Mass per volume density.
Slugs per Cup to Carats per Cup Converter — slug/cup to ct/cup
Convert Slug per Cup (slug/cup) to Carat per Cup (ct/cup) using the exact conversion factor (1 slug per cup = 72,969.51469 carat per cup). See the formula, worked examples, and conversion table.
Slugs per Cup to Carats per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 61684.82065 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Slugs per Cup to Carats per Cup
Slug per Cup and Carat 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
carats per cup = slugs per cup × 72969.514686
This factor comes from each unit's defined relationship to the category's base unit: 1 slug per cup equals 61684.8206534 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct slug per cup-to-carat per cup factor of 72969.514686.
Simple example
1 slug/cup × 72969.51469 = 72,969.51469 ct/cup
1 slug per cup = 72,969.51469 carats per cup.
Real-world example
1,000 slug/cup × 72969.51469 = 72,969,514.69 ct/cup
1,000 slugs per cup = 72,969,514.69 carats per cup.
Conversion table
| Slug per Cup (slug/cup) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 slug/cup | 7,296.951469 ct/cup |
| 1 slug/cup | 72,969.51469 ct/cup |
| 10 slug/cup | 729,695.1469 ct/cup |
| 100 slug/cup | 7,296,951.469 ct/cup |
| 1,000 slug/cup | 72,969,514.69 ct/cup |
| 10,000 slug/cup | 729,695,146.9 ct/cup |
Reverse conversion: Carat per Cup to Slug per Cup
1 ct/cup × 0.00001370435317 = 0.0000137044 slug/cup
1 carat per cup = 0.0000137044 slugs per cup.
slugs per cup = carats per cup × 0.0000137043531714
For a page dedicated to this direction, see Carat per Cup to Slug per Cup.
Understanding the Slug per Cup (slug/cup)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 slug per cup?
1 slug per cup equals 72,969.51469 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert slug per cup to carat per cup?
Multiply the slug per cup value by 72969.51469. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to slug per cup?
Use the reverse factor: 1 carat per cup equals 0.0000137044 slugs per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a slug per cup?
Slug per Cup (slug/cup) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the slug per cup to carat per cup conversion exact?
Yes. Both slug per cup and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 72969.51469 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.