Mass per volume density.
Carats per Cubic foot to Grains per Cubic Millimeter Converter — ct/ft3 to gr/mm3
Convert Carat per Cubic foot (ct/ft3) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 carat per cubic foot = 1.089977e-7 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Grains per Cubic Millimeter 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 / 64798.91.
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 Millimeter
Carat per Cubic foot and Grain per Cubic Millimeter 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 millimeter = carats per cubic foot × 1.089977e-7
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 millimeter equals 64798.91 base units, so dividing one by the other gives the direct carat per cubic foot-to-grain per cubic millimeter factor of 1.089977e-7.
Simple example
1 ct/ft3 × 1.089977e-7 = 1.089977e-7 gr/mm3
1 carat per cubic foot = 1.089977e-7 grains per cubic millimeter.
Real-world example
1,000 ct/ft3 × 1.089977e-7 = 0.0001089977 gr/mm3
1,000 carats per cubic foot = 0.0001089977 grains per cubic millimeter.
Conversion table
| Carat per Cubic foot (ct/ft3) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 ct/ft3 | 1.089977e-8 gr/mm3 |
| 1 ct/ft3 | 1.089977e-7 gr/mm3 |
| 10 ct/ft3 | 0.00000109 gr/mm3 |
| 100 ct/ft3 | 0.0000108998 gr/mm3 |
| 1,000 ct/ft3 | 0.0001089977 gr/mm3 |
| 10,000 ct/ft3 | 0.0010899772 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Carat per Cubic foot
1.089977e-7 gr/mm3 × 9174503.969 = 0.9999998313 ct/ft3
1.089977e-7 grains per cubic millimeter = 0.9999998313 carats per cubic foot.
carats per cubic foot = grains per cubic millimeter × 9174503.96899
For a page dedicated to this direction, see Grain per Cubic Millimeter to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 carat per cubic foot?
1 carat per cubic foot equals 1.089977e-7 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to grain per cubic millimeter?
Multiply the carat per cubic foot value by 1.089977e-7. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to carat per cubic foot?
Use the reverse factor: 1 grain per cubic millimeter equals 9,174,503.969 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 millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the carat per cubic foot to grain per cubic millimeter conversion exact?
Yes. Both carat per cubic foot and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 1.089977e-7 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.