Mass per volume density.
Pounds per Cup to Grains per Cubic Millimeter Converter — lb/cup to gr/mm3
Convert Pound per Cup (lb/cup) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 pound per cup = 0.0295872699 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Pounds per Cup to Grains per Cubic Millimeter 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 1917.222837 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pounds per Cup to Grains per Cubic Millimeter
Pound per Cup and Grain per Cubic Millimeter 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 millimeter = pounds per cup × 0.0295872698641
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cup equals 1917.22283707 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct pound per cup-to-grain per cubic millimeter factor of 0.0295872698641.
Simple example
1 lb/cup × 0.02958726986 = 0.0295872699 gr/mm3
1 pound per cup = 0.0295872699 grains per cubic millimeter.
Real-world example
1,000 lb/cup × 0.02958726986 = 29.58726986 gr/mm3
1,000 pounds per cup = 29.58726986 grains per cubic millimeter.
Conversion table
| Pound per Cup (lb/cup) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 lb/cup | 0.002958727 gr/mm3 |
| 1 lb/cup | 0.0295872699 gr/mm3 |
| 10 lb/cup | 0.2958726986 gr/mm3 |
| 100 lb/cup | 2.958726986 gr/mm3 |
| 1,000 lb/cup | 29.58726986 gr/mm3 |
| 10,000 lb/cup | 295.8726986 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Pound per Cup
0.0295872699 gr/mm3 × 33.7983195 = 1.000000001 lb/cup
0.0295872699 grains per cubic millimeter = 1.000000001 pounds per cup.
pounds per cup = grains per cubic millimeter × 33.7983195
For a page dedicated to this direction, see Grain per Cubic Millimeter to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 pound per cup?
1 pound per cup equals 0.0295872699 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to grain per cubic millimeter?
Multiply the pound per cup value by 0.02958726986. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to pound per cup?
Use the reverse factor: 1 grain per cubic millimeter equals 33.7983195 pounds per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the pound per cup to grain per cubic millimeter conversion exact?
Yes. Both pound per cup and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.02958726986 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.