Mass per volume density.
Slugs per Cubic foot to Grains per Cubic Millimeter Converter — slug/ft3 to gr/mm3
Convert Slug per Cubic foot (slug/ft3) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 slug per cubic foot = 0.0079535106 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Slugs per Cubic foot to Grains per Cubic Millimeter 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 515.3788184 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Slugs per Cubic foot to Grains per Cubic Millimeter
Slug per Cubic foot and Grain per Cubic Millimeter 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 cubic millimeter = slugs per cubic foot × 0.00795351061296
This factor comes from each unit's defined relationship to the category's base unit: 1 slug per cubic foot equals 515.378818393 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct slug per cubic foot-to-grain per cubic millimeter factor of 0.00795351061296.
Simple example
1 slug/ft3 × 0.007953510613 = 0.0079535106 gr/mm3
1 slug per cubic foot = 0.0079535106 grains per cubic millimeter.
Real-world example
1,000 slug/ft3 × 0.007953510613 = 7.953510613 gr/mm3
1,000 slugs per cubic foot = 7.953510613 grains per cubic millimeter.
Conversion table
| Slug per Cubic foot (slug/ft3) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 slug/ft3 | 0.0007953511 gr/mm3 |
| 1 slug/ft3 | 0.0079535106 gr/mm3 |
| 10 slug/ft3 | 0.0795351061 gr/mm3 |
| 100 slug/ft3 | 0.7953510613 gr/mm3 |
| 1,000 slug/ft3 | 7.953510613 gr/mm3 |
| 10,000 slug/ft3 | 79.53510613 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Slug per Cubic foot
0.0079535106 gr/mm3 × 125.7306426 = 0.9999999984 slug/ft3
0.0079535106 grains per cubic millimeter = 0.9999999984 slugs per cubic foot.
slugs per cubic foot = grains per cubic millimeter × 125.730642563
For a page dedicated to this direction, see Grain per Cubic Millimeter to Slug per Cubic foot.
Understanding the Slug per Cubic foot (slug/ft3)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 slug per cubic foot?
1 slug per cubic foot equals 0.0079535106 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert slug per cubic foot to grain per cubic millimeter?
Multiply the slug per cubic foot value by 0.007953510613. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to slug per cubic foot?
Use the reverse factor: 1 grain per cubic millimeter equals 125.7306426 slugs per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a slug per cubic foot?
Slug per Cubic foot (slug/ft3) is a unit of density.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the slug per cubic foot to grain per cubic millimeter conversion exact?
Yes. Both slug per cubic foot and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.007953510613 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.