Mass per volume density.
Grains per Cubic Meter to Carats per Cubic foot Converter — gr/m3 to ct/ft3
Convert Grain per Cubic Meter (gr/m3) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 grain per cubic meter = 0.009174504 carat per cubic foot). See the formula, worked examples, and conversion table.
Grains per Cubic Meter to Carats 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 6.479891e-5 / 0.007062933344.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Meter to Carats per Cubic foot
Grain per Cubic Meter and Carat 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
carats per cubic foot = grains per cubic meter × 0.00917450396899
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic meter equals 0.00006479891 base units, and 1 carat per cubic foot equals 0.0070629333443 base units, so dividing one by the other gives the direct grain per cubic meter-to-carat per cubic foot factor of 0.00917450396899.
Simple example
1 gr/m3 × 0.009174503969 = 0.009174504 ct/ft3
1 grain per cubic meter = 0.009174504 carats per cubic foot.
Real-world example
1,000 gr/m3 × 0.009174503969 = 9.174503969 ct/ft3
1,000 grains per cubic meter = 9.174503969 carats per cubic foot.
Conversion table
| Grain per Cubic Meter (gr/m3) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 gr/m3 | 0.0009174504 ct/ft3 |
| 1 gr/m3 | 0.009174504 ct/ft3 |
| 10 gr/m3 | 0.0917450397 ct/ft3 |
| 100 gr/m3 | 0.9174503969 ct/ft3 |
| 1,000 gr/m3 | 9.174503969 ct/ft3 |
| 10,000 gr/m3 | 91.74503969 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Grain per Cubic Meter
0.009174504 ct/ft3 × 108.9977184 = 1.000000003 gr/m3
0.009174504 carats per cubic foot = 1.000000003 grains per cubic meter.
grains per cubic meter = carats per cubic foot × 108.997718392
For a page dedicated to this direction, see Carat per Cubic foot to Grain per Cubic Meter.
Understanding the Grain per Cubic Meter (gr/m3)
Mass per volume density.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic foot are in 1 grain per cubic meter?
1 grain per cubic meter equals 0.009174504 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic meter to carat per cubic foot?
Multiply the grain per cubic meter value by 0.009174503969. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to grain per cubic meter?
Use the reverse factor: 1 carat per cubic foot equals 108.9977184 grains per cubic meter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic meter?
Grain per Cubic Meter (gr/m3) is a unit of density.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
Is the grain per cubic meter to carat per cubic foot conversion exact?
Yes. Both grain per cubic meter and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.009174503969 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.