Mass per volume density.
Ounces per Cup to Grains per Cubic Millimeter Converter — oz/cup to gr/mm3
Convert Ounce per Cup (oz/cup) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 ounce per cup = 0.0018492044 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Ounces per Cup to Grains per Cubic Millimeter converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 119.8264273 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounces per Cup to Grains per Cubic Millimeter
Ounce per Cup and Grain per Cubic Millimeter both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grains per cubic millimeter = ounces per cup × 0.00184920436651
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cup equals 119.826427317 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct ounce per cup-to-grain per cubic millimeter factor of 0.00184920436651.
Simple example
1 oz/cup × 0.001849204367 = 0.0018492044 gr/mm3
1 ounce per cup = 0.0018492044 grains per cubic millimeter.
Real-world example
1,000 oz/cup × 0.001849204367 = 1.849204367 gr/mm3
1,000 ounces per cup = 1.849204367 grains per cubic millimeter.
Conversion table
| Ounce per Cup (oz/cup) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 oz/cup | 0.0001849204 gr/mm3 |
| 1 oz/cup | 0.0018492044 gr/mm3 |
| 10 oz/cup | 0.0184920437 gr/mm3 |
| 100 oz/cup | 0.1849204367 gr/mm3 |
| 1,000 oz/cup | 1.849204367 gr/mm3 |
| 10,000 oz/cup | 18.49204367 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Ounce per Cup
0.0018492044 gr/mm3 × 540.773112 = 1.000000018 oz/cup
0.0018492044 grains per cubic millimeter = 1.000000018 ounces per cup.
ounces per cup = grains per cubic millimeter × 540.773112
For a page dedicated to this direction, see Grain per Cubic Millimeter to Ounce per Cup.
Understanding the Ounce per Cup (oz/cup)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 ounce per cup?
1 ounce per cup equals 0.0018492044 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cup to grain per cubic millimeter?
Multiply the ounce per cup value by 0.001849204367. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to ounce per cup?
Use the reverse factor: 1 grain per cubic millimeter equals 540.773112 ounces per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cup?
Ounce per Cup (oz/cup) is a unit of density.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the ounce per cup to grain per cubic millimeter conversion exact?
Yes. Both ounce per cup and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.001849204367 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.