Mass per volume density.
Grain per Cubic inches to Grains per Cup Converter — gr/in3 to gr/cup
Convert Grain per Cubic inch (gr/in3) to Grain per Cup (gr/cup) using the exact conversion factor (1 grain per cubic inch = 14.4375 grain per cup). See the formula, worked examples, and conversion table.
Grain 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 3.954272101 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Grains per Cup
Grain 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 = grain per cubic inches × 14.4375
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct grain per cubic inch-to-grain per cup factor of 14.4375.
Simple example
1 gr/in3 × 14.4375 = 14.4375 gr/cup
1 grain per cubic inch = 14.4375 grains per cup.
Real-world example
1,000 gr/in3 × 14.4375 = 14,437.5 gr/cup
1,000 grain per cubic inches = 14,437.5 grains per cup.
Conversion table
| Grain per Cubic inch (gr/in3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 gr/in3 | 1.44375 gr/cup |
| 1 gr/in3 | 14.4375 gr/cup |
| 10 gr/in3 | 144.375 gr/cup |
| 100 gr/in3 | 1,443.75 gr/cup |
| 1,000 gr/in3 | 14,437.5 gr/cup |
| 10,000 gr/in3 | 144,375 gr/cup |
Reverse conversion: Grain per Cup to Grain per Cubic inch
14.4375 gr/cup × 0.06926406926 = 1 gr/in3
14.4375 grains per cup = 1 grain per cubic inches.
grain per cubic inches = grains per cup × 0.0692640692641
For a page dedicated to this direction, see Grain per Cup to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/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 grain per cubic inch?
1 grain per cubic inch equals 14.4375 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to grain per cup?
Multiply the grain per cubic inch value by 14.4375. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to grain per cubic inch?
Use the reverse factor: 1 grain per cup equals 0.0692640693 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the grain per cubic inch to grain per cup conversion exact?
Yes. Both grain per cubic inch and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 14.4375 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.