Mass per volume density.
Grains per Teaspoon to Carat per Cubic inches Converter — gr/tsp to ct/in3
Convert Grain per Teaspoon (gr/tsp) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 grain per teaspoon = 1.077176686 carat per cubic inch). See the formula, worked examples, and conversion table.
Grains per Teaspoon 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 13.14667088 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Teaspoon to Carat per Cubic inches
Grain per Teaspoon 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 = grains per teaspoon × 1.07717668571
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per teaspoon equals 13.1466708828 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct grain per teaspoon-to-carat per cubic inch factor of 1.07717668571.
Simple example
1 gr/tsp × 1.077176686 = 1.077176686 ct/in3
1 grain per teaspoon = 1.077176686 carat per cubic inches.
Real-world example
1,000 gr/tsp × 1.077176686 = 1,077.176686 ct/in3
1,000 grains per teaspoon = 1,077.176686 carat per cubic inches.
Conversion table
| Grain per Teaspoon (gr/tsp) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 gr/tsp | 0.1077176686 ct/in3 |
| 1 gr/tsp | 1.077176686 ct/in3 |
| 10 gr/tsp | 10.77176686 ct/in3 |
| 100 gr/tsp | 107.7176686 ct/in3 |
| 1,000 gr/tsp | 1,077.176686 ct/in3 |
| 10,000 gr/tsp | 10,771.76686 ct/in3 |
Reverse conversion: Carat per Cubic inch to Grain per Teaspoon
1.077176686 ct/in3 × 0.9283528072 = 1 gr/tsp
1.077176686 carat per cubic inches = 1 grains per teaspoon.
grains per teaspoon = carat per cubic inches × 0.928352807169
For a page dedicated to this direction, see Carat per Cubic inch to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
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 grain per teaspoon?
1 grain per teaspoon equals 1.077176686 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to carat per cubic inch?
Multiply the grain per teaspoon value by 1.077176686. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to grain per teaspoon?
Use the reverse factor: 1 carat per cubic inch equals 0.9283528072 grains per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) 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 grain per teaspoon to carat per cubic inch conversion exact?
Yes. Both grain per teaspoon and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 1.077176686 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.