Mass per volume density.
Troy ounce per Cubic inches to Grains per Cup Converter — oz t/in3 to gr/cup
Convert Troy ounce per Cubic inch (oz t/in3) to Grain per Cup (gr/cup) using the exact conversion factor (1 troy ounce per cubic inch = 6,930 grain per cup). See the formula, worked examples, and conversion table.
Troy ounce per Cubic inches to Grains 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 1898.050609 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounce per Cubic inches to Grains per Cup
Troy ounce per Cubic inch and Grain 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
grains per cup = troy ounce per cubic inches × 6930
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cubic inch equals 1898.0506087 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct troy ounce per cubic inch-to-grain per cup factor of 6930.
Simple example
1 oz t/in3 × 6930 = 6,930 gr/cup
1 troy ounce per cubic inch = 6,930 grains per cup.
Real-world example
1,000 oz t/in3 × 6930 = 6,930,000 gr/cup
1,000 troy ounce per cubic inches = 6,930,000 grains per cup.
Conversion table
| Troy ounce per Cubic inch (oz t/in3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 oz t/in3 | 693 gr/cup |
| 1 oz t/in3 | 6,930 gr/cup |
| 10 oz t/in3 | 69,300 gr/cup |
| 100 oz t/in3 | 693,000 gr/cup |
| 1,000 oz t/in3 | 6,930,000 gr/cup |
| 10,000 oz t/in3 | 69,300,000 gr/cup |
Reverse conversion: Grain per Cup to Troy ounce per Cubic inch
1 gr/cup × 0.0001443001443 = 0.0001443001 oz t/in3
1 grain per cup = 0.0001443001 troy ounce per cubic inches.
troy ounce per cubic inches = grains per cup × 0.0001443001443
For a page dedicated to this direction, see Grain per Cup to Troy ounce per Cubic inch.
Understanding the Troy ounce per Cubic inch (oz t/in3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 troy ounce per cubic inch?
1 troy ounce per cubic inch equals 6,930 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cubic inch to grain per cup?
Multiply the troy ounce per cubic inch value by 6930. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to troy ounce per cubic inch?
Use the reverse factor: 1 grain per cup equals 0.0001443001 troy ounce per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cubic inch?
Troy ounce per Cubic inch (oz t/in3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the troy ounce per cubic inch to grain per cup conversion exact?
Yes. Both troy ounce per cubic inch and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 6930 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.