Mass per volume density.
Carats per Tablespoon to Ounce per Cubic inches Converter — ct/tbsp to oz/in3
Convert Carat per Tablespoon (ct/tbsp) to Ounce per Cubic inch (oz/in3) using the exact conversion factor (1 carat per tablespoon = 0.0078182981 ounce per cubic inch). See the formula, worked examples, and conversion table.
Carats per Tablespoon to Ounce 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 13.52560908 / 1729.994044.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Tablespoon to Ounce per Cubic inches
Carat per Tablespoon and Ounce 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
ounce per cubic inches = carats per tablespoon × 0.00781829805982
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per tablespoon equals 13.5256090807 base units, and 1 ounce per cubic inch equals 1729.99404439 base units, so dividing one by the other gives the direct carat per tablespoon-to-ounce per cubic inch factor of 0.00781829805982.
Simple example
1 ct/tbsp × 0.00781829806 = 0.0078182981 oz/in3
1 carat per tablespoon = 0.0078182981 ounce per cubic inches.
Real-world example
1,000 ct/tbsp × 0.00781829806 = 7.81829806 oz/in3
1,000 carats per tablespoon = 7.81829806 ounce per cubic inches.
Conversion table
| Carat per Tablespoon (ct/tbsp) | Ounce per Cubic inch (oz/in3) |
|---|---|
| 0.1 ct/tbsp | 0.0007818298 oz/in3 |
| 1 ct/tbsp | 0.0078182981 oz/in3 |
| 10 ct/tbsp | 0.0781829806 oz/in3 |
| 100 ct/tbsp | 0.781829806 oz/in3 |
| 1,000 ct/tbsp | 7.81829806 oz/in3 |
| 10,000 ct/tbsp | 78.1829806 oz/in3 |
Reverse conversion: Ounce per Cubic inch to Carat per Tablespoon
0.0078182981 oz/in3 × 127.905075 = 1.000000005 ct/tbsp
0.0078182981 ounce per cubic inches = 1.000000005 carats per tablespoon.
carats per tablespoon = ounce per cubic inches × 127.905075037
For a page dedicated to this direction, see Ounce per Cubic inch to Carat per Tablespoon.
Understanding the Carat per Tablespoon (ct/tbsp)
Mass per volume density.
Understanding the Ounce per Cubic inch (oz/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounce per cubic inches are in 1 carat per tablespoon?
1 carat per tablespoon equals 0.0078182981 ounce per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per tablespoon to ounce per cubic inch?
Multiply the carat per tablespoon value by 0.00781829806. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic inch back to carat per tablespoon?
Use the reverse factor: 1 ounce per cubic inch equals 127.905075 carats per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per tablespoon?
Carat per Tablespoon (ct/tbsp) is a unit of density.
What is a ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
Is the carat per tablespoon to ounce per cubic inch conversion exact?
Yes. Both carat per tablespoon and ounce per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.00781829806 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.