US Cups to Modii (cup to modius)

1 US cup equals 0.02709025609 modii (rounded).

1 US cup = 0.02709025609 modii

How to convert US cups to modii

To convert US cups to modii, multiply the number of US cups by 0.02709025609. The factor is rounded to 10 significant digits. To go the other way, multiply modii by 36.91364145 (rounded).

modii = US cups × 0.02709025609

Example: 10 US cups = 0.2709025609 modii.

Pints, quarts, gallons and fluid ounces differ between the US and the UK. Units are labeled 'US' or 'imperial' to avoid confusion.

Approximate value. Standards for the modius varied by place and period, so this converter uses the most commonly cited value. Treat results as estimates, not exact figures.

About these units

US Cup (cup)

US customaryCurrent unit

One sixteenth of a US gallon, 236.588 mL (8 US fluid ounces). The standard US recipe cup.

Cups began as household drinking vessels, not scientific units, which is why they remain the messiest measures in the kitchen. The US customary cup was defined by slicing up the gallon: half a pint, or eight US fluid ounces, about 236.6 milliliters. Unlike the larger units, nobody ever fixed it to a physical vessel, so it exists only as a fraction of the gallon.

The customary cup is not the only American cup. For nutrition labels, US regulation defines a cup as exactly 240 milliliters, a rounder figure that sits slightly above the customary size. Packaged foods therefore list a serving in the legal cup while a measuring cup from the hardware store follows the customary definition. The gap is 3.4 milliliters, which hardly matters for soup but can matter in baking. Cup measures also hide the weight of dry ingredients, since a cup of sifted flour and a cup of packed flour differ substantially, which is why much of the world prefers grams.

1 US cup = 0.2365882365 liters (exactly).

Sources: Wikipedia: Cup (unit); NIST SP 811, Appendix B.8: conversion factors for volume; 21 CFR 101.9: nutrition labeling household measures

Modius (modius)

Ancient RomanHistorical unit (no longer in standard use)Approximate value

Sixteen sextarii, about 8.73 L. The standard Roman dry measure, used for grain.

Grain, not wine, was what the modius measured. It belonged to the Roman dry scale, where it stood at the top of the ordinary series, with the semimodius at half its size and the larger modius castrensis, about 12.93 L, above it. Wikipedia's table gives the plain modius as 8.73 L, the figure used here, and describes it as 2 and two thirds congii or 16 sextarii.

That puts it at one third of an amphora quadrantal, so liquid and dry measures shared a single system built on the cubic Roman foot. Because it is a multiple of the sextarius, the usual uncertainty applies: surviving vessels suggest the sextarius ranged from 500 to 580 mL, which would put the modius between roughly 8.0 and 9.3 L. A bronze modius stamped with a reference to imperial regulation of weights and measures survives, which shows that the state tried to keep the size fixed. Today it is a little under a quarter of a US bushel.

1 modius = 8.733333333 liters (approximately).

Sources: Wikipedia: Ancient Roman units of measurement

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