Mass per volume density.
Carats per Cup to Grains per Teaspoon Converter — ct/cup to gr/tsp
Convert Carat per Cup (ct/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 carat per cup = 0.0643014931 grain per teaspoon). See the formula, worked examples, and conversion table.
Carats per Cup 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 0.8453505675 / 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 Cup to Grains per Teaspoon
Carat per Cup 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 cup × 0.0643014931373
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct carat per cup-to-grain per teaspoon factor of 0.0643014931373.
Simple example
1 ct/cup × 0.06430149314 = 0.0643014931 gr/tsp
1 carat per cup = 0.0643014931 grains per teaspoon.
Real-world example
1,000 ct/cup × 0.06430149314 = 64.30149314 gr/tsp
1,000 carats per cup = 64.30149314 grains per teaspoon.
Conversion table
| Carat per Cup (ct/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ct/cup | 0.0064301493 gr/tsp |
| 1 ct/cup | 0.0643014931 gr/tsp |
| 10 ct/cup | 0.6430149314 gr/tsp |
| 100 ct/cup | 6.430149314 gr/tsp |
| 1,000 ct/cup | 64.30149314 gr/tsp |
| 10,000 ct/cup | 643.0149314 gr/tsp |
Reverse conversion: Grain per Teaspoon to Carat per Cup
0.0643014931 gr/tsp × 15.5517384 = 0.9999999994 ct/cup
0.0643014931 grains per teaspoon = 0.9999999994 carats per cup.
carats per cup = grains per teaspoon × 15.5517384
For a page dedicated to this direction, see Grain per Teaspoon to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
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 cup?
1 carat per cup equals 0.0643014931 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per teaspoon?
Multiply the carat per cup value by 0.06430149314. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to carat per cup?
Use the reverse factor: 1 grain per teaspoon equals 15.5517384 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) 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 cup to grain per teaspoon conversion exact?
Yes. Both carat per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.06430149314 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.