Mass per volume density.
Grains per Cup to Carats per Cubic yard Converter — gr/cup to ct/yd3
Convert Grain per Cup (gr/cup) to Carat per Cubic yard (ct/yd3) using the exact conversion factor (1 grain per cup = 1,047.015739 carat per cubic yard). See the formula, worked examples, and conversion table.
Grains per Cup to Carats per Cubic yard 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 0.2738889767 / 0.0002615901239.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Cubic yard
Grain per Cup and Carat per Cubic yard 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 cubic yard = grains per cup × 1047.01573851
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per cubic yard equals 0.000261590123863 base units, so dividing one by the other gives the direct grain per cup-to-carat per cubic yard factor of 1047.01573851.
Simple example
1 gr/cup × 1047.015739 = 1,047.015739 ct/yd3
1 grain per cup = 1,047.015739 carats per cubic yard.
Real-world example
1,000 gr/cup × 1047.015739 = 1,047,015.739 ct/yd3
1,000 grains per cup = 1,047,015.739 carats per cubic yard.
Conversion table
| Grain per Cup (gr/cup) | Carat per Cubic yard (ct/yd3) |
|---|---|
| 0.1 gr/cup | 104.7015739 ct/yd3 |
| 1 gr/cup | 1,047.015739 ct/yd3 |
| 10 gr/cup | 10,470.15739 ct/yd3 |
| 100 gr/cup | 104,701.5739 ct/yd3 |
| 1,000 gr/cup | 1,047,015.739 ct/yd3 |
| 10,000 gr/cup | 10,470,157.39 ct/yd3 |
Reverse conversion: Carat per Cubic yard to Grain per Cup
1 ct/yd3 × 0.0009550954806 = 0.0009550955 gr/cup
1 carat per cubic yard = 0.0009550955 grains per cup.
grains per cup = carats per cubic yard × 0.000955095480627
For a page dedicated to this direction, see Carat per Cubic yard to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Cubic yard (ct/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic yard are in 1 grain per cup?
1 grain per cup equals 1,047.015739 carats per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per cubic yard?
Multiply the grain per cup value by 1047.015739. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic yard back to grain per cup?
Use the reverse factor: 1 carat per cubic yard equals 0.0009550955 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a carat per cubic yard?
Carat per Cubic yard (ct/yd3) is a unit of density.
Is the grain per cup to carat per cubic yard conversion exact?
Yes. Both grain per cup and carat per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 1047.015739 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.