Mass per volume density.
Grains per Teaspoon to Milligrams per Cup Converter — gr/tsp to mg/cup
Convert Grain per Teaspoon (gr/tsp) to Milligram per Cup (mg/cup) using the exact conversion factor (1 grain per teaspoon = 3,110.34768 milligram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Milligrams 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 / 0.004226752838.
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 Milligrams per Cup
Grain per Teaspoon and Milligram 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
milligrams per cup = grains per teaspoon × 3110.34768
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 milligram per cup equals 0.00422675283773 base units, so dividing one by the other gives the direct grain per teaspoon-to-milligram per cup factor of 3110.34768.
Simple example
1 gr/tsp × 3110.34768 = 3,110.34768 mg/cup
1 grain per teaspoon = 3,110.34768 milligrams per cup.
Real-world example
1,000 gr/tsp × 3110.34768 = 3,110,347.68 mg/cup
1,000 grains per teaspoon = 3,110,347.68 milligrams per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Milligram per Cup (mg/cup) |
|---|---|
| 0.1 gr/tsp | 311.034768 mg/cup |
| 1 gr/tsp | 3,110.34768 mg/cup |
| 10 gr/tsp | 31,103.4768 mg/cup |
| 100 gr/tsp | 311,034.768 mg/cup |
| 1,000 gr/tsp | 3,110,347.68 mg/cup |
| 10,000 gr/tsp | 31,103,476.8 mg/cup |
Reverse conversion: Milligram per Cup to Grain per Teaspoon
1 mg/cup × 0.0003215074657 = 0.0003215075 gr/tsp
1 milligram per cup = 0.0003215075 grains per teaspoon.
grains per teaspoon = milligrams per cup × 0.000321507465686
For a page dedicated to this direction, see Milligram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Milligram per Cup (mg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 3,110.34768 milligrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to milligram per cup?
Multiply the grain per teaspoon value by 3110.34768. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cup back to grain per teaspoon?
Use the reverse factor: 1 milligram per cup equals 0.0003215075 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 milligram per cup?
Milligram per Cup (mg/cup) is a unit of density.
Is the grain per teaspoon to milligram per cup conversion exact?
Yes. Both grain per teaspoon and milligram per cup are defined by fixed standards rather than physical artifacts, so the factor of 3110.34768 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.