Mass per volume density.
Pounds per Cup to Grains per Cup Converter — lb/cup to gr/cup
Convert Pound per Cup (lb/cup) to Grain per Cup (gr/cup) using the exact conversion factor (1 pound per cup = 7,000 grain per cup). See the formula, worked examples, and conversion table.
Pounds per Cup to Grains per Cup 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 / 0.2738889767.
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 Cup
Pound per Cup and Grain per Cup 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 cup = pounds per cup × 7000
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 cup equals 0.273888976724 base units, so dividing one by the other gives the direct pound per cup-to-grain per cup factor of 7000.
Simple example
1 lb/cup × 7000 = 7,000 gr/cup
1 pound per cup = 7,000 grains per cup.
Real-world example
1,000 lb/cup × 7000 = 7,000,000 gr/cup
1,000 pounds per cup = 7,000,000 grains per cup.
Conversion table
| Pound per Cup (lb/cup) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 lb/cup | 700 gr/cup |
| 1 lb/cup | 7,000 gr/cup |
| 10 lb/cup | 70,000 gr/cup |
| 100 lb/cup | 700,000 gr/cup |
| 1,000 lb/cup | 7,000,000 gr/cup |
| 10,000 lb/cup | 70,000,000 gr/cup |
Reverse conversion: Grain per Cup to Pound per Cup
1 gr/cup × 0.0001428571429 = 0.0001428571 lb/cup
1 grain per cup = 0.0001428571 pounds per cup.
pounds per cup = grains per cup × 0.000142857142857
For a page dedicated to this direction, see Grain per Cup to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 pound per cup?
1 pound per cup equals 7,000 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to grain per cup?
Multiply the pound per cup value by 7000. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to pound per cup?
Use the reverse factor: 1 grain per cup equals 0.0001428571 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 cup?
Grain per Cup (gr/cup) is a unit of density.
Is the pound per cup to grain per cup conversion exact?
Yes. Both pound per cup and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 7000 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.