Mass per volume density.
Grains per Cup to Carats per Cubic Meter Converter — gr/cup to ct/m3
Convert Grain per Cup (gr/cup) to Carat per Cubic Meter (ct/m3) using the exact conversion factor (1 grain per cup = 1,369.444884 carat per cubic meter). See the formula, worked examples, and conversion table.
Grains 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 0.2738889767 / 0.0002.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Cubic Meter
Grain 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 = grains per cup × 1369.44488362
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per cubic meter equals 0.0002 base units, so dividing one by the other gives the direct grain per cup-to-carat per cubic meter factor of 1369.44488362.
Simple example
1 gr/cup × 1369.444884 = 1,369.444884 ct/m3
1 grain per cup = 1,369.444884 carats per cubic meter.
Real-world example
1,000 gr/cup × 1369.444884 = 1,369,444.884 ct/m3
1,000 grains per cup = 1,369,444.884 carats per cubic meter.
Conversion table
| Grain per Cup (gr/cup) | Carat per Cubic Meter (ct/m3) |
|---|---|
| 0.1 gr/cup | 136.9444884 ct/m3 |
| 1 gr/cup | 1,369.444884 ct/m3 |
| 10 gr/cup | 13,694.44884 ct/m3 |
| 100 gr/cup | 136,944.4884 ct/m3 |
| 1,000 gr/cup | 1,369,444.884 ct/m3 |
| 10,000 gr/cup | 13,694,448.84 ct/m3 |
Reverse conversion: Carat per Cubic Meter to Grain per Cup
1 ct/m3 × 0.0007302228896 = 0.0007302229 gr/cup
1 carat per cubic meter = 0.0007302229 grains per cup.
grains per cup = carats per cubic meter × 0.000730222889552
For a page dedicated to this direction, see Carat per Cubic Meter to Grain per Cup.
Understanding the Grain per Cup (gr/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 grain per cup?
1 grain per cup equals 1,369.444884 carats per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per cubic meter?
Multiply the grain per cup value by 1369.444884. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic meter back to grain per cup?
Use the reverse factor: 1 carat per cubic meter equals 0.0007302229 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/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 grain per cup to carat per cubic meter conversion exact?
Yes. Both grain per cup and carat per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 1369.444884 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.