Mass per volume density.
Carats per Cubic yard to Grains per Cup Converter — ct/yd3 to gr/cup
Convert Carat per Cubic yard (ct/yd3) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per cubic yard = 0.0009550955 grain per cup). See the formula, worked examples, and conversion table.
Carats per Cubic yard 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 0.0002615901239 / 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 Cubic yard to Grains per Cup
Carat per Cubic yard 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 cubic yard × 0.000955095480627
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic yard equals 0.000261590123863 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per cubic yard-to-grain per cup factor of 0.000955095480627.
Simple example
1 ct/yd3 × 0.0009550954806 = 0.0009550955 gr/cup
1 carat per cubic yard = 0.0009550955 grains per cup.
Real-world example
1,000 ct/yd3 × 0.0009550954806 = 0.9550954806 gr/cup
1,000 carats per cubic yard = 0.9550954806 grains per cup.
Conversion table
| Carat per Cubic yard (ct/yd3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/yd3 | 0.0000955095 gr/cup |
| 1 ct/yd3 | 0.0009550955 gr/cup |
| 10 ct/yd3 | 0.0095509548 gr/cup |
| 100 ct/yd3 | 0.0955095481 gr/cup |
| 1,000 ct/yd3 | 0.9550954806 gr/cup |
| 10,000 ct/yd3 | 9.550954806 gr/cup |
Reverse conversion: Grain per Cup to Carat per Cubic yard
0.0009550955 gr/cup × 1047.015739 = 1.00000002 ct/yd3
0.0009550955 grains per cup = 1.00000002 carats per cubic yard.
carats per cubic yard = grains per cup × 1047.01573851
For a page dedicated to this direction, see Grain per Cup to Carat per Cubic yard.
Understanding the Carat per Cubic yard (ct/yd3)
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 cubic yard?
1 carat per cubic yard equals 0.0009550955 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic yard to grain per cup?
Multiply the carat per cubic yard value by 0.0009550954806. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per cubic yard?
Use the reverse factor: 1 grain per cup equals 1,047.015739 carats per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic yard?
Carat per Cubic yard (ct/yd3) 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 cubic yard to grain per cup conversion exact?
Yes. Both carat per cubic yard and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0009550954806 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.