Mass per volume density.
Carats per Teaspoon to Drams per Cup Converter — ct/tsp to dr/cup
Convert Carat per Teaspoon (ct/tsp) to Dram per Cup (dr/cup) using the exact conversion factor (1 carat per teaspoon = 5.418080555 dram per cup). See the formula, worked examples, and conversion table.
Carats per Teaspoon to Drams per Cup 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 40.57682724 / 7.489151707.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Teaspoon to Drams per Cup
Carat per Teaspoon and Dram per Cup 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
drams per cup = carats per teaspoon × 5.41808055546
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per teaspoon equals 40.5768272422 base units, and 1 dram per cup equals 7.48915170731 base units, so dividing one by the other gives the direct carat per teaspoon-to-dram per cup factor of 5.41808055546.
Simple example
1 ct/tsp × 5.418080555 = 5.418080555 dr/cup
1 carat per teaspoon = 5.418080555 drams per cup.
Real-world example
1,000 ct/tsp × 5.418080555 = 5,418.080555 dr/cup
1,000 carats per teaspoon = 5,418.080555 drams per cup.
Conversion table
| Carat per Teaspoon (ct/tsp) | Dram per Cup (dr/cup) |
|---|---|
| 0.1 ct/tsp | 0.5418080555 dr/cup |
| 1 ct/tsp | 5.418080555 dr/cup |
| 10 ct/tsp | 54.18080555 dr/cup |
| 100 ct/tsp | 541.8080555 dr/cup |
| 1,000 ct/tsp | 5,418.080555 dr/cup |
| 10,000 ct/tsp | 54,180.80555 dr/cup |
Reverse conversion: Dram per Cup to Carat per Teaspoon
5.418080555 dr/cup × 0.1845672078 = 0.9999999999 ct/tsp
5.418080555 drams per cup = 0.9999999999 carats per teaspoon.
carats per teaspoon = drams per cup × 0.184567207845
For a page dedicated to this direction, see Dram per Cup to Carat per Teaspoon.
Understanding the Carat per Teaspoon (ct/tsp)
Mass per volume density.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cup are in 1 carat per teaspoon?
1 carat per teaspoon equals 5.418080555 drams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per teaspoon to dram per cup?
Multiply the carat per teaspoon value by 5.418080555. The converter above does this instantly to whatever precision you set.
How do I convert dram per cup back to carat per teaspoon?
Use the reverse factor: 1 dram per cup equals 0.1845672078 carats per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
Is the carat per teaspoon to dram per cup conversion exact?
Yes. Both carat per teaspoon and dram per cup are defined by fixed standards rather than physical artifacts, so the factor of 5.418080555 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.