Mass per volume density.
Metric tons per Cubic yard to Milligrams per Cubic foot Converter — t/yd3 to mg/ft3
Convert Metric ton per Cubic yard (t/yd3) to Milligram per Cubic foot (mg/ft3) using the exact conversion factor (1 metric ton per cubic yard = 37,037,037.04 milligram per cubic foot). See the formula, worked examples, and conversion table.
Metric tons per Cubic yard to Milligrams per Cubic foot 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 / 3.53146667e-5.
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 Milligrams per Cubic foot
Metric ton per Cubic yard and Milligram per Cubic foot 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
milligrams per cubic foot = metric tons per cubic yard × 37037037.037
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 milligram per cubic foot equals 0.0000353146667215 base units, so dividing one by the other gives the direct metric ton per cubic yard-to-milligram per cubic foot factor of 37037037.037.
Simple example
1 t/yd3 × 37037037.04 = 37,037,037.04 mg/ft3
1 metric ton per cubic yard = 37,037,037.04 milligrams per cubic foot.
Real-world example
1,000 t/yd3 × 37037037.04 = 37,037,037,040 mg/ft3
1,000 metric tons per cubic yard = 37,037,037,040 milligrams per cubic foot.
Conversion table
| Metric ton per Cubic yard (t/yd3) | Milligram per Cubic foot (mg/ft3) |
|---|---|
| 0.1 t/yd3 | 3,703,703.704 mg/ft3 |
| 1 t/yd3 | 37,037,037.04 mg/ft3 |
| 10 t/yd3 | 370,370,370.4 mg/ft3 |
| 100 t/yd3 | 3,703,703,704 mg/ft3 |
| 1,000 t/yd3 | 37,037,037,040 mg/ft3 |
| 10,000 t/yd3 | 370,370,370,400 mg/ft3 |
Reverse conversion: Milligram per Cubic foot to Metric ton per Cubic yard
1 mg/ft3 × 2.7e-8 = 2.7e-8 t/yd3
1 milligram per cubic foot = 2.7e-8 metric tons per cubic yard.
metric tons per cubic yard = milligrams per cubic foot × 2.7e-8
For a page dedicated to this direction, see Milligram per Cubic foot to Metric ton per Cubic yard.
Understanding the Metric ton per Cubic yard (t/yd3)
Mass per volume density.
Understanding the Milligram per Cubic foot (mg/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cubic foot are in 1 metric ton per cubic yard?
1 metric ton per cubic yard equals 37,037,037.04 milligrams per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cubic yard to milligram per cubic foot?
Multiply the metric ton per cubic yard value by 37037037.04. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic foot back to metric ton per cubic yard?
Use the reverse factor: 1 milligram per cubic foot equals 2.7e-8 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 milligram per cubic foot?
Milligram per Cubic foot (mg/ft3) is a unit of density.
Is the metric ton per cubic yard to milligram per cubic foot conversion exact?
Yes. Both metric ton per cubic yard and milligram per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 37037037.04 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.