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the claim
Infinitesimal volumes can be defined using shapes other than cubes
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
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Infinitesimal volume elements in integration and differential geometry can take various shapes depending on the coordinate system used, such as spherical or cylindrical shells, making this a matter of mathematical definition and common knowledge.

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The analysis

The claim is a matter of elementary mathematical definition and everyday calculus observation. Infinitesimal volume elements (like dV) are expressed in spherical coordinates as r^2 sin(theta) dr dtheta dphi, which geometrically represent infinitesimal wedges or spherical sectors rather than cubes. Therefore, this is common knowledge and does not require empirical citation.

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first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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