Mass per volume density.
Grains per Cup to Grains per Teaspoon Converter — gr/cup to gr/tsp
Convert Grain per Cup (gr/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 grain per cup = 0.0208333333 grain per teaspoon). See the formula, worked examples, and conversion table.
Grains per Cup to Grains per Teaspoon 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 0.2738889767 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Grains per Teaspoon
Grain 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 = grains per cup × 0.0208333333333
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct grain per cup-to-grain per teaspoon factor of 0.0208333333333.
Simple example
1 gr/cup × 0.02083333333 = 0.0208333333 gr/tsp
1 grain per cup = 0.0208333333 grains per teaspoon.
Real-world example
1,000 gr/cup × 0.02083333333 = 20.83333333 gr/tsp
1,000 grains per cup = 20.83333333 grains per teaspoon.
Conversion table
| Grain per Cup (gr/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 gr/cup | 0.0020833333 gr/tsp |
| 1 gr/cup | 0.0208333333 gr/tsp |
| 10 gr/cup | 0.2083333333 gr/tsp |
| 100 gr/cup | 2.083333333 gr/tsp |
| 1,000 gr/cup | 20.83333333 gr/tsp |
| 10,000 gr/cup | 208.3333333 gr/tsp |
Reverse conversion: Grain per Teaspoon to Grain per Cup
0.0208333333 gr/tsp × 48 = 0.9999999984 gr/cup
0.0208333333 grains per teaspoon = 0.9999999984 grains per cup.
grains per cup = grains per teaspoon × 48
For a page dedicated to this direction, see Grain per Teaspoon to Grain per Cup.
Understanding the Grain per Cup (gr/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 grain per cup?
1 grain per cup equals 0.0208333333 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to grain per teaspoon?
Multiply the grain per cup value by 0.02083333333. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to grain per cup?
Use the reverse factor: 1 grain per teaspoon equals 48 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the grain per cup to grain per teaspoon conversion exact?
Yes. Both grain per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.02083333333 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.