Mass per volume density.
Gram per Cubic inches to Carats per Cubic foot Converter — g/in3 to ct/ft3
Convert Gram per Cubic inch (g/in3) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 gram per cubic inch = 8,640 carat per cubic foot). See the formula, worked examples, and conversion table.
Gram per Cubic inches 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 61.02374409 / 0.007062933344.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Gram per Cubic inches to Carats per Cubic foot
Gram per Cubic inch 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 = gram per cubic inches × 8640
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cubic inch equals 61.0237440947 base units, and 1 carat per cubic foot equals 0.0070629333443 base units, so dividing one by the other gives the direct gram per cubic inch-to-carat per cubic foot factor of 8640.
Simple example
1 g/in3 × 8640 = 8,640 ct/ft3
1 gram per cubic inch = 8,640 carats per cubic foot.
Real-world example
1,000 g/in3 × 8640 = 8,640,000 ct/ft3
1,000 gram per cubic inches = 8,640,000 carats per cubic foot.
Conversion table
| Gram per Cubic inch (g/in3) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 g/in3 | 864 ct/ft3 |
| 1 g/in3 | 8,640 ct/ft3 |
| 10 g/in3 | 86,400 ct/ft3 |
| 100 g/in3 | 864,000 ct/ft3 |
| 1,000 g/in3 | 8,640,000 ct/ft3 |
| 10,000 g/in3 | 86,400,000 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Gram per Cubic inch
1 ct/ft3 × 0.0001157407407 = 0.0001157407 g/in3
1 carat per cubic foot = 0.0001157407 gram per cubic inches.
gram per cubic inches = carats per cubic foot × 0.000115740740741
For a page dedicated to this direction, see Carat per Cubic foot to Gram per Cubic inch.
Understanding the Gram per Cubic inch (g/in3)
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 gram per cubic inch?
1 gram per cubic inch equals 8,640 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic inch to carat per cubic foot?
Multiply the gram per cubic inch value by 8640. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to gram per cubic inch?
Use the reverse factor: 1 carat per cubic foot equals 0.0001157407 gram per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cubic inch?
Gram per Cubic inch (g/in3) 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 gram per cubic inch to carat per cubic foot conversion exact?
Yes. Both gram per cubic inch and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 8640 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.