Mass per volume density.
Carats per Cup to Slugs per Cubic foot Converter — ct/cup to slug/ft3
Convert Carat per Cup (ct/cup) to Slug per Cubic foot (slug/ft3) using the exact conversion factor (1 carat per cup = 0.0016402509 slug per cubic foot). See the formula, worked examples, and conversion table.
Carats 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 0.8453505675 / 515.3788184.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Slugs per Cubic foot
Carat 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 = carats per cup × 0.00164025089386
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 slug per cubic foot equals 515.378818393 base units, so dividing one by the other gives the direct carat per cup-to-slug per cubic foot factor of 0.00164025089386.
Simple example
1 ct/cup × 0.001640250894 = 0.0016402509 slug/ft3
1 carat per cup = 0.0016402509 slugs per cubic foot.
Real-world example
1,000 ct/cup × 0.001640250894 = 1.640250894 slug/ft3
1,000 carats per cup = 1.640250894 slugs per cubic foot.
Conversion table
| Carat per Cup (ct/cup) | Slug per Cubic foot (slug/ft3) |
|---|---|
| 0.1 ct/cup | 0.0001640251 slug/ft3 |
| 1 ct/cup | 0.0016402509 slug/ft3 |
| 10 ct/cup | 0.0164025089 slug/ft3 |
| 100 ct/cup | 0.1640250894 slug/ft3 |
| 1,000 ct/cup | 1.640250894 slug/ft3 |
| 10,000 ct/cup | 16.40250894 slug/ft3 |
Reverse conversion: Slug per Cubic foot to Carat per Cup
0.0016402509 slug/ft3 × 609.6628289 = 1.000000004 ct/cup
0.0016402509 slugs per cubic foot = 1.000000004 carats per cup.
carats per cup = slugs per cubic foot × 609.662828865
For a page dedicated to this direction, see Slug per Cubic foot to Carat per Cup.
Understanding the Carat per Cup (ct/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 carat per cup?
1 carat per cup equals 0.0016402509 slugs per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to slug per cubic foot?
Multiply the carat per cup value by 0.001640250894. The converter above does this instantly to whatever precision you set.
How do I convert slug per cubic foot back to carat per cup?
Use the reverse factor: 1 slug per cubic foot equals 609.6628289 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/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 carat per cup to slug per cubic foot conversion exact?
Yes. Both carat per cup and slug per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.001640250894 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.