Mass per volume density.
Carats per Cup to Ounce per Cubic inches Converter — ct/cup to oz/in3
Convert Carat per Cup (ct/cup) to Ounce per Cubic inch (oz/in3) using the exact conversion factor (1 carat per cup = 0.0004886436 ounce per cubic inch). See the formula, worked examples, and conversion table.
Carats per Cup to Ounce per Cubic inches 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 / 1729.994044.
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 Ounce per Cubic inches
Carat per Cup and Ounce per Cubic inch 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
ounce per cubic inches = carats per cup × 0.000488643628739
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 ounce per cubic inch equals 1729.99404439 base units, so dividing one by the other gives the direct carat per cup-to-ounce per cubic inch factor of 0.000488643628739.
Simple example
1 ct/cup × 0.0004886436287 = 0.0004886436 oz/in3
1 carat per cup = 0.0004886436 ounce per cubic inches.
Real-world example
1,000 ct/cup × 0.0004886436287 = 0.4886436287 oz/in3
1,000 carats per cup = 0.4886436287 ounce per cubic inches.
Conversion table
| Carat per Cup (ct/cup) | Ounce per Cubic inch (oz/in3) |
|---|---|
| 0.1 ct/cup | 0.0000488644 oz/in3 |
| 1 ct/cup | 0.0004886436 oz/in3 |
| 10 ct/cup | 0.0048864363 oz/in3 |
| 100 ct/cup | 0.0488643629 oz/in3 |
| 1,000 ct/cup | 0.4886436287 oz/in3 |
| 10,000 ct/cup | 4.886436287 oz/in3 |
Reverse conversion: Ounce per Cubic inch to Carat per Cup
0.0004886436 oz/in3 × 2046.481201 = 0.9999999412 ct/cup
0.0004886436 ounce per cubic inches = 0.9999999412 carats per cup.
carats per cup = ounce per cubic inches × 2046.48120059
For a page dedicated to this direction, see Ounce per Cubic inch to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Ounce per Cubic inch (oz/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounce per cubic inches are in 1 carat per cup?
1 carat per cup equals 0.0004886436 ounce per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to ounce per cubic inch?
Multiply the carat per cup value by 0.0004886436287. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic inch back to carat per cup?
Use the reverse factor: 1 ounce per cubic inch equals 2,046.481201 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 ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
Is the carat per cup to ounce per cubic inch conversion exact?
Yes. Both carat per cup and ounce per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.0004886436287 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.