Mass per volume density.
Grain per Cubic inches to Slugs per Cubic foot Converter — gr/in3 to slug/ft3
Convert Grain per Cubic inch (gr/in3) to Slug per Cubic foot (slug/ft3) using the exact conversion factor (1 grain per cubic inch = 0.0076725546 slug per cubic foot). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Slugs per Cubic foot 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 3.954272101 / 515.3788184.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Slugs per Cubic foot
Grain per Cubic inch and Slug per Cubic foot 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 cubic foot = grain per cubic inches × 0.00767255455664
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 slug per cubic foot equals 515.378818393 base units, so dividing one by the other gives the direct grain per cubic inch-to-slug per cubic foot factor of 0.00767255455664.
Simple example
1 gr/in3 × 0.007672554557 = 0.0076725546 slug/ft3
1 grain per cubic inch = 0.0076725546 slugs per cubic foot.
Real-world example
1,000 gr/in3 × 0.007672554557 = 7.672554557 slug/ft3
1,000 grain per cubic inches = 7.672554557 slugs per cubic foot.
Conversion table
| Grain per Cubic inch (gr/in3) | Slug per Cubic foot (slug/ft3) |
|---|---|
| 0.1 gr/in3 | 0.0007672555 slug/ft3 |
| 1 gr/in3 | 0.0076725546 slug/ft3 |
| 10 gr/in3 | 0.0767255456 slug/ft3 |
| 100 gr/in3 | 0.7672554557 slug/ft3 |
| 1,000 gr/in3 | 7.672554557 slug/ft3 |
| 10,000 gr/in3 | 76.72554557 slug/ft3 |
Reverse conversion: Slug per Cubic foot to Grain per Cubic inch
0.0076725546 slug/ft3 × 130.3346874 = 1.000000006 gr/in3
0.0076725546 slugs per cubic foot = 1.000000006 grain per cubic inches.
grain per cubic inches = slugs per cubic foot × 130.334687439
For a page dedicated to this direction, see Slug per Cubic foot to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Slug per Cubic foot (slug/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per cubic foot are in 1 grain per cubic inch?
1 grain per cubic inch equals 0.0076725546 slugs per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to slug per cubic foot?
Multiply the grain per cubic inch value by 0.007672554557. The converter above does this instantly to whatever precision you set.
How do I convert slug per cubic foot back to grain per cubic inch?
Use the reverse factor: 1 slug per cubic foot equals 130.3346874 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a slug per cubic foot?
Slug per Cubic foot (slug/ft3) is a unit of density.
Is the grain per cubic inch to slug per cubic foot conversion exact?
Yes. Both grain per cubic inch and slug per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.007672554557 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.