Mass per volume density.
Ounce per Cubic inches to Grains per Cup Converter — oz/in3 to gr/cup
Convert Ounce per Cubic inch (oz/in3) to Grain per Cup (gr/cup) using the exact conversion factor (1 ounce per cubic inch = 6,316.40625 grain per cup). See the formula, worked examples, and conversion table.
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 1729.994044 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounce per Cubic inches to Grains per Cup
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 = ounce per cubic inches × 6316.40625
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cubic inch equals 1729.99404439 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct ounce per cubic inch-to-grain per cup factor of 6316.40625.
Simple example
1 oz/in3 × 6316.40625 = 6,316.40625 gr/cup
1 ounce per cubic inch = 6,316.40625 grains per cup.
Real-world example
1,000 oz/in3 × 6316.40625 = 6,316,406.25 gr/cup
1,000 ounce per cubic inches = 6,316,406.25 grains per cup.
Conversion table
| Ounce per Cubic inch (oz/in3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 oz/in3 | 631.640625 gr/cup |
| 1 oz/in3 | 6,316.40625 gr/cup |
| 10 oz/in3 | 63,164.0625 gr/cup |
| 100 oz/in3 | 631,640.625 gr/cup |
| 1,000 oz/in3 | 6,316,406.25 gr/cup |
| 10,000 oz/in3 | 63,164,062.5 gr/cup |
Reverse conversion: Grain per Cup to Ounce per Cubic inch
1 gr/cup × 0.0001583178726 = 0.0001583179 oz/in3
1 grain per cup = 0.0001583179 ounce per cubic inches.
ounce per cubic inches = grains per cup × 0.000158317872604
For a page dedicated to this direction, see Grain per Cup to Ounce per Cubic inch.
Understanding the Ounce per Cubic inch (oz/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 ounce per cubic inch?
1 ounce per cubic inch equals 6,316.40625 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cubic inch to grain per cup?
Multiply the ounce per cubic inch value by 6316.40625. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to ounce per cubic inch?
Use the reverse factor: 1 grain per cup equals 0.0001583179 ounce per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the ounce per cubic inch to grain per cup conversion exact?
Yes. Both ounce per cubic inch and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 6316.40625 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.