geometry calculator

Regular Icosahedron Volume Calculator

Open this calculator for cases where a small arithmetic slip would otherwise force a full restart around regular icosahedron volume.

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

volume = (5 x (3 + sqrt(5)) / 12) x edge^3

The regular icosahedron has 20 congruent triangular faces and a stable exact volume formula.

Example

Edge Length 4 gives Volume 139. 63.

Check

Switching between degrees and raw ratios without noticing the change.
Rounding an intermediate value too early when the output feeds another step.

Next Step

Next Calc

Regular Dodecahedron Volume Calculator

Keep this page handy for situations where a hand calculation would be slow or easy to miscopy around regular dodecahedron volume.

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Regular Hexagonal Prism Volume Calculator

Next: regular hexagonal prism volume.

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Regular Icosahedron Surface Area Calculator

This page is tuned for clean geometry checks during drafting or homework around regular icosahedron surface area.

Important Use Notice

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