Mass per volume density.
Milligrams per Cup to Grains per Teaspoon Converter — mg/cup to gr/tsp
Convert Milligram per Cup (mg/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 milligram per cup = 0.0003215075 grain per teaspoon). See the formula, worked examples, and conversion table.
Milligrams per Cup to Grains per Teaspoon converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 0.004226752838 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Milligrams per Cup to Grains per Teaspoon
Milligram per Cup and Grain per Teaspoon 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
grains per teaspoon = milligrams per cup × 0.000321507465686
This factor comes from each unit's defined relationship to the category's base unit: 1 milligram per cup equals 0.00422675283773 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct milligram per cup-to-grain per teaspoon factor of 0.000321507465686.
Simple example
1 mg/cup × 0.0003215074657 = 0.0003215075 gr/tsp
1 milligram per cup = 0.0003215075 grains per teaspoon.
Real-world example
1,000 mg/cup × 0.0003215074657 = 0.3215074657 gr/tsp
1,000 milligrams per cup = 0.3215074657 grains per teaspoon.
Conversion table
| Milligram per Cup (mg/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 mg/cup | 0.0000321507 gr/tsp |
| 1 mg/cup | 0.0003215075 gr/tsp |
| 10 mg/cup | 0.0032150747 gr/tsp |
| 100 mg/cup | 0.0321507466 gr/tsp |
| 1,000 mg/cup | 0.3215074657 gr/tsp |
| 10,000 mg/cup | 3.215074657 gr/tsp |
Reverse conversion: Grain per Teaspoon to Milligram per Cup
0.0003215075 gr/tsp × 3110.34768 = 1.000000107 mg/cup
0.0003215075 grains per teaspoon = 1.000000107 milligrams per cup.
milligrams per cup = grains per teaspoon × 3110.34768
For a page dedicated to this direction, see Grain per Teaspoon to Milligram per Cup.
Understanding the Milligram per Cup (mg/cup)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 milligram per cup?
1 milligram per cup equals 0.0003215075 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert milligram per cup to grain per teaspoon?
Multiply the milligram per cup value by 0.0003215074657. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to milligram per cup?
Use the reverse factor: 1 grain per teaspoon equals 3,110.34768 milligrams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a milligram per cup?
Milligram per Cup (mg/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the milligram per cup to grain per teaspoon conversion exact?
Yes. Both milligram per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.0003215074657 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.