Mass per volume density.
Grains per Cubic foot to Slugs per Imperial gallon Converter — gr/ft3 to slug/imp gal
Convert Grain per Cubic foot (gr/ft3) to Slug per Imperial gallon (slug/imp gal) using the exact conversion factor (1 grain per cubic foot = 7.128356e-7 slug per imperial gallon). See the formula, worked examples, and conversion table.
Grains per Cubic foot 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 0.002288351911 / 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 Cubic foot to Slugs per Imperial gallon
Grain per Cubic foot 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 cubic foot × 7.128356e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic foot equals 0.00228835191057 base units, and 1 slug per imperial gallon equals 3210.20985885 base units, so dividing one by the other gives the direct grain per cubic foot-to-slug per imperial gallon factor of 7.128356e-7.
Simple example
1 gr/ft3 × 7.128356e-7 = 7.128356e-7 slug/imp gal
1 grain per cubic foot = 7.128356e-7 slugs per imperial gallon.
Real-world example
1,000 gr/ft3 × 7.128356e-7 = 0.0007128356 slug/imp gal
1,000 grains per cubic foot = 0.0007128356 slugs per imperial gallon.
Conversion table
| Grain per Cubic foot (gr/ft3) | Slug per Imperial gallon (slug/imp gal) |
|---|---|
| 0.1 gr/ft3 | 7.128356e-8 slug/imp gal |
| 1 gr/ft3 | 7.128356e-7 slug/imp gal |
| 10 gr/ft3 | 0.0000071284 slug/imp gal |
| 100 gr/ft3 | 0.0000712836 slug/imp gal |
| 1,000 gr/ft3 | 0.0007128356 slug/imp gal |
| 10,000 gr/ft3 | 0.0071283561 slug/imp gal |
Reverse conversion: Slug per Imperial gallon to Grain per Cubic foot
7.128356e-7 slug/imp gal × 1402847.982 = 0.9999999826 gr/ft3
7.128356e-7 slugs per imperial gallon = 0.9999999826 grains per cubic foot.
grains per cubic foot = slugs per imperial gallon × 1402847.98156
For a page dedicated to this direction, see Slug per Imperial gallon to Grain per Cubic foot.
Understanding the Grain per Cubic foot (gr/ft3)
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 cubic foot?
1 grain per cubic foot equals 7.128356e-7 slugs per imperial gallon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic foot to slug per imperial gallon?
Multiply the grain per cubic foot value by 7.128356e-7. The converter above does this instantly to whatever precision you set.
How do I convert slug per imperial gallon back to grain per cubic foot?
Use the reverse factor: 1 slug per imperial gallon equals 1,402,847.982 grains per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic foot?
Grain per Cubic foot (gr/ft3) 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 cubic foot to slug per imperial gallon conversion exact?
Yes. Both grain per cubic foot and slug per imperial gallon are defined by fixed standards rather than physical artifacts, so the factor of 7.128356e-7 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.