Mass per volume density.
Carats per Cubic Millimeter to Milligrams per Cup Converter — ct/mm3 to mg/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Milligram per Cup (mg/cup) using the exact conversion factor (1 carat per cubic millimeter = 47,317,647.3 milligram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Milligrams 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 200000 / 0.004226752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Milligrams per Cup
Carat per Cubic Millimeter and Milligram 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
milligrams per cup = carats per cubic millimeter × 47317647.3
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 milligram per cup equals 0.00422675283773 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-milligram per cup factor of 47317647.3.
Simple example
1 ct/mm3 × 47317647.3 = 47,317,647.3 mg/cup
1 carat per cubic millimeter = 47,317,647.3 milligrams per cup.
Real-world example
1,000 ct/mm3 × 47317647.3 = 47,317,647,300 mg/cup
1,000 carats per cubic millimeter = 47,317,647,300 milligrams per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Milligram per Cup (mg/cup) |
|---|---|
| 0.1 ct/mm3 | 4,731,764.73 mg/cup |
| 1 ct/mm3 | 47,317,647.3 mg/cup |
| 10 ct/mm3 | 473,176,473 mg/cup |
| 100 ct/mm3 | 4,731,764,730 mg/cup |
| 1,000 ct/mm3 | 47,317,647,300 mg/cup |
| 10,000 ct/mm3 | 473,176,473,000 mg/cup |
Reverse conversion: Milligram per Cup to Carat per Cubic Millimeter
1 mg/cup × 2.113376e-8 = 2.113376e-8 ct/mm3
1 milligram per cup = 2.113376e-8 carats per cubic millimeter.
carats per cubic millimeter = milligrams per cup × 2.113376e-8
For a page dedicated to this direction, see Milligram per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Milligram per Cup (mg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cup are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 47,317,647.3 milligrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to milligram per cup?
Multiply the carat per cubic millimeter value by 47317647.3. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cup back to carat per cubic millimeter?
Use the reverse factor: 1 milligram per cup equals 2.113376e-8 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a milligram per cup?
Milligram per Cup (mg/cup) is a unit of density.
Is the carat per cubic millimeter to milligram per cup conversion exact?
Yes. Both carat per cubic millimeter and milligram per cup are defined by fixed standards rather than physical artifacts, so the factor of 47317647.3 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.