Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
Carat per Cup to Grain per Cubic inch
Convert carat per cup (ct/cup) to grain per cubic inch (gr/in3) instantly with formula, conversion table, and FAQ.
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Convert carat per cup (ct/cup) to grain per cubic inch (gr/in3) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Grain per Cubic inch (gr/in3) expresses mass in grain per unit volume in cubic inch, found by dividing a mass value by a volume value.
gr/in3 = ct/cup × 0.213782
Results update instantly for Carat per Cup to Grain per Cubic inch conversions.
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Formula
gr/in3 = ct/cup × 0.213782
ct/cup = gr/in3 × 4.677671
Conversion table
| 1 ct/cup | 0.213782 gr/in3 |
| 5 ct/cup | 1.068908 gr/in3 |
| 10 ct/cup | 2.137816 gr/in3 |
| 20 ct/cup | 4.275632 gr/in3 |
| 50 ct/cup | 10.689079 gr/in3 |
| 100 ct/cup | 21.378159 gr/in3 |
| 500 ct/cup | 106.890794 gr/in3 |
| 1000 ct/cup | 213.781588 gr/in3 |
Related conversions
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How the formula works
Both carat per cup and grain per cubic inch measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in carat per cup by 0.213782 to get grain per cubic inch. To reverse the conversion, multiply a grain per cubic inch value by 4.677671 to get back to carat per cup.
Frequently asked questions
What is Carat per Cup (ct/cup)?
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
What is Grain per Cubic inch (gr/in3)?
Grain per Cubic inch (gr/in3) expresses mass in grain per unit volume in cubic inch, found by dividing a mass value by a volume value.
How do I convert carat per cup to grain per cubic inch?
Multiply the carat per cup value by 0.213782 to get the equivalent in grain per cubic inch. For example, 5 ct/cup × 0.213782 = 1.068908 gr/in3.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 0.213782 is an exact, non-rounded value.
Can I convert grain per cubic inch back to carat per cup?
Yes. Divide the grain per cubic inch value by 0.213782, or multiply it by 4.677671, to get carat per cup.
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About converting carat per cup to grain per cubic inch
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value. Grain per Cubic inch (gr/in3) expresses mass in grain per unit volume in cubic inch, found by dividing a mass value by a volume value.
Use this calculator to move between carat per cup and grain per cubic inch accurately for science, engineering, manufacturing, or everyday density calculations. The Universal Converter uses exact unit factors, so results stay consistent across the site.