Mass per volume density.
Carat per Cubic inches to Grains per Cubic foot Converter — ct/in3 to gr/ft3
Convert Carat per Cubic inch (ct/in3) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 carat per cubic inch = 5,333.423047 grain per cubic foot). See the formula, worked examples, and conversion table.
Carat per Cubic inches 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 12.20474882 / 0.002288351911.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Grains per Cubic foot
Carat per Cubic inch 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 = carat per cubic inches × 5333.42304678
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 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 inch-to-grain per cubic foot factor of 5333.42304678.
Simple example
1 ct/in3 × 5333.423047 = 5,333.423047 gr/ft3
1 carat per cubic inch = 5,333.423047 grains per cubic foot.
Real-world example
1,000 ct/in3 × 5333.423047 = 5,333,423.047 gr/ft3
1,000 carat per cubic inches = 5,333,423.047 grains per cubic foot.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 ct/in3 | 533.3423047 gr/ft3 |
| 1 ct/in3 | 5,333.423047 gr/ft3 |
| 10 ct/in3 | 53,334.23047 gr/ft3 |
| 100 ct/in3 | 533,342.3047 gr/ft3 |
| 1,000 ct/in3 | 5,333,423.047 gr/ft3 |
| 10,000 ct/in3 | 53,334,230.47 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Carat per Cubic inch
1 gr/ft3 × 0.0001874968461 = 0.0001874968 ct/in3
1 grain per cubic foot = 0.0001874968 carat per cubic inches.
carat per cubic inches = grains per cubic foot × 0.000187496846065
For a page dedicated to this direction, see Grain per Cubic foot to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
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 inch?
1 carat per cubic inch equals 5,333.423047 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per cubic foot?
Multiply the carat per cubic inch value by 5333.423047. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to carat per cubic inch?
Use the reverse factor: 1 grain per cubic foot equals 0.0001874968 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) 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 inch to grain per cubic foot conversion exact?
Yes. Both carat per cubic inch and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 5333.423047 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.