Mass per volume density.
Carat per Cubic inches to Decagrams per Cup Converter — ct/in3 to dag/cup
Convert Carat per Cubic inch (ct/in3) to Decagram per Cup (dag/cup) using the exact conversion factor (1 carat per cubic inch = 0.28875 decagram per cup). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Decagrams per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 12.20474882 / 42.26752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Decagrams per Cup
Carat per Cubic inch and Decagram 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
decagrams per cup = carat per cubic inches × 0.28875
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 base units, and 1 decagram per cup equals 42.2675283773 base units, so dividing one by the other gives the direct carat per cubic inch-to-decagram per cup factor of 0.28875.
Simple example
1 ct/in3 × 0.28875 = 0.28875 dag/cup
1 carat per cubic inch = 0.28875 decagrams per cup.
Real-world example
1,000 ct/in3 × 0.28875 = 288.75 dag/cup
1,000 carat per cubic inches = 288.75 decagrams per cup.
Conversion table
| Carat per Cubic inch (ct/in3) | Decagram per Cup (dag/cup) |
|---|---|
| 0.1 ct/in3 | 0.028875 dag/cup |
| 1 ct/in3 | 0.28875 dag/cup |
| 10 ct/in3 | 2.8875 dag/cup |
| 100 ct/in3 | 28.875 dag/cup |
| 1,000 ct/in3 | 288.75 dag/cup |
| 10,000 ct/in3 | 2,887.5 dag/cup |
Reverse conversion: Decagram per Cup to Carat per Cubic inch
0.28875 dag/cup × 3.463203463 = 1 ct/in3
0.28875 decagrams per cup = 1 carat per cubic inch.
carat per cubic inches = decagrams per cup × 3.4632034632
For a page dedicated to this direction, see Decagram per Cup to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Decagram per Cup (dag/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many decagrams per cup are in 1 carat per cubic inch?
1 carat per cubic inch equals 0.28875 decagrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to decagram per cup?
Multiply the carat per cubic inch value by 0.28875. The converter above does this instantly to whatever precision you set.
How do I convert decagram per cup back to carat per cubic inch?
Use the reverse factor: 1 decagram per cup equals 3.463203463 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
What is a decagram per cup?
Decagram per Cup (dag/cup) is a unit of density.
Is the carat per cubic inch to decagram per cup conversion exact?
Yes. Both carat per cubic inch and decagram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.28875 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.