Mass per volume density.
Dram per Cubic inches to Carats per Cup Converter — dr/in3 to ct/cup
Convert Dram per Cubic inch (dr/in3) to Carat per Cup (ct/cup) using the exact conversion factor (1 dram per cubic inch = 127.905075 carat per cup). See the formula, worked examples, and conversion table.
Dram per Cubic inches 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 108.1246278 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Dram per Cubic inches to Carats per Cup
Dram per Cubic inch 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 = dram per cubic inches × 127.905075037
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cubic inch equals 108.124627774 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct dram per cubic inch-to-carat per cup factor of 127.905075037.
Simple example
1 dr/in3 × 127.905075 = 127.905075 ct/cup
1 dram per cubic inch = 127.905075 carats per cup.
Real-world example
1,000 dr/in3 × 127.905075 = 127,905.075 ct/cup
1,000 dram per cubic inches = 127,905.075 carats per cup.
Conversion table
| Dram per Cubic inch (dr/in3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 dr/in3 | 12.7905075 ct/cup |
| 1 dr/in3 | 127.905075 ct/cup |
| 10 dr/in3 | 1,279.05075 ct/cup |
| 100 dr/in3 | 12,790.5075 ct/cup |
| 1,000 dr/in3 | 127,905.075 ct/cup |
| 10,000 dr/in3 | 1,279,050.75 ct/cup |
Reverse conversion: Carat per Cup to Dram per Cubic inch
127.905075 ct/cup × 0.00781829806 = 0.9999999997 dr/in3
127.905075 carats per cup = 0.9999999997 dram per cubic inches.
dram per cubic inches = carats per cup × 0.00781829805982
For a page dedicated to this direction, see Carat per Cup to Dram per Cubic inch.
Understanding the Dram per Cubic inch (dr/in3)
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 cubic inch?
1 dram per cubic inch equals 127.905075 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cubic inch to carat per cup?
Multiply the dram per cubic inch value by 127.905075. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to dram per cubic inch?
Use the reverse factor: 1 carat per cup equals 0.0078182981 dram per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cubic inch?
Dram per Cubic inch (dr/in3) 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 cubic inch to carat per cup conversion exact?
Yes. Both dram per cubic inch and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 127.905075 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.