Mass per volume density.
Carat per Cubic inches to Grains per Quart Converter — ct/in3 to gr/qt
Convert Carat per Cubic inch (ct/in3) to Grain per Quart (gr/qt) using the exact conversion factor (1 carat per cubic inch = 178.243739 grain per quart). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Grains per Quart 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 / 0.06847224418.
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 Quart
Carat per Cubic inch and Grain per Quart 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 quart = carat per cubic inches × 178.243738976
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 quart equals 0.0684722441811 base units, so dividing one by the other gives the direct carat per cubic inch-to-grain per quart factor of 178.243738976.
Simple example
1 ct/in3 × 178.243739 = 178.243739 gr/qt
1 carat per cubic inch = 178.243739 grains per quart.
Real-world example
1,000 ct/in3 × 178.243739 = 178,243.739 gr/qt
1,000 carat per cubic inches = 178,243.739 grains per quart.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Quart (gr/qt) |
|---|---|
| 0.1 ct/in3 | 17.8243739 gr/qt |
| 1 ct/in3 | 178.243739 gr/qt |
| 10 ct/in3 | 1,782.43739 gr/qt |
| 100 ct/in3 | 17,824.3739 gr/qt |
| 1,000 ct/in3 | 178,243.739 gr/qt |
| 10,000 ct/in3 | 1,782,437.39 gr/qt |
Reverse conversion: Grain per Quart to Carat per Cubic inch
178.243739 gr/qt × 0.005610295238 = 1 ct/in3
178.243739 grains per quart = 1 carat per cubic inches.
carat per cubic inches = grains per quart × 0.0056102952381
For a page dedicated to this direction, see Grain per Quart to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Grain per Quart (gr/qt)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per quart are in 1 carat per cubic inch?
1 carat per cubic inch equals 178.243739 grains per quart, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per quart?
Multiply the carat per cubic inch value by 178.243739. The converter above does this instantly to whatever precision you set.
How do I convert grain per quart back to carat per cubic inch?
Use the reverse factor: 1 grain per quart equals 0.0056102952 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 quart?
Grain per Quart (gr/qt) is a unit of density.
Is the carat per cubic inch to grain per quart conversion exact?
Yes. Both carat per cubic inch and grain per quart are defined by fixed standards rather than physical artifacts, so the factor of 178.243739 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.