Mass per volume density.
Grains per Cup to Slugs per Cubic foot Converter — gr/cup to slug/ft3
Convert Grain per Cup (gr/cup) to Slug per Cubic foot (slug/ft3) using the exact conversion factor (1 grain per cup = 0.0005314324 slug per cubic foot). See the formula, worked examples, and conversion table.
Grains per Cup 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 0.2738889767 / 515.3788184.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Slugs per Cubic foot
Grain per Cup 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 = grains per cup × 0.000531432350244
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 slug per cubic foot equals 515.378818393 base units, so dividing one by the other gives the direct grain per cup-to-slug per cubic foot factor of 0.000531432350244.
Simple example
1 gr/cup × 0.0005314323502 = 0.0005314324 slug/ft3
1 grain per cup = 0.0005314324 slugs per cubic foot.
Real-world example
1,000 gr/cup × 0.0005314323502 = 0.5314323502 slug/ft3
1,000 grains per cup = 0.5314323502 slugs per cubic foot.
Conversion table
| Grain per Cup (gr/cup) | Slug per Cubic foot (slug/ft3) |
|---|---|
| 0.1 gr/cup | 0.0000531432 slug/ft3 |
| 1 gr/cup | 0.0005314324 slug/ft3 |
| 10 gr/cup | 0.0053143235 slug/ft3 |
| 100 gr/cup | 0.053143235 slug/ft3 |
| 1,000 gr/cup | 0.5314323502 slug/ft3 |
| 10,000 gr/cup | 5.314323502 slug/ft3 |
Reverse conversion: Slug per Cubic foot to Grain per Cup
0.0005314324 slug/ft3 × 1881.70705 = 1.000000094 gr/cup
0.0005314324 slugs per cubic foot = 1.000000094 grains per cup.
grains per cup = slugs per cubic foot × 1881.7070499
For a page dedicated to this direction, see Slug per Cubic foot to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
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 cup?
1 grain per cup equals 0.0005314324 slugs per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to slug per cubic foot?
Multiply the grain per cup value by 0.0005314323502. The converter above does this instantly to whatever precision you set.
How do I convert slug per cubic foot back to grain per cup?
Use the reverse factor: 1 slug per cubic foot equals 1,881.70705 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) 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 cup to slug per cubic foot conversion exact?
Yes. Both grain per cup and slug per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.0005314323502 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.