Mass per volume density.
Drams per Cup to Carats per Cup Converter — dr/cup to ct/cup
Convert Dram per Cup (dr/cup) to Carat per Cup (ct/cup) using the exact conversion factor (1 dram per cup = 8.859225977 carat per cup). See the formula, worked examples, and conversion table.
Drams per Cup to Carats 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 7.489151707 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cup to Carats per Cup
Dram per Cup and Carat 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
carats per cup = drams per cup × 8.85922597656
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cup equals 7.48915170731 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct dram per cup-to-carat per cup factor of 8.85922597656.
Simple example
1 dr/cup × 8.859225977 = 8.859225977 ct/cup
1 dram per cup = 8.859225977 carats per cup.
Real-world example
1,000 dr/cup × 8.859225977 = 8,859.225977 ct/cup
1,000 drams per cup = 8,859.225977 carats per cup.
Conversion table
| Dram per Cup (dr/cup) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 dr/cup | 0.8859225977 ct/cup |
| 1 dr/cup | 8.859225977 ct/cup |
| 10 dr/cup | 88.59225977 ct/cup |
| 100 dr/cup | 885.9225977 ct/cup |
| 1,000 dr/cup | 8,859.225977 ct/cup |
| 10,000 dr/cup | 88,592.25977 ct/cup |
Reverse conversion: Carat per Cup to Dram per Cup
8.859225977 ct/cup × 0.1128766782 = 1 dr/cup
8.859225977 carats per cup = 1 drams per cup.
drams per cup = carats per cup × 0.112876678239
For a page dedicated to this direction, see Carat per Cup to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 dram per cup?
1 dram per cup equals 8.859225977 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to carat per cup?
Multiply the dram per cup value by 8.859225977. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to dram per cup?
Use the reverse factor: 1 carat per cup equals 0.1128766782 drams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the dram per cup to carat per cup conversion exact?
Yes. Both dram per cup and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 8.859225977 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.