geometry calculator

Ellipsoid Surface Area Calculator

When you need quick formula verification before copying a result into notes around ellipsoid surface area.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Estimate Results

Enter values to see the result.

Formula

surface area ≈ 4pi x ((a^p b^p + a^p c^p + b^p c^p) / 3)^(1/p)

This page uses the Knud Thomsen approximation, which is a practical closed form for ellipsoid surface area.

The approximation uses p = 1. 6075.

Example

Axis A 8, Axis B 6, Axis C 4 gives Approximate Surface Area 446. 42.

Check

Rounding an intermediate value too early when the output feeds another step.
Using the right formula with the wrong measurement label or axis.

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