Mass per volume density.
Slugs per Cup to Grains per Gallon Converter — slug/cup to gr/gal
Convert Slug per Cup (slug/cup) to Grain per Gallon (gr/gal) using the exact conversion factor (1 slug per cup = 3,603,493.438 grain per gallon). See the formula, worked examples, and conversion table.
Slugs per Cup to Grains per 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 61684.82065 / 0.01711806105.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Slugs per Cup to Grains per Gallon
Slug per Cup and Grain per 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
grains per gallon = slugs per cup × 3603493.43832
This factor comes from each unit's defined relationship to the category's base unit: 1 slug per cup equals 61684.8206534 base units, and 1 grain per gallon equals 0.0171180610453 base units, so dividing one by the other gives the direct slug per cup-to-grain per gallon factor of 3603493.43832.
Simple example
1 slug/cup × 3603493.438 = 3,603,493.438 gr/gal
1 slug per cup = 3,603,493.438 grains per gallon.
Real-world example
1,000 slug/cup × 3603493.438 = 3,603,493,438 gr/gal
1,000 slugs per cup = 3,603,493,438 grains per gallon.
Conversion table
| Slug per Cup (slug/cup) | Grain per Gallon (gr/gal) |
|---|---|
| 0.1 slug/cup | 360,349.3438 gr/gal |
| 1 slug/cup | 3,603,493.438 gr/gal |
| 10 slug/cup | 36,034,934.38 gr/gal |
| 100 slug/cup | 360,349,343.8 gr/gal |
| 1,000 slug/cup | 3,603,493,438 gr/gal |
| 10,000 slug/cup | 36,034,934,380 gr/gal |
Reverse conversion: Grain per Gallon to Slug per Cup
1 gr/gal × 2.775085e-7 = 2.775085e-7 slug/cup
1 grain per gallon = 2.775085e-7 slugs per cup.
slugs per cup = grains per gallon × 2.775085e-7
For a page dedicated to this direction, see Grain per Gallon to Slug per Cup.
Understanding the Slug per Cup (slug/cup)
Mass per volume density.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per gallon are in 1 slug per cup?
1 slug per cup equals 3,603,493.438 grains per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert slug per cup to grain per gallon?
Multiply the slug per cup value by 3603493.438. The converter above does this instantly to whatever precision you set.
How do I convert grain per gallon back to slug per cup?
Use the reverse factor: 1 grain per gallon equals 2.775085e-7 slugs per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a slug per cup?
Slug per Cup (slug/cup) is a unit of density.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
Is the slug per cup to grain per gallon conversion exact?
Yes. Both slug per cup and grain per gallon are defined by fixed standards rather than physical artifacts, so the factor of 3603493.438 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.