Mass per volume density.
Grains per Pint to Carats per Cup Converter — gr/pt to ct/cup
Convert Grain per Pint (gr/pt) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per pint = 0.161997275 carat per cup). See the formula, worked examples, and conversion table.
Grains per Pint to Carats 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 0.1369444884 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Pint to Carats per Cup
Grain per Pint and Carat 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
carats per cup = grains per pint × 0.161997275
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per pint equals 0.136944488362 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per pint-to-carat per cup factor of 0.161997275.
Simple example
1 gr/pt × 0.161997275 = 0.161997275 ct/cup
1 grain per pint = 0.161997275 carats per cup.
Real-world example
1,000 gr/pt × 0.161997275 = 161.997275 ct/cup
1,000 grains per pint = 161.997275 carats per cup.
Conversion table
| Grain per Pint (gr/pt) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/pt | 0.0161997275 ct/cup |
| 1 gr/pt | 0.161997275 ct/cup |
| 10 gr/pt | 1.61997275 ct/cup |
| 100 gr/pt | 16.1997275 ct/cup |
| 1,000 gr/pt | 161.997275 ct/cup |
| 10,000 gr/pt | 1,619.97275 ct/cup |
Reverse conversion: Carat per Cup to Grain per Pint
0.161997275 ct/cup × 6.172943341 = 1 gr/pt
0.161997275 carats per cup = 1 grains per pint.
grains per pint = carats per cup × 6.17294334118
For a page dedicated to this direction, see Carat per Cup to Grain per Pint.
Understanding the Grain per Pint (gr/pt)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per pint?
1 grain per pint equals 0.161997275 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per pint to carat per cup?
Multiply the grain per pint value by 0.161997275. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per pint?
Use the reverse factor: 1 carat per cup equals 6.172943341 grains per pint. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per pint?
Grain per Pint (gr/pt) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per pint to carat per cup conversion exact?
Yes. Both grain per pint and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.161997275 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.