Grain per Cup (gr/cup) expresses mass in grain per unit volume in cup, found by dividing a mass value by a volume value.
Grain per Cup to Carat per Cubic Millimeter
Convert grain per cup (gr/cup) to carat per cubic millimeter (ct/mm3) instantly with formula, conversion table, and FAQ.
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Convert grain per cup (gr/cup) to carat per cubic millimeter (ct/mm3) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Carat per Cubic Millimeter (ct/mm3) expresses mass in carat per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
ct/mm3 = gr/cup × 1.369445e-6
Results update instantly for Grain per Cup to Carat per Cubic Millimeter conversions.
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Formula
ct/mm3 = gr/cup × 1.369445e-6
gr/cup = ct/mm3 × 730222.889552
Conversion table
| 1 gr/cup | 1.369445e-6 ct/mm3 |
| 5 gr/cup | 6.847224e-6 ct/mm3 |
| 10 gr/cup | 1.369445e-5 ct/mm3 |
| 20 gr/cup | 2.73889e-5 ct/mm3 |
| 50 gr/cup | 6.847224e-5 ct/mm3 |
| 100 gr/cup | 0.000137 ct/mm3 |
| 500 gr/cup | 0.000685 ct/mm3 |
| 1000 gr/cup | 0.001369 ct/mm3 |
Related conversions
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How the formula works
Both grain per cup and carat per cubic millimeter measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in grain per cup by 1.369445e-6 to get carat per cubic millimeter. To reverse the conversion, multiply a carat per cubic millimeter value by 730222.889552 to get back to grain per cup.
Frequently asked questions
What is Grain per Cup (gr/cup)?
Grain per Cup (gr/cup) expresses mass in grain per unit volume in cup, found by dividing a mass value by a volume value.
What is Carat per Cubic Millimeter (ct/mm3)?
Carat per Cubic Millimeter (ct/mm3) expresses mass in carat per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
How do I convert grain per cup to carat per cubic millimeter?
Multiply the grain per cup value by 1.369445e-6 to get the equivalent in carat per cubic millimeter. For example, 5 gr/cup × 1.369445e-6 = 6.847224e-6 ct/mm3.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 1.369445e-6 is an exact, non-rounded value.
Can I convert carat per cubic millimeter back to grain per cup?
Yes. Divide the carat per cubic millimeter value by 1.369445e-6, or multiply it by 730222.889552, to get grain per cup.
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About converting grain per cup to carat per cubic millimeter
Grain per Cup (gr/cup) expresses mass in grain per unit volume in cup, found by dividing a mass value by a volume value. Carat per Cubic Millimeter (ct/mm3) expresses mass in carat per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
Use this calculator to move between grain per cup and carat per cubic millimeter accurately for science, engineering, manufacturing, or everyday density calculations. The Universal Converter uses exact unit factors, so results stay consistent across the site.