Mass per volume density.
Grains per Cup to Ounce per Cubic inches Converter — gr/cup to oz/in3
Convert Grain per Cup (gr/cup) to Ounce per Cubic inch (oz/in3) using the exact conversion factor (1 grain per cup = 0.0001583179 ounce per cubic inch). See the formula, worked examples, and conversion table.
Grains per Cup to Ounce 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 0.2738889767 / 1729.994044.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Ounce per Cubic inches
Grain per Cup and Ounce 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
ounce per cubic inches = grains per cup × 0.000158317872604
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 ounce per cubic inch equals 1729.99404439 base units, so dividing one by the other gives the direct grain per cup-to-ounce per cubic inch factor of 0.000158317872604.
Simple example
1 gr/cup × 0.0001583178726 = 0.0001583179 oz/in3
1 grain per cup = 0.0001583179 ounce per cubic inches.
Real-world example
1,000 gr/cup × 0.0001583178726 = 0.1583178726 oz/in3
1,000 grains per cup = 0.1583178726 ounce per cubic inches.
Conversion table
| Grain per Cup (gr/cup) | Ounce per Cubic inch (oz/in3) |
|---|---|
| 0.1 gr/cup | 0.0000158318 oz/in3 |
| 1 gr/cup | 0.0001583179 oz/in3 |
| 10 gr/cup | 0.0015831787 oz/in3 |
| 100 gr/cup | 0.0158317873 oz/in3 |
| 1,000 gr/cup | 0.1583178726 oz/in3 |
| 10,000 gr/cup | 1.583178726 oz/in3 |
Reverse conversion: Ounce per Cubic inch to Grain per Cup
0.0001583179 oz/in3 × 6316.40625 = 1.000000173 gr/cup
0.0001583179 ounce per cubic inches = 1.000000173 grains per cup.
grains per cup = ounce per cubic inches × 6316.40625
For a page dedicated to this direction, see Ounce per Cubic inch to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Ounce per Cubic inch (oz/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounce per cubic inches are in 1 grain per cup?
1 grain per cup equals 0.0001583179 ounce per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to ounce per cubic inch?
Multiply the grain per cup value by 0.0001583178726. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic inch back to grain per cup?
Use the reverse factor: 1 ounce per cubic inch equals 6,316.40625 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
Is the grain per cup to ounce per cubic inch conversion exact?
Yes. Both grain per cup and ounce per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.0001583178726 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.