Mass per volume density.
Grains per Cup to Microgram per Cubic inches Converter — gr/cup to ug/in3
Convert Grain per Cup (gr/cup) to Microgram per Cubic inch (ug/in3) using the exact conversion factor (1 grain per cup = 4,488.23619 microgram per cubic inch). See the formula, worked examples, and conversion table.
Grains per Cup to Microgram 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 / 6.10237441e-5.
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 Microgram per Cubic inches
Grain per Cup and Microgram 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
microgram per cubic inches = grains per cup × 4488.23619048
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 microgram per cubic inch equals 0.0000610237440947 base units, so dividing one by the other gives the direct grain per cup-to-microgram per cubic inch factor of 4488.23619048.
Simple example
1 gr/cup × 4488.23619 = 4,488.23619 ug/in3
1 grain per cup = 4,488.23619 microgram per cubic inches.
Real-world example
1,000 gr/cup × 4488.23619 = 4,488,236.19 ug/in3
1,000 grains per cup = 4,488,236.19 microgram per cubic inches.
Conversion table
| Grain per Cup (gr/cup) | Microgram per Cubic inch (ug/in3) |
|---|---|
| 0.1 gr/cup | 448.823619 ug/in3 |
| 1 gr/cup | 4,488.23619 ug/in3 |
| 10 gr/cup | 44,882.3619 ug/in3 |
| 100 gr/cup | 448,823.619 ug/in3 |
| 1,000 gr/cup | 4,488,236.19 ug/in3 |
| 10,000 gr/cup | 44,882,361.9 ug/in3 |
Reverse conversion: Microgram per Cubic inch to Grain per Cup
1 ug/in3 × 0.0002228046737 = 0.0002228047 gr/cup
1 microgram per cubic inch = 0.0002228047 grains per cup.
grains per cup = microgram per cubic inches × 0.000222804673721
For a page dedicated to this direction, see Microgram per Cubic inch to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Microgram per Cubic inch (ug/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many microgram per cubic inches are in 1 grain per cup?
1 grain per cup equals 4,488.23619 microgram per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to microgram per cubic inch?
Multiply the grain per cup value by 4488.23619. The converter above does this instantly to whatever precision you set.
How do I convert microgram per cubic inch back to grain per cup?
Use the reverse factor: 1 microgram per cubic inch equals 0.0002228047 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 microgram per cubic inch?
Microgram per Cubic inch (ug/in3) is a unit of density.
Is the grain per cup to microgram per cubic inch conversion exact?
Yes. Both grain per cup and microgram per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 4488.23619 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.