Mass per volume density.
Carats per Cubic Centimeter to Grams per Cup Converter — ct/cm3 to g/cup
Convert Carat per Cubic Centimeter (ct/cm3) to Gram per Cup (g/cup) using the exact conversion factor (1 carat per cubic centimeter = 47.3176473 gram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Centimeter to Grams per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 200 / 4.226752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Centimeter to Grams per Cup
Carat per Cubic Centimeter and Gram per Cup both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grams per cup = carats per cubic centimeter × 47.3176473
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic centimeter equals 200 base units, and 1 gram per cup equals 4.22675283773 base units, so dividing one by the other gives the direct carat per cubic centimeter-to-gram per cup factor of 47.3176473.
Simple example
1 ct/cm3 × 47.3176473 = 47.3176473 g/cup
1 carat per cubic centimeter = 47.3176473 grams per cup.
Real-world example
1,000 ct/cm3 × 47.3176473 = 47,317.6473 g/cup
1,000 carats per cubic centimeter = 47,317.6473 grams per cup.
Conversion table
| Carat per Cubic Centimeter (ct/cm3) | Gram per Cup (g/cup) |
|---|---|
| 0.1 ct/cm3 | 4.73176473 g/cup |
| 1 ct/cm3 | 47.3176473 g/cup |
| 10 ct/cm3 | 473.176473 g/cup |
| 100 ct/cm3 | 4,731.76473 g/cup |
| 1,000 ct/cm3 | 47,317.6473 g/cup |
| 10,000 ct/cm3 | 473,176.473 g/cup |
Reverse conversion: Gram per Cup to Carat per Cubic Centimeter
47.3176473 g/cup × 0.02113376419 = 1 ct/cm3
47.3176473 grams per cup = 1 carat per cubic centimeter.
carats per cubic centimeter = grams per cup × 0.0211337641887
For a page dedicated to this direction, see Gram per Cup to Carat per Cubic Centimeter.
Understanding the Carat per Cubic Centimeter (ct/cm3)
Mass per volume density.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grams per cup are in 1 carat per cubic centimeter?
1 carat per cubic centimeter equals 47.3176473 grams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic centimeter to gram per cup?
Multiply the carat per cubic centimeter value by 47.3176473. The converter above does this instantly to whatever precision you set.
How do I convert gram per cup back to carat per cubic centimeter?
Use the reverse factor: 1 gram per cup equals 0.0211337642 carats per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
What is a gram per cup?
Gram per Cup (g/cup) is a unit of density.
Is the carat per cubic centimeter to gram per cup conversion exact?
Yes. Both carat per cubic centimeter and gram per cup are defined by fixed standards rather than physical artifacts, so the factor of 47.3176473 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.