FA-5989 / Solid geometry / Member archive

Cube volume from body diagonal squared · case 04

The body diagonal is used as the cube side.

Member previewVariant 4 · 3 implementations · 4 checks per implementation

Case contract

Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. diagonal_squared>=0; derive the volume of a cube from the squared body diagonal. Exact operational definition: (diagonal_squared/3)**1.5

Why this case matters

Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
fixture 1: (3,)	`5.196152422706632`	`1`	Failed

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