Mass per volume density.
Carats per Cubic Millimeter to Grains per Teaspoon Converter — ct/mm3 to gr/tsp
Convert Carat per Cubic Millimeter (ct/mm3) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 carat per cubic millimeter = 15,212.97687 grain per teaspoon). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Grains 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 200000 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Grains per Teaspoon
Carat per Cubic Millimeter and Grain 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
grains per teaspoon = carats per cubic millimeter × 15212.9768657
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-grain per teaspoon factor of 15212.9768657.
Simple example
1 ct/mm3 × 15212.97687 = 15,212.97687 gr/tsp
1 carat per cubic millimeter = 15,212.97687 grains per teaspoon.
Real-world example
1,000 ct/mm3 × 15212.97687 = 15,212,976.87 gr/tsp
1,000 carats per cubic millimeter = 15,212,976.87 grains per teaspoon.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ct/mm3 | 1,521.297687 gr/tsp |
| 1 ct/mm3 | 15,212.97687 gr/tsp |
| 10 ct/mm3 | 152,129.7687 gr/tsp |
| 100 ct/mm3 | 1,521,297.687 gr/tsp |
| 1,000 ct/mm3 | 15,212,976.87 gr/tsp |
| 10,000 ct/mm3 | 152,129,768.7 gr/tsp |
Reverse conversion: Grain per Teaspoon to Carat per Cubic Millimeter
1 gr/tsp × 0.00006573335441 = 0.0000657334 ct/mm3
1 grain per teaspoon = 0.0000657334 carats per cubic millimeter.
carats per cubic millimeter = grains per teaspoon × 0.0000657333544138
For a page dedicated to this direction, see Grain per Teaspoon to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 15,212.97687 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to grain per teaspoon?
Multiply the carat per cubic millimeter value by 15212.97687. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to carat per cubic millimeter?
Use the reverse factor: 1 grain per teaspoon equals 0.0000657334 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the carat per cubic millimeter to grain per teaspoon conversion exact?
Yes. Both carat per cubic millimeter and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 15212.97687 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.