Mass per volume density.
Grain per Cubic inches to Carats per Teaspoon Converter — gr/in3 to ct/tsp
Convert Grain per Cubic inch (gr/in3) to Carat per Teaspoon (ct/tsp) using the exact conversion factor (1 grain per cubic inch = 0.0974514857 carat per teaspoon). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Carats per Teaspoon 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 3.954272101 / 40.57682724.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Carats per Teaspoon
Grain per Cubic inch and Carat per Teaspoon 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 teaspoon = grain per cubic inches × 0.0974514857422
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 carat per teaspoon equals 40.5768272422 base units, so dividing one by the other gives the direct grain per cubic inch-to-carat per teaspoon factor of 0.0974514857422.
Simple example
1 gr/in3 × 0.09745148574 = 0.0974514857 ct/tsp
1 grain per cubic inch = 0.0974514857 carats per teaspoon.
Real-world example
1,000 gr/in3 × 0.09745148574 = 97.45148574 ct/tsp
1,000 grain per cubic inches = 97.45148574 carats per teaspoon.
Conversion table
| Grain per Cubic inch (gr/in3) | Carat per Teaspoon (ct/tsp) |
|---|---|
| 0.1 gr/in3 | 0.0097451486 ct/tsp |
| 1 gr/in3 | 0.0974514857 ct/tsp |
| 10 gr/in3 | 0.9745148574 ct/tsp |
| 100 gr/in3 | 9.745148574 ct/tsp |
| 1,000 gr/in3 | 97.45148574 ct/tsp |
| 10,000 gr/in3 | 974.5148574 ct/tsp |
Reverse conversion: Carat per Teaspoon to Grain per Cubic inch
0.0974514857 ct/tsp × 10.2615162 = 0.9999999996 gr/in3
0.0974514857 carats per teaspoon = 0.9999999996 grain per cubic inches.
grain per cubic inches = carats per teaspoon × 10.2615162035
For a page dedicated to this direction, see Carat per Teaspoon to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Carat per Teaspoon (ct/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per teaspoon are in 1 grain per cubic inch?
1 grain per cubic inch equals 0.0974514857 carats per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to carat per teaspoon?
Multiply the grain per cubic inch value by 0.09745148574. The converter above does this instantly to whatever precision you set.
How do I convert carat per teaspoon back to grain per cubic inch?
Use the reverse factor: 1 carat per teaspoon equals 10.2615162 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
Is the grain per cubic inch to carat per teaspoon conversion exact?
Yes. Both grain per cubic inch and carat per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.09745148574 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.