Mass per volume density.
Carats per Cup to Slugs per Milliliter Converter — ct/cup to slug/mL
Convert Carat per Cup (ct/cup) to Slug per Milliliter (slug/mL) using the exact conversion factor (1 carat per cup = 5.792491e-8 slug per milliliter). See the formula, worked examples, and conversion table.
Carats per Cup to Slugs per Milliliter 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 / 1.45939029e+7.
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 Milliliter
Carat per Cup and Slug per Milliliter 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 milliliter = carats per cup × 5.792491e-8
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 milliliter equals 14593902.9372 base units, so dividing one by the other gives the direct carat per cup-to-slug per milliliter factor of 5.792491e-8.
Simple example
1 ct/cup × 5.792491e-8 = 5.792491e-8 slug/mL
1 carat per cup = 5.792491e-8 slugs per milliliter.
Real-world example
1,000 ct/cup × 5.792491e-8 = 0.0000579249 slug/mL
1,000 carats per cup = 0.0000579249 slugs per milliliter.
Conversion table
| Carat per Cup (ct/cup) | Slug per Milliliter (slug/mL) |
|---|---|
| 0.1 ct/cup | 5.792491e-9 slug/mL |
| 1 ct/cup | 5.792491e-8 slug/mL |
| 10 ct/cup | 5.792491e-7 slug/mL |
| 100 ct/cup | 0.0000057925 slug/mL |
| 1,000 ct/cup | 0.0000579249 slug/mL |
| 10,000 ct/cup | 0.0005792491 slug/mL |
Reverse conversion: Slug per Milliliter to Carat per Cup
5.792491e-8 slug/mL × 17263728.8 = 0.9999999369 ct/cup
5.792491e-8 slugs per milliliter = 0.9999999369 carats per cup.
carats per cup = slugs per milliliter × 17263728.7978
For a page dedicated to this direction, see Slug per Milliliter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Slug per Milliliter (slug/mL)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per milliliter are in 1 carat per cup?
1 carat per cup equals 5.792491e-8 slugs per milliliter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to slug per milliliter?
Multiply the carat per cup value by 5.792491e-8. The converter above does this instantly to whatever precision you set.
How do I convert slug per milliliter back to carat per cup?
Use the reverse factor: 1 slug per milliliter equals 17,263,728.8 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 milliliter?
Slug per Milliliter (slug/mL) is a unit of density.
Is the carat per cup to slug per milliliter conversion exact?
Yes. Both carat per cup and slug per milliliter are defined by fixed standards rather than physical artifacts, so the factor of 5.792491e-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.