Mass per volume density.
Grains per Cup to Slugs per Imperial gallon Converter — gr/cup to slug/imp gal
Convert Grain per Cup (gr/cup) to Slug per Imperial gallon (slug/imp gal) using the exact conversion factor (1 grain per cup = 0.0000853181 slug per imperial gallon). See the formula, worked examples, and conversion table.
Grains per Cup to Slugs per Imperial gallon 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 / 3210.209859.
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 Slugs per Imperial gallon
Grain per Cup and Slug per Imperial gallon 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
slugs per imperial gallon = grains per cup × 0.0000853180909558
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 slug per imperial gallon equals 3210.20985885 base units, so dividing one by the other gives the direct grain per cup-to-slug per imperial gallon factor of 0.0000853180909558.
Simple example
1 gr/cup × 0.00008531809096 = 0.0000853181 slug/imp gal
1 grain per cup = 0.0000853181 slugs per imperial gallon.
Real-world example
1,000 gr/cup × 0.00008531809096 = 0.085318091 slug/imp gal
1,000 grains per cup = 0.085318091 slugs per imperial gallon.
Conversion table
| Grain per Cup (gr/cup) | Slug per Imperial gallon (slug/imp gal) |
|---|---|
| 0.1 gr/cup | 0.0000085318 slug/imp gal |
| 1 gr/cup | 0.0000853181 slug/imp gal |
| 10 gr/cup | 0.0008531809 slug/imp gal |
| 100 gr/cup | 0.0085318091 slug/imp gal |
| 1,000 gr/cup | 0.085318091 slug/imp gal |
| 10,000 gr/cup | 0.8531809096 slug/imp gal |
Reverse conversion: Slug per Imperial gallon to Grain per Cup
0.0000853181 slug/imp gal × 11720.8436 = 1.000000106 gr/cup
0.0000853181 slugs per imperial gallon = 1.000000106 grains per cup.
grains per cup = slugs per imperial gallon × 11720.843596
For a page dedicated to this direction, see Slug per Imperial gallon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Slug per Imperial gallon (slug/imp gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per imperial gallon are in 1 grain per cup?
1 grain per cup equals 0.0000853181 slugs per imperial gallon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to slug per imperial gallon?
Multiply the grain per cup value by 0.00008531809096. The converter above does this instantly to whatever precision you set.
How do I convert slug per imperial gallon back to grain per cup?
Use the reverse factor: 1 slug per imperial gallon equals 11,720.8436 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 slug per imperial gallon?
Slug per Imperial gallon (slug/imp gal) is a unit of density.
Is the grain per cup to slug per imperial gallon conversion exact?
Yes. Both grain per cup and slug per imperial gallon are defined by fixed standards rather than physical artifacts, so the factor of 0.00008531809096 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.