Mass per volume density.
Carats per Cubic foot to Grains per Cubic Meter Converter — ct/ft3 to gr/m3
Convert Carat per Cubic foot (ct/ft3) to Grain per Cubic Meter (gr/m3) using the exact conversion factor (1 carat per cubic foot = 108.9977184 grain per cubic meter). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Grains 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 0.007062933344 / 6.479891e-5.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic foot to Grains per Cubic Meter
Carat per Cubic foot and Grain 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
grains per cubic meter = carats per cubic foot × 108.997718392
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic foot equals 0.0070629333443 base units, and 1 grain per cubic meter equals 0.00006479891 base units, so dividing one by the other gives the direct carat per cubic foot-to-grain per cubic meter factor of 108.997718392.
Simple example
1 ct/ft3 × 108.9977184 = 108.9977184 gr/m3
1 carat per cubic foot = 108.9977184 grains per cubic meter.
Real-world example
1,000 ct/ft3 × 108.9977184 = 108,997.7184 gr/m3
1,000 carats per cubic foot = 108,997.7184 grains per cubic meter.
Conversion table
| Carat per Cubic foot (ct/ft3) | Grain per Cubic Meter (gr/m3) |
|---|---|
| 0.1 ct/ft3 | 10.89977184 gr/m3 |
| 1 ct/ft3 | 108.9977184 gr/m3 |
| 10 ct/ft3 | 1,089.977184 gr/m3 |
| 100 ct/ft3 | 10,899.77184 gr/m3 |
| 1,000 ct/ft3 | 108,997.7184 gr/m3 |
| 10,000 ct/ft3 | 1,089,977.184 gr/m3 |
Reverse conversion: Grain per Cubic Meter to Carat per Cubic foot
108.9977184 gr/m3 × 0.009174503969 = 1 ct/ft3
108.9977184 grains per cubic meter = 1 carats per cubic foot.
carats per cubic foot = grains per cubic meter × 0.00917450396899
For a page dedicated to this direction, see Grain per Cubic Meter to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Grain per Cubic Meter (gr/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic meter are in 1 carat per cubic foot?
1 carat per cubic foot equals 108.9977184 grains per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to grain per cubic meter?
Multiply the carat per cubic foot value by 108.9977184. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic meter back to carat per cubic foot?
Use the reverse factor: 1 grain per cubic meter equals 0.009174504 carats per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
What is a grain per cubic meter?
Grain per Cubic Meter (gr/m3) is a unit of density.
Is the carat per cubic foot to grain per cubic meter conversion exact?
Yes. Both carat per cubic foot and grain per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 108.9977184 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.