Mass per volume density.
Grams per Cup to Carats per Cubic Meter Converter — g/cup to ct/m3
Convert Gram per Cup (g/cup) to Carat per Cubic Meter (ct/m3) using the exact conversion factor (1 gram per cup = 21,133.76419 carat per cubic meter). See the formula, worked examples, and conversion table.
Grams per Cup to Carats per Cubic Meter 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 4.226752838 / 0.0002.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cup to Carats per Cubic Meter
Gram per Cup and Carat per Cubic Meter 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 cubic meter = grams per cup × 21133.7641887
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cup equals 4.22675283773 base units, and 1 carat per cubic meter equals 0.0002 base units, so dividing one by the other gives the direct gram per cup-to-carat per cubic meter factor of 21133.7641887.
Simple example
1 g/cup × 21133.76419 = 21,133.76419 ct/m3
1 gram per cup = 21,133.76419 carats per cubic meter.
Real-world example
1,000 g/cup × 21133.76419 = 21,133,764.19 ct/m3
1,000 grams per cup = 21,133,764.19 carats per cubic meter.
Conversion table
| Gram per Cup (g/cup) | Carat per Cubic Meter (ct/m3) |
|---|---|
| 0.1 g/cup | 2,113.376419 ct/m3 |
| 1 g/cup | 21,133.76419 ct/m3 |
| 10 g/cup | 211,337.6419 ct/m3 |
| 100 g/cup | 2,113,376.419 ct/m3 |
| 1,000 g/cup | 21,133,764.19 ct/m3 |
| 10,000 g/cup | 211,337,641.9 ct/m3 |
Reverse conversion: Carat per Cubic Meter to Gram per Cup
1 ct/m3 × 0.0000473176473 = 0.0000473176 g/cup
1 carat per cubic meter = 0.0000473176 grams per cup.
grams per cup = carats per cubic meter × 0.0000473176473
For a page dedicated to this direction, see Carat per Cubic Meter to Gram per Cup.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Understanding the Carat per Cubic Meter (ct/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic meter are in 1 gram per cup?
1 gram per cup equals 21,133.76419 carats per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cup to carat per cubic meter?
Multiply the gram per cup value by 21133.76419. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic meter back to gram per cup?
Use the reverse factor: 1 carat per cubic meter equals 0.0000473176 grams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cup?
Gram per Cup (g/cup) is a unit of density.
What is a carat per cubic meter?
Carat per Cubic Meter (ct/m3) is a unit of density.
Is the gram per cup to carat per cubic meter conversion exact?
Yes. Both gram per cup and carat per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 21133.76419 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.