Mass per volume density.
Grains per Cup to Pounds per Cubic Centimeter Converter — gr/cup to lb/cm3
Convert Grain per Cup (gr/cup) to Pound per Cubic Centimeter (lb/cm3) using the exact conversion factor (1 grain per cup = 6.038218e-7 pound per cubic centimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Pounds 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 / 453592.37.
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 Pounds per Cubic Centimeter
Grain per Cup and Pound 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
pounds per cubic centimeter = grains per cup × 6.038218e-7
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 pound per cubic centimeter equals 453592.37 base units, so dividing one by the other gives the direct grain per cup-to-pound per cubic centimeter factor of 6.038218e-7.
Simple example
1 gr/cup × 6.038218e-7 = 6.038218e-7 lb/cm3
1 grain per cup = 6.038218e-7 pounds per cubic centimeter.
Real-world example
1,000 gr/cup × 6.038218e-7 = 0.0006038218 lb/cm3
1,000 grains per cup = 0.0006038218 pounds per cubic centimeter.
Conversion table
| Grain per Cup (gr/cup) | Pound per Cubic Centimeter (lb/cm3) |
|---|---|
| 0.1 gr/cup | 6.038218e-8 lb/cm3 |
| 1 gr/cup | 6.038218e-7 lb/cm3 |
| 10 gr/cup | 0.0000060382 lb/cm3 |
| 100 gr/cup | 0.0000603822 lb/cm3 |
| 1,000 gr/cup | 0.0006038218 lb/cm3 |
| 10,000 gr/cup | 0.0060382183 lb/cm3 |
Reverse conversion: Pound per Cubic Centimeter to Grain per Cup
6.038218e-7 lb/cm3 × 1656117.656 = 0.9999999438 gr/cup
6.038218e-7 pounds per cubic centimeter = 0.9999999438 grains per cup.
grains per cup = pounds per cubic centimeter × 1656117.6555
For a page dedicated to this direction, see Pound per Cubic Centimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Pound per Cubic Centimeter (lb/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cubic centimeter are in 1 grain per cup?
1 grain per cup equals 6.038218e-7 pounds per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to pound per cubic centimeter?
Multiply the grain per cup value by 6.038218e-7. The converter above does this instantly to whatever precision you set.
How do I convert pound per cubic centimeter back to grain per cup?
Use the reverse factor: 1 pound per cubic centimeter equals 1,656,117.656 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 pound per cubic centimeter?
Pound per Cubic Centimeter (lb/cm3) is a unit of density.
Is the grain per cup to pound per cubic centimeter conversion exact?
Yes. Both grain per cup and pound per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 6.038218e-7 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.