Mass per volume density.
Carats per Pint to Grains per Cup Converter — ct/pt to gr/cup
Convert Carat per Pint (ct/pt) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per pint = 1.543235835 grain per cup). See the formula, worked examples, and conversion table.
Carats per Pint to Grains 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 0.4226752838 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Pint to Grains per Cup
Carat per Pint and Grain 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
grains per cup = carats per pint × 1.54323583529
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per pint equals 0.422675283773 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per pint-to-grain per cup factor of 1.54323583529.
Simple example
1 ct/pt × 1.543235835 = 1.543235835 gr/cup
1 carat per pint = 1.543235835 grains per cup.
Real-world example
1,000 ct/pt × 1.543235835 = 1,543.235835 gr/cup
1,000 carats per pint = 1,543.235835 grains per cup.
Conversion table
| Carat per Pint (ct/pt) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/pt | 0.1543235835 gr/cup |
| 1 ct/pt | 1.543235835 gr/cup |
| 10 ct/pt | 15.43235835 gr/cup |
| 100 ct/pt | 154.3235835 gr/cup |
| 1,000 ct/pt | 1,543.235835 gr/cup |
| 10,000 ct/pt | 15,432.35835 gr/cup |
Reverse conversion: Grain per Cup to Carat per Pint
1.543235835 gr/cup × 0.6479891 = 0.9999999998 ct/pt
1.543235835 grains per cup = 0.9999999998 carats per pint.
carats per pint = grains per cup × 0.6479891
For a page dedicated to this direction, see Grain per Cup to Carat per Pint.
Understanding the Carat per Pint (ct/pt)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 carat per pint?
1 carat per pint equals 1.543235835 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per pint to grain per cup?
Multiply the carat per pint value by 1.543235835. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per pint?
Use the reverse factor: 1 grain per cup equals 0.6479891 carats per pint. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per pint?
Carat per Pint (ct/pt) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per pint to grain per cup conversion exact?
Yes. Both carat per pint and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.543235835 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.