Mass per volume density.
Carats per Cup to Slugs per Cup Converter — ct/cup to slug/cup
Convert Carat per Cup (ct/cup) to Slug per Cup (slug/cup) using the exact conversion factor (1 carat per cup = 0.0000137044 slug per cup). See the formula, worked examples, and conversion table.
Carats per Cup 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 0.8453505675 / 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 Cup to Slugs per Cup
Carat per Cup 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 cup × 0.0000137043531714
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 cup equals 61684.8206534 base units, so dividing one by the other gives the direct carat per cup-to-slug per cup factor of 0.0000137043531714.
Simple example
1 ct/cup × 0.00001370435317 = 0.0000137044 slug/cup
1 carat per cup = 0.0000137044 slugs per cup.
Real-world example
1,000 ct/cup × 0.00001370435317 = 0.0137043532 slug/cup
1,000 carats per cup = 0.0137043532 slugs per cup.
Conversion table
| Carat per Cup (ct/cup) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 ct/cup | 0.0000013704 slug/cup |
| 1 ct/cup | 0.0000137044 slug/cup |
| 10 ct/cup | 0.0001370435 slug/cup |
| 100 ct/cup | 0.0013704353 slug/cup |
| 1,000 ct/cup | 0.0137043532 slug/cup |
| 10,000 ct/cup | 0.1370435317 slug/cup |
Reverse conversion: Slug per Cup to Carat per Cup
0.0000137044 slug/cup × 72969.51469 = 1.000003417 ct/cup
0.0000137044 slugs per cup = 1.000003417 carats per cup.
carats per cup = slugs per cup × 72969.514686
For a page dedicated to this direction, see Slug per Cup to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
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 cup?
1 carat per cup equals 0.0000137044 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to slug per cup?
Multiply the carat per cup value by 0.00001370435317. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to carat per cup?
Use the reverse factor: 1 slug per cup equals 72,969.51469 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 cup?
Slug per Cup (slug/cup) is a unit of density.
Is the carat per cup to slug per cup conversion exact?
Yes. Both carat per cup and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00001370435317 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.