Mass per volume density.
Ounces per Pint to Carats per Cup Converter — oz/pt to ct/cup
Convert Ounce per Pint (oz/pt) to Carat per Cup (ct/cup) using the exact conversion factor (1 ounce per pint = 70.87380781 carat per cup). See the formula, worked examples, and conversion table.
Ounces per Pint to Carats 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 59.91321366 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounces per Pint to Carats per Cup
Ounce per Pint 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 = ounces per pint × 70.8738078125
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per pint equals 59.9132136584 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct ounce per pint-to-carat per cup factor of 70.8738078125.
Simple example
1 oz/pt × 70.87380781 = 70.87380781 ct/cup
1 ounce per pint = 70.87380781 carats per cup.
Real-world example
1,000 oz/pt × 70.87380781 = 70,873.80781 ct/cup
1,000 ounces per pint = 70,873.80781 carats per cup.
Conversion table
| Ounce per Pint (oz/pt) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz/pt | 7.087380781 ct/cup |
| 1 oz/pt | 70.87380781 ct/cup |
| 10 oz/pt | 708.7380781 ct/cup |
| 100 oz/pt | 7,087.380781 ct/cup |
| 1,000 oz/pt | 70,873.80781 ct/cup |
| 10,000 oz/pt | 708,738.0781 ct/cup |
Reverse conversion: Carat per Cup to Ounce per Pint
70.87380781 ct/cup × 0.01410958478 = 1 oz/pt
70.87380781 carats per cup = 1 ounces per pint.
ounces per pint = carats per cup × 0.0141095847798
For a page dedicated to this direction, see Carat per Cup to Ounce per Pint.
Understanding the Ounce per Pint (oz/pt)
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 ounce per pint?
1 ounce per pint equals 70.87380781 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per pint to carat per cup?
Multiply the ounce per pint value by 70.87380781. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to ounce per pint?
Use the reverse factor: 1 carat per cup equals 0.0141095848 ounces per pint. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per pint?
Ounce per Pint (oz/pt) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the ounce per pint to carat per cup conversion exact?
Yes. Both ounce per pint and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 70.87380781 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.