Mass per volume density.
Grains per Teaspoon to Metric tons per Cup Converter — gr/tsp to t/cup
Convert Grain per Teaspoon (gr/tsp) to Metric ton per Cup (t/cup) using the exact conversion factor (1 grain per teaspoon = 0.0000031103 metric ton per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon 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 13.14667088 / 4.22675284e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Teaspoon to Metric tons per Cup
Grain per Teaspoon 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 = grains per teaspoon × 0.00000311034768
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per teaspoon equals 13.1466708828 base units, and 1 metric ton per cup equals 4226752.83773 base units, so dividing one by the other gives the direct grain per teaspoon-to-metric ton per cup factor of 0.00000311034768.
Simple example
1 gr/tsp × 0.00000311034768 = 0.0000031103 t/cup
1 grain per teaspoon = 0.0000031103 metric tons per cup.
Real-world example
1,000 gr/tsp × 0.00000311034768 = 0.0031103477 t/cup
1,000 grains per teaspoon = 0.0031103477 metric tons per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Metric ton per Cup (t/cup) |
|---|---|
| 0.1 gr/tsp | 3.110348e-7 t/cup |
| 1 gr/tsp | 0.0000031103 t/cup |
| 10 gr/tsp | 0.0000311035 t/cup |
| 100 gr/tsp | 0.0003110348 t/cup |
| 1,000 gr/tsp | 0.0031103477 t/cup |
| 10,000 gr/tsp | 0.0311034768 t/cup |
Reverse conversion: Metric ton per Cup to Grain per Teaspoon
0.0000031103 t/cup × 321507.4657 = 0.9999846705 gr/tsp
0.0000031103 metric tons per cup = 0.9999846705 grains per teaspoon.
grains per teaspoon = metric tons per cup × 321507.465686
For a page dedicated to this direction, see Metric ton per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
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 grain per teaspoon?
1 grain per teaspoon equals 0.0000031103 metric tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to metric ton per cup?
Multiply the grain per teaspoon value by 0.00000311034768. The converter above does this instantly to whatever precision you set.
How do I convert metric ton per cup back to grain per teaspoon?
Use the reverse factor: 1 metric ton per cup equals 321,507.4657 grains per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) 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 grain per teaspoon to metric ton per cup conversion exact?
Yes. Both grain per teaspoon and metric ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00000311034768 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.