Mass per volume density.
Ounce per Cubic inches to Carats per Cup Converter — oz/in3 to ct/cup
Convert Ounce per Cubic inch (oz/in3) to Carat per Cup (ct/cup) using the exact conversion factor (1 ounce per cubic inch = 2,046.481201 carat per cup). See the formula, worked examples, and conversion table.
Ounce per Cubic inches 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 1729.994044 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounce per Cubic inches to Carats per Cup
Ounce per Cubic inch 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 = ounce per cubic inches × 2046.48120059
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cubic inch equals 1729.99404439 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct ounce per cubic inch-to-carat per cup factor of 2046.48120059.
Simple example
1 oz/in3 × 2046.481201 = 2,046.481201 ct/cup
1 ounce per cubic inch = 2,046.481201 carats per cup.
Real-world example
1,000 oz/in3 × 2046.481201 = 2,046,481.201 ct/cup
1,000 ounce per cubic inches = 2,046,481.201 carats per cup.
Conversion table
| Ounce per Cubic inch (oz/in3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz/in3 | 204.6481201 ct/cup |
| 1 oz/in3 | 2,046.481201 ct/cup |
| 10 oz/in3 | 20,464.81201 ct/cup |
| 100 oz/in3 | 204,648.1201 ct/cup |
| 1,000 oz/in3 | 2,046,481.201 ct/cup |
| 10,000 oz/in3 | 20,464,812.01 ct/cup |
Reverse conversion: Carat per Cup to Ounce per Cubic inch
1 ct/cup × 0.0004886436287 = 0.0004886436 oz/in3
1 carat per cup = 0.0004886436 ounce per cubic inches.
ounce per cubic inches = carats per cup × 0.000488643628739
For a page dedicated to this direction, see Carat per Cup to Ounce per Cubic inch.
Understanding the Ounce per Cubic inch (oz/in3)
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 cubic inch?
1 ounce per cubic inch equals 2,046.481201 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cubic inch to carat per cup?
Multiply the ounce per cubic inch value by 2046.481201. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to ounce per cubic inch?
Use the reverse factor: 1 carat per cup equals 0.0004886436 ounce per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cubic inch?
Ounce per Cubic inch (oz/in3) 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 cubic inch to carat per cup conversion exact?
Yes. Both ounce per cubic inch and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 2046.481201 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.