Mass per volume density.
Stones per Imperial gallon to Grains per Cup Converter — st/imp gal to gr/cup
Convert Stone per Imperial gallon (st/imp gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 stone per imperial gallon = 5,100.129381 grain per cup). See the formula, worked examples, and conversion table.
Stones 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 1396.869217 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Stones per Imperial gallon to Grains per Cup
Stone 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 = stones per imperial gallon × 5100.12938085
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per imperial gallon equals 1396.86921728 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct stone per imperial gallon-to-grain per cup factor of 5100.12938085.
Simple example
1 st/imp gal × 5100.129381 = 5,100.129381 gr/cup
1 stone per imperial gallon = 5,100.129381 grains per cup.
Real-world example
1,000 st/imp gal × 5100.129381 = 5,100,129.381 gr/cup
1,000 stones per imperial gallon = 5,100,129.381 grains per cup.
Conversion table
| Stone per Imperial gallon (st/imp gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 st/imp gal | 510.0129381 gr/cup |
| 1 st/imp gal | 5,100.129381 gr/cup |
| 10 st/imp gal | 51,001.29381 gr/cup |
| 100 st/imp gal | 510,012.9381 gr/cup |
| 1,000 st/imp gal | 5,100,129.381 gr/cup |
| 10,000 st/imp gal | 51,001,293.81 gr/cup |
Reverse conversion: Grain per Cup to Stone per Imperial gallon
1 gr/cup × 0.0001960734572 = 0.0001960735 st/imp gal
1 grain per cup = 0.0001960735 stones per imperial gallon.
stones per imperial gallon = grains per cup × 0.000196073457225
For a page dedicated to this direction, see Grain per Cup to Stone per Imperial gallon.
Understanding the Stone per Imperial gallon (st/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 stone per imperial gallon?
1 stone per imperial gallon equals 5,100.129381 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per imperial gallon to grain per cup?
Multiply the stone per imperial gallon value by 5100.129381. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to stone per imperial gallon?
Use the reverse factor: 1 grain per cup equals 0.0001960735 stones per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per imperial gallon?
Stone per Imperial gallon (st/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 stone per imperial gallon to grain per cup conversion exact?
Yes. Both stone per imperial gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 5100.129381 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.