Mass per volume density.
Carats per Cubic Meter to Grains per Cubic foot Converter — ct/m3 to gr/ft3
Convert Carat per Cubic Meter (ct/m3) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 carat per cubic meter = 0.0873991448 grain per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cubic Meter to Grains per Cubic foot 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 / 0.002288351911.
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 Cubic foot
Carat per Cubic Meter and Grain per Cubic foot 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 cubic foot = carats per cubic meter × 0.0873991448066
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 cubic foot equals 0.00228835191057 base units, so dividing one by the other gives the direct carat per cubic meter-to-grain per cubic foot factor of 0.0873991448066.
Simple example
1 ct/m3 × 0.08739914481 = 0.0873991448 gr/ft3
1 carat per cubic meter = 0.0873991448 grains per cubic foot.
Real-world example
1,000 ct/m3 × 0.08739914481 = 87.39914481 gr/ft3
1,000 carats per cubic meter = 87.39914481 grains per cubic foot.
Conversion table
| Carat per Cubic Meter (ct/m3) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 ct/m3 | 0.0087399145 gr/ft3 |
| 1 ct/m3 | 0.0873991448 gr/ft3 |
| 10 ct/m3 | 0.8739914481 gr/ft3 |
| 100 ct/m3 | 8.739914481 gr/ft3 |
| 1,000 ct/m3 | 87.39914481 gr/ft3 |
| 10,000 ct/m3 | 873.9914481 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Carat per Cubic Meter
0.0873991448 gr/ft3 × 11.44175955 = 0.9999999999 ct/m3
0.0873991448 grains per cubic foot = 0.9999999999 carats per cubic meter.
carats per cubic meter = grains per cubic foot × 11.4417595528
For a page dedicated to this direction, see Grain per Cubic foot to Carat per Cubic Meter.
Understanding the Carat per Cubic Meter (ct/m3)
Mass per volume density.
Understanding the Grain per Cubic foot (gr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic foot are in 1 carat per cubic meter?
1 carat per cubic meter equals 0.0873991448 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic meter to grain per cubic foot?
Multiply the carat per cubic meter value by 0.08739914481. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to carat per cubic meter?
Use the reverse factor: 1 grain per cubic foot equals 11.44175955 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 cubic foot?
Grain per Cubic foot (gr/ft3) is a unit of density.
Is the carat per cubic meter to grain per cubic foot conversion exact?
Yes. Both carat per cubic meter and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.08739914481 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.