Mass per volume density.
Grains per Cubic foot to Slugs per Cup Converter — gr/ft3 to slug/cup
Convert Grain per Cubic foot (gr/ft3) to Slug per Cup (slug/cup) using the exact conversion factor (1 grain per cubic foot = 3.709749e-8 slug per cup). See the formula, worked examples, and conversion table.
Grains per Cubic foot to Slugs per Cup 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 / 61684.82065.
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 Cup
Grain per Cubic foot and Slug per Cup 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 cup = grains per cubic foot × 3.709749e-8
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 cup equals 61684.8206534 base units, so dividing one by the other gives the direct grain per cubic foot-to-slug per cup factor of 3.709749e-8.
Simple example
1 gr/ft3 × 3.709749e-8 = 3.709749e-8 slug/cup
1 grain per cubic foot = 3.709749e-8 slugs per cup.
Real-world example
1,000 gr/ft3 × 3.709749e-8 = 0.0000370975 slug/cup
1,000 grains per cubic foot = 0.0000370975 slugs per cup.
Conversion table
| Grain per Cubic foot (gr/ft3) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 gr/ft3 | 3.709749e-9 slug/cup |
| 1 gr/ft3 | 3.709749e-8 slug/cup |
| 10 gr/ft3 | 3.709749e-7 slug/cup |
| 100 gr/ft3 | 0.0000037097 slug/cup |
| 1,000 gr/ft3 | 0.0000370975 slug/cup |
| 10,000 gr/ft3 | 0.0003709749 slug/cup |
Reverse conversion: Slug per Cup to Grain per Cubic foot
3.709749e-8 slug/cup × 26956002.86 = 1.000000047 gr/ft3
3.709749e-8 slugs per cup = 1.000000047 grains per cubic foot.
grains per cubic foot = slugs per cup × 26956002.8633
For a page dedicated to this direction, see Slug per Cup to Grain per Cubic foot.
Understanding the Grain per Cubic foot (gr/ft3)
Mass per volume density.
Understanding the Slug per Cup (slug/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per cup are in 1 grain per cubic foot?
1 grain per cubic foot equals 3.709749e-8 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic foot to slug per cup?
Multiply the grain per cubic foot value by 3.709749e-8. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to grain per cubic foot?
Use the reverse factor: 1 slug per cup equals 26,956,002.86 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 cup?
Slug per Cup (slug/cup) is a unit of density.
Is the grain per cubic foot to slug per cup conversion exact?
Yes. Both grain per cubic foot and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 3.709749e-8 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.