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 Millimeter
Convert carat per cup (ct/cup) to grain per cubic millimeter (gr/mm3) instantly with formula, conversion table, and FAQ.
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Convert carat per cup (ct/cup) to grain per cubic millimeter (gr/mm3) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Grain per Cubic Millimeter (gr/mm3) expresses mass in grain per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
gr/mm3 = ct/cup × 1.304575e-5
Results update instantly for Carat per Cup to Grain per Cubic Millimeter conversions.
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Formula
gr/mm3 = ct/cup × 1.304575e-5
ct/cup = gr/mm3 × 76653.29922
Conversion table
| 1 ct/cup | 1.304575e-5 gr/mm3 |
| 5 ct/cup | 6.522876e-5 gr/mm3 |
| 10 ct/cup | 0.00013 gr/mm3 |
| 20 ct/cup | 0.000261 gr/mm3 |
| 50 ct/cup | 0.000652 gr/mm3 |
| 100 ct/cup | 0.001305 gr/mm3 |
| 500 ct/cup | 0.006523 gr/mm3 |
| 1000 ct/cup | 0.013046 gr/mm3 |
Related conversions
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How the formula works
Both carat per cup and grain per cubic millimeter 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 1.304575e-5 to get grain per cubic millimeter. To reverse the conversion, multiply a grain per cubic millimeter value by 76653.29922 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 Millimeter (gr/mm3)?
Grain per Cubic Millimeter (gr/mm3) expresses mass in grain per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
How do I convert carat per cup to grain per cubic millimeter?
Multiply the carat per cup value by 1.304575e-5 to get the equivalent in grain per cubic millimeter. For example, 5 ct/cup × 1.304575e-5 = 6.522876e-5 gr/mm3.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 1.304575e-5 is an exact, non-rounded value.
Can I convert grain per cubic millimeter back to carat per cup?
Yes. Divide the grain per cubic millimeter value by 1.304575e-5, or multiply it by 76653.29922, to get carat per cup.
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About converting carat per cup to grain per cubic millimeter
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 Millimeter (gr/mm3) expresses mass in grain per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
Use this calculator to move between carat per cup and grain 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.