Mass per volume density.
Carats per Cubic Centimeter to Grains per Cubic foot Converter — ct/cm3 to gr/ft3
Convert Carat per Cubic Centimeter (ct/cm3) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 carat per cubic centimeter = 87,399.14481 grain per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cubic Centimeter 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 200 / 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 Centimeter to Grains per Cubic foot
Carat per Cubic Centimeter 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 centimeter × 87399.1448066
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic centimeter equals 200 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 centimeter-to-grain per cubic foot factor of 87399.1448066.
Simple example
1 ct/cm3 × 87399.14481 = 87,399.14481 gr/ft3
1 carat per cubic centimeter = 87,399.14481 grains per cubic foot.
Real-world example
1,000 ct/cm3 × 87399.14481 = 87,399,144.81 gr/ft3
1,000 carats per cubic centimeter = 87,399,144.81 grains per cubic foot.
Conversion table
| Carat per Cubic Centimeter (ct/cm3) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 ct/cm3 | 8,739.914481 gr/ft3 |
| 1 ct/cm3 | 87,399.14481 gr/ft3 |
| 10 ct/cm3 | 873,991.4481 gr/ft3 |
| 100 ct/cm3 | 8,739,914.481 gr/ft3 |
| 1,000 ct/cm3 | 87,399,144.81 gr/ft3 |
| 10,000 ct/cm3 | 873,991,448.1 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Carat per Cubic Centimeter
1 gr/ft3 × 0.00001144175955 = 0.0000114418 ct/cm3
1 grain per cubic foot = 0.0000114418 carats per cubic centimeter.
carats per cubic centimeter = grains per cubic foot × 0.0000114417595528
For a page dedicated to this direction, see Grain per Cubic foot to Carat per Cubic Centimeter.
Understanding the Carat per Cubic Centimeter (ct/cm3)
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 centimeter?
1 carat per cubic centimeter equals 87,399.14481 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic centimeter to grain per cubic foot?
Multiply the carat per cubic centimeter value by 87399.14481. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to carat per cubic centimeter?
Use the reverse factor: 1 grain per cubic foot equals 0.0000114418 carats per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic centimeter?
Carat per Cubic Centimeter (ct/cm3) 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 centimeter to grain per cubic foot conversion exact?
Yes. Both carat per cubic centimeter and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 87399.14481 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.