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SI-core dimensional arithmetic

Density, Mass and Volume

Solve ρ=m/V using metric or international-foot/avoirdupois-pound inputs. Optional geometric volume uses dimensions in millimetres or inches and is converted through one SI calculation core.

ρ=m/VExact unit definitionsTraceable density required

Data gate: density depends on composition, porosity, moisture, temperature and pressure. Enter a value traceable to the actual batch/specification or measurement. No generic material preset is selected by this calculator.

Physical result

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Objem
Density conversions
Mass conversion
Volume conversions

ρ=m/V;   m=ρV;   V=m/ρ
Vrect=abh;   Vvalec=πR²h;   Vhollow=π(R²−r²)h
Vsphere=4πR³/3;   Vcone=πR²h/3

Stránka BIPM SI Brochure, ninth edition updated in 2026 identifies kg/m³ as the coherent SI unit of mass density. NIST defines density as mass per unit volume and notes that a substance density is normally stated with conditions.

NIST SP 811 conversion guidance uses the international foot 1 ft=0.3048 m exactly and avoirdupois pound 1 lb=0.45359237 kg exactly. Therefore 1 ft³=0.028316846592 m³ and 1 lb/ft³=16.01846337396 kg/m³. Shape equations are general geometric identities, not ISO formulas.

Removed claims: the former material table was unsourced and internally inconsistent (PTFE appeared as both 1300 and 2200 kg/m³). The water-buoyancy/floating decision used full object volume even for partial immersion and has been removed. Kilograms, pounds and tonnes are mass units—not weight-force units.

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SI-core mass-density arithmetic with exact international-foot/pound conversions. Scientific review: July 2026.

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