Mass per volume density.
Grams per Cup to Carat per Cubic inches Converter — g/cup to ct/in3
Convert Gram per Cup (g/cup) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 gram per cup = 0.3463203463 carat per cubic inch). See the formula, worked examples, and conversion table.
Grams per Cup to Carat per Cubic inches 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 4.226752838 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cup to Carat per Cubic inches
Gram per Cup and Carat per Cubic inch 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
carat per cubic inches = grams per cup × 0.34632034632
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cup equals 4.22675283773 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct gram per cup-to-carat per cubic inch factor of 0.34632034632.
Simple example
1 g/cup × 0.3463203463 = 0.3463203463 ct/in3
1 gram per cup = 0.3463203463 carat per cubic inches.
Real-world example
1,000 g/cup × 0.3463203463 = 346.3203463 ct/in3
1,000 grams per cup = 346.3203463 carat per cubic inches.
Conversion table
| Gram per Cup (g/cup) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 g/cup | 0.0346320346 ct/in3 |
| 1 g/cup | 0.3463203463 ct/in3 |
| 10 g/cup | 3.463203463 ct/in3 |
| 100 g/cup | 34.63203463 ct/in3 |
| 1,000 g/cup | 346.3203463 ct/in3 |
| 10,000 g/cup | 3,463.203463 ct/in3 |
Reverse conversion: Carat per Cubic inch to Gram per Cup
0.3463203463 ct/in3 × 2.8875 = 0.9999999999 g/cup
0.3463203463 carat per cubic inches = 0.9999999999 grams per cup.
grams per cup = carat per cubic inches × 2.8875
For a page dedicated to this direction, see Carat per Cubic inch to Gram per Cup.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 gram per cup?
1 gram per cup equals 0.3463203463 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cup to carat per cubic inch?
Multiply the gram per cup value by 0.3463203463. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to gram per cup?
Use the reverse factor: 1 carat per cubic inch equals 2.8875 grams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cup?
Gram per Cup (g/cup) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the gram per cup to carat per cubic inch conversion exact?
Yes. Both gram per cup and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.3463203463 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.