Mass per volume density.
Pounds per Imperial gallon to Grains per Cup Converter — lb/imp gal to gr/cup
Convert Pound per Imperial gallon (lb/imp gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 pound per imperial gallon = 364.2949558 grain per cup). See the formula, worked examples, and conversion table.
Pounds per Imperial gallon 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 99.77637266 / 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 Imperial gallon to Grains per Cup
Pound per Imperial gallon 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 imperial gallon × 364.294955775
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per imperial gallon equals 99.7763726631 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct pound per imperial gallon-to-grain per cup factor of 364.294955775.
Simple example
1 lb/imp gal × 364.2949558 = 364.2949558 gr/cup
1 pound per imperial gallon = 364.2949558 grains per cup.
Real-world example
1,000 lb/imp gal × 364.2949558 = 364,294.9558 gr/cup
1,000 pounds per imperial gallon = 364,294.9558 grains per cup.
Conversion table
| Pound per Imperial gallon (lb/imp gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 lb/imp gal | 36.42949558 gr/cup |
| 1 lb/imp gal | 364.2949558 gr/cup |
| 10 lb/imp gal | 3,642.949558 gr/cup |
| 100 lb/imp gal | 36,429.49558 gr/cup |
| 1,000 lb/imp gal | 364,294.9558 gr/cup |
| 10,000 lb/imp gal | 3,642,949.558 gr/cup |
Reverse conversion: Grain per Cup to Pound per Imperial gallon
364.2949558 gr/cup × 0.002745028401 = 1 lb/imp gal
364.2949558 grains per cup = 1 pounds per imperial gallon.
pounds per imperial gallon = grains per cup × 0.00274502840115
For a page dedicated to this direction, see Grain per Cup to Pound per Imperial gallon.
Understanding the Pound per Imperial gallon (lb/imp gal)
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 imperial gallon?
1 pound per imperial gallon equals 364.2949558 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per imperial gallon to grain per cup?
Multiply the pound per imperial gallon value by 364.2949558. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to pound per imperial gallon?
Use the reverse factor: 1 grain per cup equals 0.0027450284 pounds per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per imperial gallon?
Pound per Imperial gallon (lb/imp gal) 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 imperial gallon to grain per cup conversion exact?
Yes. Both pound per imperial gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 364.2949558 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.