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.
Carat per Cubic Millimeter to Grain per Cup
Convert carat per cubic millimeter (ct/mm3) to grain per cup (gr/cup) instantly with formula, conversion table, and FAQ.
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Convert carat per cubic millimeter (ct/mm3) to grain per cup (gr/cup) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Grain per Cup (gr/cup) expresses mass in grain per unit volume in cup, found by dividing a mass value by a volume value.
gr/cup = ct/mm3 × 730222.889552
Results update instantly for Carat per Cubic Millimeter to Grain per Cup conversions.
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Formula
gr/cup = ct/mm3 × 730222.889552
ct/mm3 = gr/cup × 1.369445e-6
Conversion table
| 1 ct/mm3 | 730222.889552 gr/cup |
| 5 ct/mm3 | 3.651114e6 gr/cup |
| 10 ct/mm3 | 7.302229e6 gr/cup |
| 20 ct/mm3 | 1.460446e7 gr/cup |
| 50 ct/mm3 | 3.651114e7 gr/cup |
| 100 ct/mm3 | 7.302229e7 gr/cup |
| 500 ct/mm3 | 3.651114e8 gr/cup |
| 1000 ct/mm3 | 7.302229e8 gr/cup |
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How the formula works
Both carat per cubic millimeter and grain per cup measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in carat per cubic millimeter by 730222.889552 to get grain per cup. To reverse the conversion, multiply a grain per cup value by 1.369445e-6 to get back to carat per cubic millimeter.
Frequently asked questions
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.
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.
How do I convert carat per cubic millimeter to grain per cup?
Multiply the carat per cubic millimeter value by 730222.889552 to get the equivalent in grain per cup. For example, 5 ct/mm3 × 730222.889552 = 3.651114e6 gr/cup.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 730222.889552 is an exact, non-rounded value.
Can I convert grain per cup back to carat per cubic millimeter?
Yes. Divide the grain per cup value by 730222.889552, or multiply it by 1.369445e-6, to get carat per cubic millimeter.
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About converting carat per cubic millimeter to grain per cup
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. Grain per Cup (gr/cup) expresses mass in grain per unit volume in cup, found by dividing a mass value by a volume value.
Use this calculator to move between carat per cubic millimeter and grain 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.