Mass per volume density.
Short tons per Cubic yard to Metric tons per Cup Converter — ton/yd3 to t/cup
Convert Short ton per Cubic yard (ton/yd3) to Metric ton per Cup (t/cup) using the exact conversion factor (1 short ton per cubic yard = 0.0002807244 metric ton per cup). See the formula, worked examples, and conversion table.
Short tons per Cubic yard to Metric tons 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 1186.552843 / 4.22675284e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Short tons per Cubic yard to Metric tons per Cup
Short ton per Cubic yard and Metric ton 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
metric tons per cup = short tons per cubic yard × 0.000280724444525
This factor comes from each unit's defined relationship to the category's base unit: 1 short ton per cubic yard equals 1186.55284252 base units, and 1 metric ton per cup equals 4226752.83773 base units, so dividing one by the other gives the direct short ton per cubic yard-to-metric ton per cup factor of 0.000280724444525.
Simple example
1 ton/yd3 × 0.0002807244445 = 0.0002807244 t/cup
1 short ton per cubic yard = 0.0002807244 metric tons per cup.
Real-world example
1,000 ton/yd3 × 0.0002807244445 = 0.2807244445 t/cup
1,000 short tons per cubic yard = 0.2807244445 metric tons per cup.
Conversion table
| Short ton per Cubic yard (ton/yd3) | Metric ton per Cup (t/cup) |
|---|---|
| 0.1 ton/yd3 | 0.0000280724 t/cup |
| 1 ton/yd3 | 0.0002807244 t/cup |
| 10 ton/yd3 | 0.0028072444 t/cup |
| 100 ton/yd3 | 0.0280724445 t/cup |
| 1,000 ton/yd3 | 0.2807244445 t/cup |
| 10,000 ton/yd3 | 2.807244445 t/cup |
Reverse conversion: Metric ton per Cup to Short ton per Cubic yard
0.0002807244 t/cup × 3562.212054 = 0.9999998414 ton/yd3
0.0002807244 metric tons per cup = 0.9999998414 short tons per cubic yard.
short tons per cubic yard = metric tons per cup × 3562.21205351
For a page dedicated to this direction, see Metric ton per Cup to Short ton per Cubic yard.
Understanding the Short ton per Cubic yard (ton/yd3)
Mass per volume density.
Understanding the Metric ton per Cup (t/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many metric tons per cup are in 1 short ton per cubic yard?
1 short ton per cubic yard equals 0.0002807244 metric tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert short ton per cubic yard to metric ton per cup?
Multiply the short ton per cubic yard value by 0.0002807244445. The converter above does this instantly to whatever precision you set.
How do I convert metric ton per cup back to short ton per cubic yard?
Use the reverse factor: 1 metric ton per cup equals 3,562.212054 short tons per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a short ton per cubic yard?
Short ton per Cubic yard (ton/yd3) is a unit of density.
What is a metric ton per cup?
Metric ton per Cup (t/cup) is a unit of density.
Is the short ton per cubic yard to metric ton per cup conversion exact?
Yes. Both short ton per cubic yard and metric ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0002807244445 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.