Mass per volume density.
Carats per Cup to Carats per Teaspoon Converter — ct/cup to ct/tsp
Convert Carat per Cup (ct/cup) to Carat per Teaspoon (ct/tsp) using the exact conversion factor (1 carat per cup = 0.0208333333 carat per teaspoon). See the formula, worked examples, and conversion table.
Carats per Cup 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 0.8453505675 / 40.57682724.
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 Carats per Teaspoon
Carat per Cup 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 = carats per cup × 0.0208333333333
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 carat per teaspoon equals 40.5768272422 base units, so dividing one by the other gives the direct carat per cup-to-carat per teaspoon factor of 0.0208333333333.
Simple example
1 ct/cup × 0.02083333333 = 0.0208333333 ct/tsp
1 carat per cup = 0.0208333333 carats per teaspoon.
Real-world example
1,000 ct/cup × 0.02083333333 = 20.83333333 ct/tsp
1,000 carats per cup = 20.83333333 carats per teaspoon.
Conversion table
| Carat per Cup (ct/cup) | Carat per Teaspoon (ct/tsp) |
|---|---|
| 0.1 ct/cup | 0.0020833333 ct/tsp |
| 1 ct/cup | 0.0208333333 ct/tsp |
| 10 ct/cup | 0.2083333333 ct/tsp |
| 100 ct/cup | 2.083333333 ct/tsp |
| 1,000 ct/cup | 20.83333333 ct/tsp |
| 10,000 ct/cup | 208.3333333 ct/tsp |
Reverse conversion: Carat per Teaspoon to Carat per Cup
0.0208333333 ct/tsp × 48 = 0.9999999984 ct/cup
0.0208333333 carats per teaspoon = 0.9999999984 carats per cup.
carats per cup = carats per teaspoon × 48
For a page dedicated to this direction, see Carat per Teaspoon to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
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 carat per cup?
1 carat per cup equals 0.0208333333 carats per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to carat per teaspoon?
Multiply the carat per cup value by 0.02083333333. The converter above does this instantly to whatever precision you set.
How do I convert carat per teaspoon back to carat per cup?
Use the reverse factor: 1 carat per teaspoon equals 48 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 carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
Is the carat per cup to carat per teaspoon conversion exact?
Yes. Both carat per cup and carat per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.02083333333 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.