Volume conversion family

Volume unit conversions

Volume is a derived quantity representing three-dimensional space and has dimension L³; its coherent SI unit is the cubic meter (m³).

Five named units

Unit and factor reference

Base: L
Factors are stored as decimal strings relative to liter (L).
UnitSymbolFactor to baseRelationshipDefinition and variant
literL1defined

The liter is the U.S. English spelling of litre, a special name for the cubic decimeter: 1 L = 1 dm³ = 0.001 m³.

Named variant: Capital L is used to avoid confusion between lower-case l and the numeral 1.

The base factor is exactly 1 by the family base-unit choice; the litre-to-cubic-metre relationship is exact.

millilitermL0.001exact

A milliliter is one-thousandth of a liter: 1 mL = 0.001 L = 1 cm³ exactly.

The decimal-prefix relationship is exact.

cubic meter1000exact

The cubic meter is the coherent SI unit of volume; 1 m³ = 1000 dm³ = 1000 L exactly.

The relationship to the litre base used by this family is exact.

US liquid gallongal3.785411784defined

The U.S. liquid gallon is exactly 231 cubic inches, equal to 3.785411784 liters.

Named variant: U.S. liquid gallon; not the Imperial gallon (4.54609 L) or U.S. dry gallon.

The terminating base factor is exact because the U.S. liquid gallon and international inch are exactly defined.

US customary liquid cupcup0.2365882365defined

This U.S. customary measuring cup is 8 U.S. fluid ounces, one-half U.S. liquid pint, or one-sixteenth U.S. liquid gallon: exactly 0.2365882365 L.

Named variant: U.S. customary liquid measuring cup; not a 250 mL metric cup or the 240 mL U.S. legal nutrition-label cup.

The stored factor is the exact terminating value implied by 1 cup = 1/16 U.S. liquid gallon; NIST's ready-reference table rounds it to 237 mL and Appendix B.8 displays fewer digits.

Every ordered pair

All 20 volume calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This family converts non-negative volume magnitudes; it does not account for thermal expansion, compressibility, fill level, or measurement uncertainty.
  • The gallon is the U.S. liquid gallon, not the U.S. dry gallon or Imperial gallon.
  • The cup is the U.S. customary measuring cup equal to 8 U.S. fluid ounces; metric cups and the 240 mL U.S. nutrition-label cup are different variants.

Authoritative references