Mass per volume density.
Drams per Tablespoon to Carat per Cubic inches Converter — dr/tbsp to ct/in3
Convert Dram per Tablespoon (dr/tbsp) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 dram per tablespoon = 9.818016667 carat per cubic inch). See the formula, worked examples, and conversion table.
Drams per Tablespoon to Carat per Cubic inches 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 119.8264273 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Tablespoon to Carat per Cubic inches
Dram per Tablespoon and Carat per Cubic inch 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
carat per cubic inches = drams per tablespoon × 9.81801666667
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per tablespoon equals 119.826427317 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct dram per tablespoon-to-carat per cubic inch factor of 9.81801666667.
Simple example
1 dr/tbsp × 9.818016667 = 9.818016667 ct/in3
1 dram per tablespoon = 9.818016667 carat per cubic inches.
Real-world example
1,000 dr/tbsp × 9.818016667 = 9,818.016667 ct/in3
1,000 drams per tablespoon = 9,818.016667 carat per cubic inches.
Conversion table
| Dram per Tablespoon (dr/tbsp) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 dr/tbsp | 0.9818016667 ct/in3 |
| 1 dr/tbsp | 9.818016667 ct/in3 |
| 10 dr/tbsp | 98.18016667 ct/in3 |
| 100 dr/tbsp | 981.8016667 ct/in3 |
| 1,000 dr/tbsp | 9,818.016667 ct/in3 |
| 10,000 dr/tbsp | 98,180.16667 ct/in3 |
Reverse conversion: Carat per Cubic inch to Dram per Tablespoon
9.818016667 ct/in3 × 0.1018535651 = 1 dr/tbsp
9.818016667 carat per cubic inches = 1 drams per tablespoon.
drams per tablespoon = carat per cubic inches × 0.101853565129
For a page dedicated to this direction, see Carat per Cubic inch to Dram per Tablespoon.
Understanding the Dram per Tablespoon (dr/tbsp)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 dram per tablespoon?
1 dram per tablespoon equals 9.818016667 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert dram per tablespoon to carat per cubic inch?
Multiply the dram per tablespoon value by 9.818016667. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to dram per tablespoon?
Use the reverse factor: 1 carat per cubic inch equals 0.1018535651 drams per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per tablespoon?
Dram per Tablespoon (dr/tbsp) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the dram per tablespoon to carat per cubic inch conversion exact?
Yes. Both dram per tablespoon and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 9.818016667 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.