Mass per volume density.
Troy ounces per Quart to Carats per Cup Converter — oz t/qt to ct/cup
Convert Troy ounce per Quart (oz t/qt) to Carat per Cup (ct/cup) using the exact conversion factor (1 troy ounce per quart = 38.879346 carat per cup). See the formula, worked examples, and conversion table.
Troy ounces per Quart 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 32.86667721 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Quart to Carats per Cup
Troy ounce per Quart 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 ounces per quart × 38.879346
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per quart equals 32.8666772069 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct troy ounce per quart-to-carat per cup factor of 38.879346.
Simple example
1 oz t/qt × 38.879346 = 38.879346 ct/cup
1 troy ounce per quart = 38.879346 carats per cup.
Real-world example
1,000 oz t/qt × 38.879346 = 38,879.346 ct/cup
1,000 troy ounces per quart = 38,879.346 carats per cup.
Conversion table
| Troy ounce per Quart (oz t/qt) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz t/qt | 3.8879346 ct/cup |
| 1 oz t/qt | 38.879346 ct/cup |
| 10 oz t/qt | 388.79346 ct/cup |
| 100 oz t/qt | 3,887.9346 ct/cup |
| 1,000 oz t/qt | 38,879.346 ct/cup |
| 10,000 oz t/qt | 388,793.46 ct/cup |
Reverse conversion: Carat per Cup to Troy ounce per Quart
38.879346 ct/cup × 0.02572059725 = 1 oz t/qt
38.879346 carats per cup = 1 troy ounce per quart.
troy ounces per quart = carats per cup × 0.0257205972549
For a page dedicated to this direction, see Carat per Cup to Troy ounce per Quart.
Understanding the Troy ounce per Quart (oz t/qt)
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 quart?
1 troy ounce per quart equals 38.879346 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per quart to carat per cup?
Multiply the troy ounce per quart value by 38.879346. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to troy ounce per quart?
Use the reverse factor: 1 carat per cup equals 0.0257205973 troy ounces per quart. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per quart?
Troy ounce per Quart (oz t/qt) 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 quart to carat per cup conversion exact?
Yes. Both troy ounce per quart and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 38.879346 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.