Mass per volume density.
Grains per Cubic Millimeter to Troy ounces per Cup Converter — gr/mm3 to oz t/cup
Convert Grain per Cubic Millimeter (gr/mm3) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 grain per cubic millimeter = 492.8921594 troy ounce per cup). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Troy ounces per Cup 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 64798.91 / 131.4667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Millimeter to Troy ounces per Cup
Grain per Cubic Millimeter and Troy ounce per Cup 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
troy ounces per cup = grains per cubic millimeter × 492.892159375
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic millimeter equals 64798.91 base units, and 1 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-troy ounce per cup factor of 492.892159375.
Simple example
1 gr/mm3 × 492.8921594 = 492.8921594 oz t/cup
1 grain per cubic millimeter = 492.8921594 troy ounces per cup.
Real-world example
1,000 gr/mm3 × 492.8921594 = 492,892.1594 oz t/cup
1,000 grains per cubic millimeter = 492,892.1594 troy ounces per cup.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 gr/mm3 | 49.28921594 oz t/cup |
| 1 gr/mm3 | 492.8921594 oz t/cup |
| 10 gr/mm3 | 4,928.921594 oz t/cup |
| 100 gr/mm3 | 49,289.21594 oz t/cup |
| 1,000 gr/mm3 | 492,892.1594 oz t/cup |
| 10,000 gr/mm3 | 4,928,921.594 oz t/cup |
Reverse conversion: Troy ounce per Cup to Grain per Cubic Millimeter
492.8921594 oz t/cup × 0.002028841362 = 1 gr/mm3
492.8921594 troy ounces per cup = 1 grains per cubic millimeter.
grains per cubic millimeter = troy ounces per cup × 0.00202884136211
For a page dedicated to this direction, see Troy ounce per Cup to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cup are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 492.8921594 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to troy ounce per cup?
Multiply the grain per cubic millimeter value by 492.8921594. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to grain per cubic millimeter?
Use the reverse factor: 1 troy ounce per cup equals 0.0020288414 grains per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
Is the grain per cubic millimeter to troy ounce per cup conversion exact?
Yes. Both grain per cubic millimeter and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 492.8921594 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.