Mass per volume density.
Carats per Cubic Meter to Grains per Cup Converter — ct/m3 to gr/cup
Convert Carat per Cubic Meter (ct/m3) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per cubic meter = 0.0007302229 grain per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Meter to Grains 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 0.0002 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Meter to Grains per Cup
Carat per Cubic Meter and Grain 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
grains per cup = carats per cubic meter × 0.000730222889552
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic meter equals 0.0002 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per cubic meter-to-grain per cup factor of 0.000730222889552.
Simple example
1 ct/m3 × 0.0007302228896 = 0.0007302229 gr/cup
1 carat per cubic meter = 0.0007302229 grains per cup.
Real-world example
1,000 ct/m3 × 0.0007302228896 = 0.7302228896 gr/cup
1,000 carats per cubic meter = 0.7302228896 grains per cup.
Conversion table
| Carat per Cubic Meter (ct/m3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/m3 | 0.0000730223 gr/cup |
| 1 ct/m3 | 0.0007302229 gr/cup |
| 10 ct/m3 | 0.0073022289 gr/cup |
| 100 ct/m3 | 0.073022289 gr/cup |
| 1,000 ct/m3 | 0.7302228896 gr/cup |
| 10,000 ct/m3 | 7.302228896 gr/cup |
Reverse conversion: Grain per Cup to Carat per Cubic Meter
0.0007302229 gr/cup × 1369.444884 = 1.000000014 ct/m3
0.0007302229 grains per cup = 1.000000014 carats per cubic meter.
carats per cubic meter = grains per cup × 1369.44488362
For a page dedicated to this direction, see Grain per Cup to Carat per Cubic Meter.
Understanding the Carat per Cubic Meter (ct/m3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 carat per cubic meter?
1 carat per cubic meter equals 0.0007302229 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic meter to grain per cup?
Multiply the carat per cubic meter value by 0.0007302228896. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per cubic meter?
Use the reverse factor: 1 grain per cup equals 1,369.444884 carats per cubic meter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic meter?
Carat per Cubic Meter (ct/m3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per cubic meter to grain per cup conversion exact?
Yes. Both carat per cubic meter and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0007302228896 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.