Mass per volume density.
Carats per Cubic Meter to Grains per Teaspoon Converter — ct/m3 to gr/tsp
Convert Carat per Cubic Meter (ct/m3) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 carat per cubic meter = 0.000015213 grain per teaspoon). See the formula, worked examples, and conversion table.
Carats per Cubic Meter to Grains per Teaspoon converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 0.0002 / 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 Meter to Grains per Teaspoon
Carat per Cubic Meter 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 meter × 0.0000152129768657
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic meter equals 0.0002 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct carat per cubic meter-to-grain per teaspoon factor of 0.0000152129768657.
Simple example
1 ct/m3 × 0.00001521297687 = 0.000015213 gr/tsp
1 carat per cubic meter = 0.000015213 grains per teaspoon.
Real-world example
1,000 ct/m3 × 0.00001521297687 = 0.0152129769 gr/tsp
1,000 carats per cubic meter = 0.0152129769 grains per teaspoon.
Conversion table
| Carat per Cubic Meter (ct/m3) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ct/m3 | 0.0000015213 gr/tsp |
| 1 ct/m3 | 0.000015213 gr/tsp |
| 10 ct/m3 | 0.0001521298 gr/tsp |
| 100 ct/m3 | 0.0015212977 gr/tsp |
| 1,000 ct/m3 | 0.0152129769 gr/tsp |
| 10,000 ct/m3 | 0.1521297687 gr/tsp |
Reverse conversion: Grain per Teaspoon to Carat per Cubic Meter
0.000015213 gr/tsp × 65733.35441 = 1.000001521 ct/m3
0.000015213 grains per teaspoon = 1.000001521 carats per cubic meter.
carats per cubic meter = grains per teaspoon × 65733.3544138
For a page dedicated to this direction, see Grain per Teaspoon to Carat per Cubic Meter.
Understanding the Carat per Cubic Meter (ct/m3)
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 meter?
1 carat per cubic meter equals 0.000015213 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic meter to grain per teaspoon?
Multiply the carat per cubic meter value by 0.00001521297687. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to carat per cubic meter?
Use the reverse factor: 1 grain per teaspoon equals 65,733.35441 carats per cubic meter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic meter?
Carat per Cubic Meter (ct/m3) 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 meter to grain per teaspoon conversion exact?
Yes. Both carat per cubic meter and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.00001521297687 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.