Mass per volume density.
Grains per Cup to Milligram per Cubic inches Converter — gr/cup to mg/in3
Convert Grain per Cup (gr/cup) to Milligram per Cubic inch (mg/in3) using the exact conversion factor (1 grain per cup = 4.48823619 milligram per cubic inch). See the formula, worked examples, and conversion table.
Grains per Cup to Milligram 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 / 0.06102374409.
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 Milligram per Cubic inches
Grain per Cup and Milligram 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
milligram per cubic inches = grains per cup × 4.48823619048
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 milligram per cubic inch equals 0.0610237440947 base units, so dividing one by the other gives the direct grain per cup-to-milligram per cubic inch factor of 4.48823619048.
Simple example
1 gr/cup × 4.48823619 = 4.48823619 mg/in3
1 grain per cup = 4.48823619 milligram per cubic inches.
Real-world example
1,000 gr/cup × 4.48823619 = 4,488.23619 mg/in3
1,000 grains per cup = 4,488.23619 milligram per cubic inches.
Conversion table
| Grain per Cup (gr/cup) | Milligram per Cubic inch (mg/in3) |
|---|---|
| 0.1 gr/cup | 0.448823619 mg/in3 |
| 1 gr/cup | 4.48823619 mg/in3 |
| 10 gr/cup | 44.8823619 mg/in3 |
| 100 gr/cup | 448.823619 mg/in3 |
| 1,000 gr/cup | 4,488.23619 mg/in3 |
| 10,000 gr/cup | 44,882.3619 mg/in3 |
Reverse conversion: Milligram per Cubic inch to Grain per Cup
4.48823619 mg/in3 × 0.2228046737 = 0.9999999999 gr/cup
4.48823619 milligram per cubic inches = 0.9999999999 grains per cup.
grains per cup = milligram per cubic inches × 0.222804673721
For a page dedicated to this direction, see Milligram per Cubic inch to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Milligram per Cubic inch (mg/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligram per cubic inches are in 1 grain per cup?
1 grain per cup equals 4.48823619 milligram per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to milligram per cubic inch?
Multiply the grain per cup value by 4.48823619. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic inch back to grain per cup?
Use the reverse factor: 1 milligram per cubic inch equals 0.2228046737 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 milligram per cubic inch?
Milligram per Cubic inch (mg/in3) is a unit of density.
Is the grain per cup to milligram per cubic inch conversion exact?
Yes. Both grain per cup and milligram per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 4.48823619 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.