Mass per volume density.
Carats per Cubic foot to Slugs per Cup Converter — ct/ft3 to slug/cup
Convert Carat per Cubic foot (ct/ft3) to Slug per Cup (slug/cup) using the exact conversion factor (1 carat per cubic foot = 1.145003e-7 slug per cup). See the formula, worked examples, and conversion table.
Carats 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 0.007062933344 / 61684.82065.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic foot to Slugs per Cup
Carat 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 = carats per cubic foot × 1.145003e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic foot equals 0.0070629333443 base units, and 1 slug per cup equals 61684.8206534 base units, so dividing one by the other gives the direct carat per cubic foot-to-slug per cup factor of 1.145003e-7.
Simple example
1 ct/ft3 × 1.145003e-7 = 1.145003e-7 slug/cup
1 carat per cubic foot = 1.145003e-7 slugs per cup.
Real-world example
1,000 ct/ft3 × 1.145003e-7 = 0.0001145003 slug/cup
1,000 carats per cubic foot = 0.0001145003 slugs per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 ct/ft3 | 1.145003e-8 slug/cup |
| 1 ct/ft3 | 1.145003e-7 slug/cup |
| 10 ct/ft3 | 0.000001145 slug/cup |
| 100 ct/ft3 | 0.00001145 slug/cup |
| 1,000 ct/ft3 | 0.0001145003 slug/cup |
| 10,000 ct/ft3 | 0.0011450035 slug/cup |
Reverse conversion: Slug per Cup to Carat per Cubic foot
1.145003e-7 slug/cup × 8733598.017 = 0.9999995931 ct/ft3
1.145003e-7 slugs per cup = 0.9999995931 carats per cubic foot.
carats per cubic foot = slugs per cup × 8733598.01748
For a page dedicated to this direction, see Slug per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/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 carat per cubic foot?
1 carat per cubic foot equals 1.145003e-7 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to slug per cup?
Multiply the carat per cubic foot value by 1.145003e-7. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to carat per cubic foot?
Use the reverse factor: 1 slug per cup equals 8,733,598.017 carats per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
What is a slug per cup?
Slug per Cup (slug/cup) is a unit of density.
Is the carat per cubic foot to slug per cup conversion exact?
Yes. Both carat per cubic foot and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.145003e-7 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.