Mass per volume density.
Grains per Cup to Troy ounces per Cubic Millimeter Converter — gr/cup to oz t/mm3
Convert Grain per Cup (gr/cup) to Troy ounce per Cubic Millimeter (oz t/mm3) using the exact conversion factor (1 grain per cup = 8.805735e-9 troy ounce per cubic millimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Troy ounces 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 0.2738889767 / 3.11034768e+7.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Troy ounces per Cubic Millimeter
Grain per Cup and Troy ounce 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
troy ounces per cubic millimeter = grains per cup × 8.805735e-9
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 troy ounce per cubic millimeter equals 31103476.8 base units, so dividing one by the other gives the direct grain per cup-to-troy ounce per cubic millimeter factor of 8.805735e-9.
Simple example
1 gr/cup × 8.805735e-9 = 8.805735e-9 oz t/mm3
1 grain per cup = 8.805735e-9 troy ounces per cubic millimeter.
Real-world example
1,000 gr/cup × 8.805735e-9 = 0.0000088057 oz t/mm3
1,000 grains per cup = 0.0000088057 troy ounces per cubic millimeter.
Conversion table
| Grain per Cup (gr/cup) | Troy ounce per Cubic Millimeter (oz t/mm3) |
|---|---|
| 0.1 gr/cup | 8.805735e-10 oz t/mm3 |
| 1 gr/cup | 8.805735e-9 oz t/mm3 |
| 10 gr/cup | 8.805735e-8 oz t/mm3 |
| 100 gr/cup | 8.805735e-7 oz t/mm3 |
| 1,000 gr/cup | 0.0000088057 oz t/mm3 |
| 10,000 gr/cup | 0.0000880574 oz t/mm3 |
Reverse conversion: Troy ounce per Cubic Millimeter to Grain per Cup
8.805735e-9 oz t/mm3 × 113562353.5 = 0.9999999911 gr/cup
8.805735e-9 troy ounces per cubic millimeter = 0.9999999911 grains per cup.
grains per cup = troy ounces per cubic millimeter × 113562353.52
For a page dedicated to this direction, see Troy ounce per Cubic Millimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Troy ounce per Cubic Millimeter (oz t/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cubic millimeter are in 1 grain per cup?
1 grain per cup equals 8.805735e-9 troy ounces per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to troy ounce per cubic millimeter?
Multiply the grain per cup value by 8.805735e-9. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cubic millimeter back to grain per cup?
Use the reverse factor: 1 troy ounce per cubic millimeter equals 113,562,353.5 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a troy ounce per cubic millimeter?
Troy ounce per Cubic Millimeter (oz t/mm3) is a unit of density.
Is the grain per cup to troy ounce per cubic millimeter conversion exact?
Yes. Both grain per cup and troy ounce per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 8.805735e-9 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.