Mass per volume density.
Gram per Cubic inches to Grains per Cup Converter — g/in3 to gr/cup
Convert Gram per Cubic inch (g/in3) to Grain per Cup (gr/cup) using the exact conversion factor (1 gram per cubic inch = 222.8046737 grain per cup). See the formula, worked examples, and conversion table.
Gram 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 61.02374409 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Gram per Cubic inches to Grains per Cup
Gram 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 = gram per cubic inches × 222.804673721
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cubic inch equals 61.0237440947 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct gram per cubic inch-to-grain per cup factor of 222.804673721.
Simple example
1 g/in3 × 222.8046737 = 222.8046737 gr/cup
1 gram per cubic inch = 222.8046737 grains per cup.
Real-world example
1,000 g/in3 × 222.8046737 = 222,804.6737 gr/cup
1,000 gram per cubic inches = 222,804.6737 grains per cup.
Conversion table
| Gram per Cubic inch (g/in3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 g/in3 | 22.28046737 gr/cup |
| 1 g/in3 | 222.8046737 gr/cup |
| 10 g/in3 | 2,228.046737 gr/cup |
| 100 g/in3 | 22,280.46737 gr/cup |
| 1,000 g/in3 | 222,804.6737 gr/cup |
| 10,000 g/in3 | 2,228,046.737 gr/cup |
Reverse conversion: Grain per Cup to Gram per Cubic inch
222.8046737 gr/cup × 0.00448823619 = 0.9999999999 g/in3
222.8046737 grains per cup = 0.9999999999 gram per cubic inches.
gram per cubic inches = grains per cup × 0.00448823619048
For a page dedicated to this direction, see Grain per Cup to Gram per Cubic inch.
Understanding the Gram per Cubic inch (g/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 gram per cubic inch?
1 gram per cubic inch equals 222.8046737 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic inch to grain per cup?
Multiply the gram per cubic inch value by 222.8046737. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to gram per cubic inch?
Use the reverse factor: 1 grain per cup equals 0.0044882362 gram per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cubic inch?
Gram per Cubic inch (g/in3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the gram per cubic inch to grain per cup conversion exact?
Yes. Both gram per cubic inch and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 222.8046737 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.