Mass per volume density.
Grain per Cubic inches to Troy ounces per Cup Converter — gr/in3 to oz t/cup
Convert Grain per Cubic inch (gr/in3) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 grain per cubic inch = 0.030078125 troy ounce per cup). See the formula, worked examples, and conversion table.
Grain per Cubic inches 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 3.954272101 / 131.4667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Troy ounces per Cup
Grain per Cubic inch 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 = grain per cubic inches × 0.030078125
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 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 inch-to-troy ounce per cup factor of 0.030078125.
Simple example
1 gr/in3 × 0.030078125 = 0.030078125 oz t/cup
1 grain per cubic inch = 0.030078125 troy ounces per cup.
Real-world example
1,000 gr/in3 × 0.030078125 = 30.078125 oz t/cup
1,000 grain per cubic inches = 30.078125 troy ounces per cup.
Conversion table
| Grain per Cubic inch (gr/in3) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 gr/in3 | 0.0030078125 oz t/cup |
| 1 gr/in3 | 0.030078125 oz t/cup |
| 10 gr/in3 | 0.30078125 oz t/cup |
| 100 gr/in3 | 3.0078125 oz t/cup |
| 1,000 gr/in3 | 30.078125 oz t/cup |
| 10,000 gr/in3 | 300.78125 oz t/cup |
Reverse conversion: Troy ounce per Cup to Grain per Cubic inch
0.030078125 oz t/cup × 33.24675325 = 1 gr/in3
0.030078125 troy ounces per cup = 1 grain per cubic inch.
grain per cubic inches = troy ounces per cup × 33.2467532468
For a page dedicated to this direction, see Troy ounce per Cup to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
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 inch?
1 grain per cubic inch equals 0.030078125 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to troy ounce per cup?
Multiply the grain per cubic inch value by 0.030078125. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to grain per cubic inch?
Use the reverse factor: 1 troy ounce per cup equals 33.24675325 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) 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 inch to troy ounce per cup conversion exact?
Yes. Both grain per cubic inch and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.030078125 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.