Mass per volume density.
Metric tons per Cubic yard to Long tons per Cup Converter — t/yd3 to long ton/cup
Convert Metric ton per Cubic yard (t/yd3) to Long ton per Cup (long ton/cup) using the exact conversion factor (1 metric ton per cubic yard = 0.0003045585 long ton per cup). See the formula, worked examples, and conversion table.
Metric tons per Cubic yard to Long 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 1307.950619 / 4.29457916e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Metric tons per Cubic yard to Long tons per Cup
Metric ton per Cubic yard and Long 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
long tons per cup = metric tons per cubic yard × 0.000304558507853
This factor comes from each unit's defined relationship to the category's base unit: 1 metric ton per cubic yard equals 1307.95061931 base units, and 1 long ton per cup equals 4294579.15504 base units, so dividing one by the other gives the direct metric ton per cubic yard-to-long ton per cup factor of 0.000304558507853.
Simple example
1 t/yd3 × 0.0003045585079 = 0.0003045585 long ton/cup
1 metric ton per cubic yard = 0.0003045585 long tons per cup.
Real-world example
1,000 t/yd3 × 0.0003045585079 = 0.3045585079 long ton/cup
1,000 metric tons per cubic yard = 0.3045585079 long tons per cup.
Conversion table
| Metric ton per Cubic yard (t/yd3) | Long ton per Cup (long ton/cup) |
|---|---|
| 0.1 t/yd3 | 0.0000304559 long ton/cup |
| 1 t/yd3 | 0.0003045585 long ton/cup |
| 10 t/yd3 | 0.0030455851 long ton/cup |
| 100 t/yd3 | 0.0304558508 long ton/cup |
| 1,000 t/yd3 | 0.3045585079 long ton/cup |
| 10,000 t/yd3 | 3.045585079 long ton/cup |
Reverse conversion: Long ton per Cup to Metric ton per Cubic yard
0.0003045585 long ton/cup × 3283.441356 = 0.9999999742 t/yd3
0.0003045585 long tons per cup = 0.9999999742 metric tons per cubic yard.
metric tons per cubic yard = long tons per cup × 3283.44135598
For a page dedicated to this direction, see Long ton per Cup to Metric ton per Cubic yard.
Understanding the Metric ton per Cubic yard (t/yd3)
Mass per volume density.
Understanding the Long ton per Cup (long ton/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cup are in 1 metric ton per cubic yard?
1 metric ton per cubic yard equals 0.0003045585 long tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cubic yard to long ton per cup?
Multiply the metric ton per cubic yard value by 0.0003045585079. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cup back to metric ton per cubic yard?
Use the reverse factor: 1 long ton per cup equals 3,283.441356 metric tons per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a metric ton per cubic yard?
Metric ton per Cubic yard (t/yd3) is a unit of density.
What is a long ton per cup?
Long ton per Cup (long ton/cup) is a unit of density.
Is the metric ton per cubic yard to long ton per cup conversion exact?
Yes. Both metric ton per cubic yard and long ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0003045585079 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.