass (g)
math.pi*a*b*c/6*e/1000*d
Approximate mass (carats)
math.pi*a*b*c/6*e/1000*d/0.2
Symbols and units
- a
- Ellipsoid gemstone length (mm)
- b
- Ellipsoid width (mm)
- c
- Ellipsoid depth (mm)
- d
- Supplied material density (g/cm³)
- e
- User-supplied cut-volume fraction of ellipsoid
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ellipsoid bounding approximation with explicitly supplied cut correction, 0<fraction≤1. Density and cut assumptions dominate uncertainty; not a gem appraisal. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.