Mass per volume density.
Troy ounces per Cup to Grains per Cubic Millimeter Converter — oz t/cup to gr/mm3
Convert Troy ounce per Cup (oz t/cup) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 troy ounce per cup = 0.0020288414 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Troy 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 131.4667088 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Cup to Grains per Cubic Millimeter
Troy 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 = troy ounces per cup × 0.00202884136211
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cup equals 131.466708828 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct troy ounce per cup-to-grain per cubic millimeter factor of 0.00202884136211.
Simple example
1 oz t/cup × 0.002028841362 = 0.0020288414 gr/mm3
1 troy ounce per cup = 0.0020288414 grains per cubic millimeter.
Real-world example
1,000 oz t/cup × 0.002028841362 = 2.028841362 gr/mm3
1,000 troy ounces per cup = 2.028841362 grains per cubic millimeter.
Conversion table
| Troy ounce per Cup (oz t/cup) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 oz t/cup | 0.0002028841 gr/mm3 |
| 1 oz t/cup | 0.0020288414 gr/mm3 |
| 10 oz t/cup | 0.0202884136 gr/mm3 |
| 100 oz t/cup | 0.2028841362 gr/mm3 |
| 1,000 oz t/cup | 2.028841362 gr/mm3 |
| 10,000 oz t/cup | 20.28841362 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Troy ounce per Cup
0.0020288414 gr/mm3 × 492.8921594 = 1.000000019 oz t/cup
0.0020288414 grains per cubic millimeter = 1.000000019 troy ounces per cup.
troy ounces per cup = grains per cubic millimeter × 492.892159375
For a page dedicated to this direction, see Grain per Cubic Millimeter to Troy ounce per Cup.
Understanding the Troy ounce per Cup (oz t/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 troy ounce per cup?
1 troy ounce per cup equals 0.0020288414 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cup to grain per cubic millimeter?
Multiply the troy ounce per cup value by 0.002028841362. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to troy ounce per cup?
Use the reverse factor: 1 grain per cubic millimeter equals 492.8921594 troy ounces per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/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 troy ounce per cup to grain per cubic millimeter conversion exact?
Yes. Both troy ounce per cup and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.002028841362 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.