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.
Grain per Cubic inch to Carat per Cup
Convert grain per cubic inch (gr/in3) to carat per cup (ct/cup) instantly with formula, conversion table, and FAQ.
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Convert grain per cubic inch (gr/in3) to carat per cup (ct/cup) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
ct/cup = gr/in3 × 4.677671
Results update instantly for Grain per Cubic inch to Carat per Cup conversions.
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Formula
ct/cup = gr/in3 × 4.677671
gr/in3 = ct/cup × 0.213782
Conversion table
| 1 gr/in3 | 4.677671 ct/cup |
| 5 gr/in3 | 23.388357 ct/cup |
| 10 gr/in3 | 46.776713 ct/cup |
| 20 gr/in3 | 93.553426 ct/cup |
| 50 gr/in3 | 233.883566 ct/cup |
| 100 gr/in3 | 467.767132 ct/cup |
| 500 gr/in3 | 2338.835658 ct/cup |
| 1000 gr/in3 | 4677.671316 ct/cup |
Related conversions
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How the formula works
Both grain per cubic inch and carat per cup measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in grain per cubic inch by 4.677671 to get carat per cup. To reverse the conversion, multiply a carat per cup value by 0.213782 to get back to grain per cubic inch.
Frequently asked questions
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.
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.
How do I convert grain per cubic inch to carat per cup?
Multiply the grain per cubic inch value by 4.677671 to get the equivalent in carat per cup. For example, 5 gr/in3 × 4.677671 = 23.388357 ct/cup.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 4.677671 is an exact, non-rounded value.
Can I convert carat per cup back to grain per cubic inch?
Yes. Divide the carat per cup value by 4.677671, or multiply it by 0.213782, to get grain per cubic inch.
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About converting grain per cubic inch to carat per cup
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. Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
Use this calculator to move between grain per cubic inch and carat per cup accurately for science, engineering, manufacturing, or everyday density calculations. The Universal Converter uses exact unit factors, so results stay consistent across the site.