Mass per volume density.
Metric tons per Cup to Long tons per Cubic yard Converter — t/cup to long ton/yd3
Convert Metric ton per Cup (t/cup) to Long ton per Cubic yard (long ton/yd3) using the exact conversion factor (1 metric ton per cup = 3,180.546476 long ton per cubic yard). See the formula, worked examples, and conversion table.
Metric tons per Cup to Long 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 / 1328.939184.
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 Long tons per Cubic yard
Metric ton per Cup and Long 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
long tons per cubic yard = metric tons per cup × 3180.54647634
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 long ton per cubic yard equals 1328.93918362 base units, so dividing one by the other gives the direct metric ton per cup-to-long ton per cubic yard factor of 3180.54647634.
Simple example
1 t/cup × 3180.546476 = 3,180.546476 long ton/yd3
1 metric ton per cup = 3,180.546476 long tons per cubic yard.
Real-world example
1,000 t/cup × 3180.546476 = 3,180,546.476 long ton/yd3
1,000 metric tons per cup = 3,180,546.476 long tons per cubic yard.
Conversion table
| Metric ton per Cup (t/cup) | Long ton per Cubic yard (long ton/yd3) |
|---|---|
| 0.1 t/cup | 318.0546476 long ton/yd3 |
| 1 t/cup | 3,180.546476 long ton/yd3 |
| 10 t/cup | 31,805.46476 long ton/yd3 |
| 100 t/cup | 318,054.6476 long ton/yd3 |
| 1,000 t/cup | 3,180,546.476 long ton/yd3 |
| 10,000 t/cup | 31,805,464.76 long ton/yd3 |
Reverse conversion: Long ton per Cubic yard to Metric ton per Cup
1 long ton/yd3 × 0.0003144113779 = 0.0003144114 t/cup
1 long ton per cubic yard = 0.0003144114 metric tons per cup.
metric tons per cup = long tons per cubic yard × 0.000314411377868
For a page dedicated to this direction, see Long ton per Cubic yard to Metric ton per Cup.
Understanding the Metric ton per Cup (t/cup)
Mass per volume density.
Understanding the Long ton per Cubic yard (long ton/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cubic yard are in 1 metric ton per cup?
1 metric ton per cup equals 3,180.546476 long tons per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cup to long ton per cubic yard?
Multiply the metric ton per cup value by 3180.546476. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cubic yard back to metric ton per cup?
Use the reverse factor: 1 long ton per cubic yard equals 0.0003144114 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 long ton per cubic yard?
Long ton per Cubic yard (long ton/yd3) is a unit of density.
Is the metric ton per cup to long ton per cubic yard conversion exact?
Yes. Both metric ton per cup and long ton per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 3180.546476 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.