Mass per volume density.
Metric tons per Cup to Short tons per Cubic yard Converter — t/cup to ton/yd3
Convert Metric ton per Cup (t/cup) to Short ton per Cubic yard (ton/yd3) using the exact conversion factor (1 metric ton per cup = 3,562.212054 short ton per cubic yard). See the formula, worked examples, and conversion table.
Metric tons 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 4.22675284e+6 / 1186.552843.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Metric tons per Cup to Short tons per Cubic yard
Metric ton 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 = metric tons per cup × 3562.21205351
This factor comes from each unit's defined relationship to the category's base unit: 1 metric ton per cup equals 4226752.83773 base units, and 1 short ton per cubic yard equals 1186.55284252 base units, so dividing one by the other gives the direct metric ton per cup-to-short ton per cubic yard factor of 3562.21205351.
Simple example
1 t/cup × 3562.212054 = 3,562.212054 ton/yd3
1 metric ton per cup = 3,562.212054 short tons per cubic yard.
Real-world example
1,000 t/cup × 3562.212054 = 3,562,212.054 ton/yd3
1,000 metric tons per cup = 3,562,212.054 short tons per cubic yard.
Conversion table
| Metric ton per Cup (t/cup) | Short ton per Cubic yard (ton/yd3) |
|---|---|
| 0.1 t/cup | 356.2212054 ton/yd3 |
| 1 t/cup | 3,562.212054 ton/yd3 |
| 10 t/cup | 35,622.12054 ton/yd3 |
| 100 t/cup | 356,221.2054 ton/yd3 |
| 1,000 t/cup | 3,562,212.054 ton/yd3 |
| 10,000 t/cup | 35,622,120.54 ton/yd3 |
Reverse conversion: Short ton per Cubic yard to Metric ton per Cup
1 ton/yd3 × 0.0002807244445 = 0.0002807244 t/cup
1 short ton per cubic yard = 0.0002807244 metric tons per cup.
metric tons per cup = short tons per cubic yard × 0.000280724444525
For a page dedicated to this direction, see Short ton per Cubic yard to Metric ton per Cup.
Understanding the Metric ton per Cup (t/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 metric ton per cup?
1 metric ton per cup equals 3,562.212054 short tons per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cup to short ton per cubic yard?
Multiply the metric ton per cup value by 3562.212054. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cubic yard back to metric ton per cup?
Use the reverse factor: 1 short ton per cubic yard equals 0.0002807244 metric tons per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a metric ton per cup?
Metric ton per Cup (t/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 metric ton per cup to short ton per cubic yard conversion exact?
Yes. Both metric ton per cup and short ton per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 3562.212054 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.