Mass per volume density.
Grains per Cup to Grains per Cubic Centimeter Converter — gr/cup to gr/cm3
Convert Grain per Cup (gr/cup) to Grain per Cubic Centimeter (gr/cm3) using the exact conversion factor (1 grain per cup = 0.0042267528 grain per cubic centimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Grains 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 / 64.79891.
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 Grains per Cubic Centimeter
Grain per Cup and Grain 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
grains per cubic centimeter = grains per cup × 0.00422675283773
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 grain per cubic centimeter equals 64.79891 base units, so dividing one by the other gives the direct grain per cup-to-grain per cubic centimeter factor of 0.00422675283773.
Simple example
1 gr/cup × 0.004226752838 = 0.0042267528 gr/cm3
1 grain per cup = 0.0042267528 grains per cubic centimeter.
Real-world example
1,000 gr/cup × 0.004226752838 = 4.226752838 gr/cm3
1,000 grains per cup = 4.226752838 grains per cubic centimeter.
Conversion table
| Grain per Cup (gr/cup) | Grain per Cubic Centimeter (gr/cm3) |
|---|---|
| 0.1 gr/cup | 0.0004226753 gr/cm3 |
| 1 gr/cup | 0.0042267528 gr/cm3 |
| 10 gr/cup | 0.0422675284 gr/cm3 |
| 100 gr/cup | 0.4226752838 gr/cm3 |
| 1,000 gr/cup | 4.226752838 gr/cm3 |
| 10,000 gr/cup | 42.26752838 gr/cm3 |
Reverse conversion: Grain per Cubic Centimeter to Grain per Cup
0.0042267528 gr/cm3 × 236.5882365 = 0.9999999911 gr/cup
0.0042267528 grains per cubic centimeter = 0.9999999911 grains per cup.
grains per cup = grains per cubic centimeter × 236.5882365
For a page dedicated to this direction, see Grain per Cubic Centimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Grain per Cubic Centimeter (gr/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic centimeter are in 1 grain per cup?
1 grain per cup equals 0.0042267528 grains per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to grain per cubic centimeter?
Multiply the grain per cup value by 0.004226752838. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic centimeter back to grain per cup?
Use the reverse factor: 1 grain per cubic centimeter equals 236.5882365 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 grain per cubic centimeter?
Grain per Cubic Centimeter (gr/cm3) is a unit of density.
Is the grain per cup to grain per cubic centimeter conversion exact?
Yes. Both grain per cup and grain per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.004226752838 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.