Mass per volume density.
Troy ounces per Cubic Millimeter to Carats per Cup Converter — oz t/mm3 to ct/cup
Convert Troy ounce per Cubic Millimeter (oz t/mm3) to Carat per Cup (ct/cup) using the exact conversion factor (1 troy ounce per cubic millimeter = 36,793,583.63 carat per cup). See the formula, worked examples, and conversion table.
Troy ounces per Cubic Millimeter 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 3.11034768e+7 / 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 Cubic Millimeter to Carats per Cup
Troy ounce per Cubic Millimeter 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 cubic millimeter × 36793583.6257
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cubic millimeter equals 31103476.8 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 millimeter-to-carat per cup factor of 36793583.6257.
Simple example
1 oz t/mm3 × 36793583.63 = 36,793,583.63 ct/cup
1 troy ounce per cubic millimeter = 36,793,583.63 carats per cup.
Real-world example
1,000 oz t/mm3 × 36793583.63 = 36,793,583,630 ct/cup
1,000 troy ounces per cubic millimeter = 36,793,583,630 carats per cup.
Conversion table
| Troy ounce per Cubic Millimeter (oz t/mm3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz t/mm3 | 3,679,358.363 ct/cup |
| 1 oz t/mm3 | 36,793,583.63 ct/cup |
| 10 oz t/mm3 | 367,935,836.3 ct/cup |
| 100 oz t/mm3 | 3,679,358,363 ct/cup |
| 1,000 oz t/mm3 | 36,793,583,630 ct/cup |
| 10,000 oz t/mm3 | 367,935,836,300 ct/cup |
Reverse conversion: Carat per Cup to Troy ounce per Cubic Millimeter
1 ct/cup × 2.717865e-8 = 2.717865e-8 oz t/mm3
1 carat per cup = 2.717865e-8 troy ounces per cubic millimeter.
troy ounces per cubic millimeter = carats per cup × 2.717865e-8
For a page dedicated to this direction, see Carat per Cup to Troy ounce per Cubic Millimeter.
Understanding the Troy ounce per Cubic Millimeter (oz t/mm3)
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 millimeter?
1 troy ounce per cubic millimeter equals 36,793,583.63 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cubic millimeter to carat per cup?
Multiply the troy ounce per cubic millimeter value by 36793583.63. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to troy ounce per cubic millimeter?
Use the reverse factor: 1 carat per cup equals 2.717865e-8 troy ounces per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cubic millimeter?
Troy ounce per Cubic Millimeter (oz t/mm3) 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 millimeter to carat per cup conversion exact?
Yes. Both troy ounce per cubic millimeter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 36793583.63 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.