Mass per volume density.
Carats per Cup to Megagrams per Cup Converter — ct/cup to Mg/cup
Convert Carat per Cup (ct/cup) to Megagram per Cup (Mg/cup) using the exact conversion factor (1 carat per cup = 2e-7 megagram per cup). See the formula, worked examples, and conversion table.
Carats per Cup to Megagrams 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 0.8453505675 / 4.22675284e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Megagrams per Cup
Carat per Cup and Megagram 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
megagrams per cup = carats per cup × 2e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 megagram per cup equals 4226752.83773 base units, so dividing one by the other gives the direct carat per cup-to-megagram per cup factor of 2e-7.
Simple example
1 ct/cup × 2e-7 = 2e-7 Mg/cup
1 carat per cup = 2e-7 megagrams per cup.
Real-world example
1,000 ct/cup × 2e-7 = 0.0002 Mg/cup
1,000 carats per cup = 0.0002 megagrams per cup.
Conversion table
| Carat per Cup (ct/cup) | Megagram per Cup (Mg/cup) |
|---|---|
| 0.1 ct/cup | 2e-8 Mg/cup |
| 1 ct/cup | 2e-7 Mg/cup |
| 10 ct/cup | 0.000002 Mg/cup |
| 100 ct/cup | 0.00002 Mg/cup |
| 1,000 ct/cup | 0.0002 Mg/cup |
| 10,000 ct/cup | 0.002 Mg/cup |
Reverse conversion: Megagram per Cup to Carat per Cup
2e-7 Mg/cup × 5000000 = 1 ct/cup
2e-7 megagrams per cup = 1 carats per cup.
carats per cup = megagrams per cup × 5000000
For a page dedicated to this direction, see Megagram per Cup to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Megagram 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 megagrams per cup are in 1 carat per cup?
1 carat per cup equals 2e-7 megagrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to megagram per cup?
Multiply the carat per cup value by 2e-7. The converter above does this instantly to whatever precision you set.
How do I convert megagram per cup back to carat per cup?
Use the reverse factor: 1 megagram per cup equals 5,000,000 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a megagram per cup?
Megagram per Cup (Mg/cup) is a unit of density.
Is the carat per cup to megagram per cup conversion exact?
Yes. Both carat per cup and megagram per cup are defined by fixed standards rather than physical artifacts, so the factor of 2e-7 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.