Mass per volume density.
Ounces per Cup to Grain per Cubic inches Converter — oz/cup to gr/in3
Convert Ounce per Cup (oz/cup) to Grain per Cubic inch (gr/in3) using the exact conversion factor (1 ounce per cup = 30.3030303 grain per cubic inch). See the formula, worked examples, and conversion table.
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 119.8264273 / 3.954272101.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounces per Cup to Grain per Cubic inches
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 = ounces per cup × 30.303030303
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cup equals 119.826427317 base units, and 1 grain per cubic inch equals 3.95427210146 base units, so dividing one by the other gives the direct ounce per cup-to-grain per cubic inch factor of 30.303030303.
Simple example
1 oz/cup × 30.3030303 = 30.3030303 gr/in3
1 ounce per cup = 30.3030303 grain per cubic inches.
Real-world example
1,000 oz/cup × 30.3030303 = 30,303.0303 gr/in3
1,000 ounces per cup = 30,303.0303 grain per cubic inches.
Conversion table
| Ounce per Cup (oz/cup) | Grain per Cubic inch (gr/in3) |
|---|---|
| 0.1 oz/cup | 3.03030303 gr/in3 |
| 1 oz/cup | 30.3030303 gr/in3 |
| 10 oz/cup | 303.030303 gr/in3 |
| 100 oz/cup | 3,030.30303 gr/in3 |
| 1,000 oz/cup | 30,303.0303 gr/in3 |
| 10,000 oz/cup | 303,030.303 gr/in3 |
Reverse conversion: Grain per Cubic inch to Ounce per Cup
30.3030303 gr/in3 × 0.033 = 0.9999999999 oz/cup
30.3030303 grain per cubic inches = 0.9999999999 ounces per cup.
ounces per cup = grain per cubic inches × 0.033
For a page dedicated to this direction, see Grain per Cubic inch to Ounce per Cup.
Understanding the Ounce per Cup (oz/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 ounce per cup?
1 ounce per cup equals 30.3030303 grain per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cup to grain per cubic inch?
Multiply the ounce per cup value by 30.3030303. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic inch back to ounce per cup?
Use the reverse factor: 1 grain per cubic inch equals 0.033 ounces per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cup?
Ounce per Cup (oz/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 ounce per cup to grain per cubic inch conversion exact?
Yes. Both ounce per cup and grain per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 30.3030303 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.