Mass per volume density.
Troy ounces per Cup to Grain per Cubic inches Converter — oz t/cup to gr/in3
Convert Troy ounce per Cup (oz t/cup) to Grain per Cubic inch (gr/in3) using the exact conversion factor (1 troy ounce per cup = 33.24675325 grain per cubic inch). See the formula, worked examples, and conversion table.
Troy ounces per Cup to Grain per Cubic inches 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 / 3.954272101.
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 Grain per Cubic inches
Troy ounce per Cup and Grain per Cubic inch 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
grain per cubic inches = troy ounces per cup × 33.2467532468
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 inch equals 3.95427210146 base units, so dividing one by the other gives the direct troy ounce per cup-to-grain per cubic inch factor of 33.2467532468.
Simple example
1 oz t/cup × 33.24675325 = 33.24675325 gr/in3
1 troy ounce per cup = 33.24675325 grain per cubic inches.
Real-world example
1,000 oz t/cup × 33.24675325 = 33,246.75325 gr/in3
1,000 troy ounces per cup = 33,246.75325 grain per cubic inches.
Conversion table
| Troy ounce per Cup (oz t/cup) | Grain per Cubic inch (gr/in3) |
|---|---|
| 0.1 oz t/cup | 3.324675325 gr/in3 |
| 1 oz t/cup | 33.24675325 gr/in3 |
| 10 oz t/cup | 332.4675325 gr/in3 |
| 100 oz t/cup | 3,324.675325 gr/in3 |
| 1,000 oz t/cup | 33,246.75325 gr/in3 |
| 10,000 oz t/cup | 332,467.5325 gr/in3 |
Reverse conversion: Grain per Cubic inch to Troy ounce per Cup
33.24675325 gr/in3 × 0.030078125 = 1 oz t/cup
33.24675325 grain per cubic inches = 1 troy ounces per cup.
troy ounces per cup = grain per cubic inches × 0.030078125
For a page dedicated to this direction, see Grain per Cubic inch to Troy ounce per Cup.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grain per cubic inches are in 1 troy ounce per cup?
1 troy ounce per cup equals 33.24675325 grain per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cup to grain per cubic inch?
Multiply the troy ounce per cup value by 33.24675325. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic inch back to troy ounce per cup?
Use the reverse factor: 1 grain per cubic inch equals 0.030078125 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 inch?
Grain per Cubic inch (gr/in3) is a unit of density.
Is the troy ounce per cup to grain per cubic inch conversion exact?
Yes. Both troy ounce per cup and grain per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 33.24675325 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.