Mass per volume density.
Troy ounces per Cup to Carat per Cubic inches Converter — oz t/cup to ct/in3
Convert Troy ounce per Cup (oz t/cup) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 troy ounce per cup = 10.77176686 carat per cubic inch). See the formula, worked examples, and conversion table.
Troy ounces per Cup to Carat 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 131.4667088 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Cup to Carat per Cubic inches
Troy ounce per Cup and Carat 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
carat per cubic inches = troy ounces per cup × 10.7717668571
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cup equals 131.466708828 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct troy ounce per cup-to-carat per cubic inch factor of 10.7717668571.
Simple example
1 oz t/cup × 10.77176686 = 10.77176686 ct/in3
1 troy ounce per cup = 10.77176686 carat per cubic inches.
Real-world example
1,000 oz t/cup × 10.77176686 = 10,771.76686 ct/in3
1,000 troy ounces per cup = 10,771.76686 carat per cubic inches.
Conversion table
| Troy ounce per Cup (oz t/cup) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 oz t/cup | 1.077176686 ct/in3 |
| 1 oz t/cup | 10.77176686 ct/in3 |
| 10 oz t/cup | 107.7176686 ct/in3 |
| 100 oz t/cup | 1,077.176686 ct/in3 |
| 1,000 oz t/cup | 10,771.76686 ct/in3 |
| 10,000 oz t/cup | 107,717.6686 ct/in3 |
Reverse conversion: Carat per Cubic inch to Troy ounce per Cup
10.77176686 ct/in3 × 0.09283528072 = 1 oz t/cup
10.77176686 carat per cubic inches = 1 troy ounces per cup.
troy ounces per cup = carat per cubic inches × 0.0928352807169
For a page dedicated to this direction, see Carat per Cubic inch to Troy ounce per Cup.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 troy ounce per cup?
1 troy ounce per cup equals 10.77176686 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cup to carat per cubic inch?
Multiply the troy ounce per cup value by 10.77176686. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to troy ounce per cup?
Use the reverse factor: 1 carat per cubic inch equals 0.0928352807 troy ounces per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the troy ounce per cup to carat per cubic inch conversion exact?
Yes. Both troy ounce per cup and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 10.77176686 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.