Mass per volume density.
Carats per Cubic Millimeter to Slugs per Cubic foot Converter — ct/mm3 to slug/ft3
Convert Carat per Cubic Millimeter (ct/mm3) to Slug per Cubic foot (slug/ft3) using the exact conversion factor (1 carat per cubic millimeter = 388.0640664 slug per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter 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 200000 / 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 Cubic Millimeter to Slugs per Cubic foot
Carat per Cubic Millimeter 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 cubic millimeter × 388.064066396
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 slug per cubic foot equals 515.378818393 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-slug per cubic foot factor of 388.064066396.
Simple example
1 ct/mm3 × 388.0640664 = 388.0640664 slug/ft3
1 carat per cubic millimeter = 388.0640664 slugs per cubic foot.
Real-world example
1,000 ct/mm3 × 388.0640664 = 388,064.0664 slug/ft3
1,000 carats per cubic millimeter = 388,064.0664 slugs per cubic foot.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Slug per Cubic foot (slug/ft3) |
|---|---|
| 0.1 ct/mm3 | 38.80640664 slug/ft3 |
| 1 ct/mm3 | 388.0640664 slug/ft3 |
| 10 ct/mm3 | 3,880.640664 slug/ft3 |
| 100 ct/mm3 | 38,806.40664 slug/ft3 |
| 1,000 ct/mm3 | 388,064.0664 slug/ft3 |
| 10,000 ct/mm3 | 3,880,640.664 slug/ft3 |
Reverse conversion: Slug per Cubic foot to Carat per Cubic Millimeter
388.0640664 slug/ft3 × 0.002576894092 = 1 ct/mm3
388.0640664 slugs per cubic foot = 1 carats per cubic millimeter.
carats per cubic millimeter = slugs per cubic foot × 0.00257689409196
For a page dedicated to this direction, see Slug per Cubic foot to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
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 cubic millimeter?
1 carat per cubic millimeter equals 388.0640664 slugs per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to slug per cubic foot?
Multiply the carat per cubic millimeter value by 388.0640664. The converter above does this instantly to whatever precision you set.
How do I convert slug per cubic foot back to carat per cubic millimeter?
Use the reverse factor: 1 slug per cubic foot equals 0.0025768941 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) 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 cubic millimeter to slug per cubic foot conversion exact?
Yes. Both carat per cubic millimeter and slug per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 388.0640664 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.