Mass per volume density.
Troy ounce per Cubic inches to Carats per Cup Converter — oz t/in3 to ct/cup
Convert Troy ounce per Cubic inch (oz t/in3) to Carat per Cup (ct/cup) using the exact conversion factor (1 troy ounce per cubic inch = 2,245.282231 carat per cup). See the formula, worked examples, and conversion table.
Troy 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 1898.050609 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounce per Cubic inches to Carats per Cup
Troy 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 = troy ounce per cubic inches × 2245.2822315
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cubic inch equals 1898.0506087 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct troy ounce per cubic inch-to-carat per cup factor of 2245.2822315.
Simple example
1 oz t/in3 × 2245.282231 = 2,245.282231 ct/cup
1 troy ounce per cubic inch = 2,245.282231 carats per cup.
Real-world example
1,000 oz t/in3 × 2245.282231 = 2,245,282.231 ct/cup
1,000 troy ounce per cubic inches = 2,245,282.231 carats per cup.
Conversion table
| Troy ounce per Cubic inch (oz t/in3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz t/in3 | 224.5282232 ct/cup |
| 1 oz t/in3 | 2,245.282231 ct/cup |
| 10 oz t/in3 | 22,452.82231 ct/cup |
| 100 oz t/in3 | 224,528.2232 ct/cup |
| 1,000 oz t/in3 | 2,245,282.231 ct/cup |
| 10,000 oz t/in3 | 22,452,822.31 ct/cup |
Reverse conversion: Carat per Cup to Troy ounce per Cubic inch
1 ct/cup × 0.0004453783074 = 0.0004453783 oz t/in3
1 carat per cup = 0.0004453783 troy ounce per cubic inches.
troy ounce per cubic inches = carats per cup × 0.000445378307444
For a page dedicated to this direction, see Carat per Cup to Troy ounce per Cubic inch.
Understanding the Troy ounce per Cubic inch (oz t/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 troy ounce per cubic inch?
1 troy ounce per cubic inch equals 2,245.282231 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cubic inch to carat per cup?
Multiply the troy ounce per cubic inch value by 2245.282231. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to troy ounce per cubic inch?
Use the reverse factor: 1 carat per cup equals 0.0004453783 troy ounce per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cubic inch?
Troy ounce per Cubic inch (oz t/in3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the troy ounce per cubic inch to carat per cup conversion exact?
Yes. Both troy ounce per cubic inch and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 2245.282231 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.