Mass per volume density.
Grains per Cup to Milligrams per Cubic Centimeter Converter — gr/cup to mg/cm3
Convert Grain per Cup (gr/cup) to Milligram per Cubic Centimeter (mg/cm3) using the exact conversion factor (1 grain per cup = 0.2738889767 milligram per cubic centimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Milligrams per Cubic Centimeter 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 / 1.
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 Milligrams per Cubic Centimeter
Grain per Cup and Milligram per Cubic Centimeter 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
milligrams per cubic centimeter = grains per cup × 0.273888976724
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 centimeter equals 1 base unit, so dividing one by the other gives the direct grain per cup-to-milligram per cubic centimeter factor of 0.273888976724.
Simple example
1 gr/cup × 0.2738889767 = 0.2738889767 mg/cm3
1 grain per cup = 0.2738889767 milligrams per cubic centimeter.
Real-world example
1,000 gr/cup × 0.2738889767 = 273.8889767 mg/cm3
1,000 grains per cup = 273.8889767 milligrams per cubic centimeter.
Conversion table
| Grain per Cup (gr/cup) | Milligram per Cubic Centimeter (mg/cm3) |
|---|---|
| 0.1 gr/cup | 0.0273888977 mg/cm3 |
| 1 gr/cup | 0.2738889767 mg/cm3 |
| 10 gr/cup | 2.738889767 mg/cm3 |
| 100 gr/cup | 27.38889767 mg/cm3 |
| 1,000 gr/cup | 273.8889767 mg/cm3 |
| 10,000 gr/cup | 2,738.889767 mg/cm3 |
Reverse conversion: Milligram per Cubic Centimeter to Grain per Cup
0.2738889767 mg/cm3 × 3.651114448 = 0.9999999999 gr/cup
0.2738889767 milligrams per cubic centimeter = 0.9999999999 grains per cup.
grains per cup = milligrams per cubic centimeter × 3.65111444776
For a page dedicated to this direction, see Milligram per Cubic Centimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Milligram per Cubic Centimeter (mg/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cubic centimeter are in 1 grain per cup?
1 grain per cup equals 0.2738889767 milligrams per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to milligram per cubic centimeter?
Multiply the grain per cup value by 0.2738889767. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic centimeter back to grain per cup?
Use the reverse factor: 1 milligram per cubic centimeter equals 3.651114448 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 centimeter?
Milligram per Cubic Centimeter (mg/cm3) is a unit of density.
Is the grain per cup to milligram per cubic centimeter conversion exact?
Yes. Both grain per cup and milligram per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.2738889767 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.