Mass per volume density.
Grains per Teaspoon to Grains per Cup Converter — gr/tsp to gr/cup
Convert Grain per Teaspoon (gr/tsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 grain per teaspoon = 48 grain per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Grains 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 / 0.2738889767.
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 Grains per Cup
Grain per Teaspoon and Grain 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
grains per cup = grains per teaspoon × 48
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 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct grain per teaspoon-to-grain per cup factor of 48.
Simple example
1 gr/tsp × 48 = 48 gr/cup
1 grain per teaspoon = 48 grains per cup.
Real-world example
1,000 gr/tsp × 48 = 48,000 gr/cup
1,000 grains per teaspoon = 48,000 grains per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 gr/tsp | 4.8 gr/cup |
| 1 gr/tsp | 48 gr/cup |
| 10 gr/tsp | 480 gr/cup |
| 100 gr/tsp | 4,800 gr/cup |
| 1,000 gr/tsp | 48,000 gr/cup |
| 10,000 gr/tsp | 480,000 gr/cup |
Reverse conversion: Grain per Cup to Grain per Teaspoon
48 gr/cup × 0.02083333333 = 1 gr/tsp
48 grains per cup = 1 grains per teaspoon.
grains per teaspoon = grains per cup × 0.0208333333333
For a page dedicated to this direction, see Grain per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 48 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to grain per cup?
Multiply the grain per teaspoon value by 48. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to grain per teaspoon?
Use the reverse factor: 1 grain per cup equals 0.0208333333 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 grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the grain per teaspoon to grain per cup conversion exact?
Yes. Both grain per teaspoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 48 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.