Mass per volume density.
Carats per Cup to Short tons per Cubic yard Converter — ct/cup to ton/yd3
Convert Carat per Cup (ct/cup) to Short ton per Cubic yard (ton/yd3) using the exact conversion factor (1 carat per cup = 0.0007124424 short ton per cubic yard). See the formula, worked examples, and conversion table.
Carats per Cup to Short tons 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 0.8453505675 / 1186.552843.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Short tons per Cubic yard
Carat per Cup and Short ton 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
short tons per cubic yard = carats per cup × 0.000712442410701
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 short ton per cubic yard equals 1186.55284252 base units, so dividing one by the other gives the direct carat per cup-to-short ton per cubic yard factor of 0.000712442410701.
Simple example
1 ct/cup × 0.0007124424107 = 0.0007124424 ton/yd3
1 carat per cup = 0.0007124424 short tons per cubic yard.
Real-world example
1,000 ct/cup × 0.0007124424107 = 0.7124424107 ton/yd3
1,000 carats per cup = 0.7124424107 short tons per cubic yard.
Conversion table
| Carat per Cup (ct/cup) | Short ton per Cubic yard (ton/yd3) |
|---|---|
| 0.1 ct/cup | 0.0000712442 ton/yd3 |
| 1 ct/cup | 0.0007124424 ton/yd3 |
| 10 ct/cup | 0.0071244241 ton/yd3 |
| 100 ct/cup | 0.0712442411 ton/yd3 |
| 1,000 ct/cup | 0.7124424107 ton/yd3 |
| 10,000 ct/cup | 7.124424107 ton/yd3 |
Reverse conversion: Short ton per Cubic yard to Carat per Cup
0.0007124424 ton/yd3 × 1403.622223 = 0.999999985 ct/cup
0.0007124424 short tons per cubic yard = 0.999999985 carats per cup.
carats per cup = short tons per cubic yard × 1403.62222262
For a page dedicated to this direction, see Short ton per Cubic yard to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Short ton per Cubic yard (ton/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many short tons per cubic yard are in 1 carat per cup?
1 carat per cup equals 0.0007124424 short tons per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to short ton per cubic yard?
Multiply the carat per cup value by 0.0007124424107. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cubic yard back to carat per cup?
Use the reverse factor: 1 short ton per cubic yard equals 1,403.622223 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a short ton per cubic yard?
Short ton per Cubic yard (ton/yd3) is a unit of density.
Is the carat per cup to short ton per cubic yard conversion exact?
Yes. Both carat per cup and short ton per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 0.0007124424107 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.