Mass per volume density.
Grains per Teaspoon to Decagrams per Cup Converter — gr/tsp to dag/cup
Convert Grain per Teaspoon (gr/tsp) to Decagram per Cup (dag/cup) using the exact conversion factor (1 grain per teaspoon = 0.311034768 decagram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Decagrams 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 / 42.26752838.
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 Decagrams per Cup
Grain per Teaspoon and Decagram 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
decagrams per cup = grains per teaspoon × 0.311034768
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 decagram per cup equals 42.2675283773 base units, so dividing one by the other gives the direct grain per teaspoon-to-decagram per cup factor of 0.311034768.
Simple example
1 gr/tsp × 0.311034768 = 0.311034768 dag/cup
1 grain per teaspoon = 0.311034768 decagrams per cup.
Real-world example
1,000 gr/tsp × 0.311034768 = 311.034768 dag/cup
1,000 grains per teaspoon = 311.034768 decagrams per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Decagram per Cup (dag/cup) |
|---|---|
| 0.1 gr/tsp | 0.0311034768 dag/cup |
| 1 gr/tsp | 0.311034768 dag/cup |
| 10 gr/tsp | 3.11034768 dag/cup |
| 100 gr/tsp | 31.1034768 dag/cup |
| 1,000 gr/tsp | 311.034768 dag/cup |
| 10,000 gr/tsp | 3,110.34768 dag/cup |
Reverse conversion: Decagram per Cup to Grain per Teaspoon
0.311034768 dag/cup × 3.215074657 = 1 gr/tsp
0.311034768 decagrams per cup = 1 grains per teaspoon.
grains per teaspoon = decagrams per cup × 3.21507465686
For a page dedicated to this direction, see Decagram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Decagram per Cup (dag/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many decagrams per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 0.311034768 decagrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to decagram per cup?
Multiply the grain per teaspoon value by 0.311034768. The converter above does this instantly to whatever precision you set.
How do I convert decagram per cup back to grain per teaspoon?
Use the reverse factor: 1 decagram per cup equals 3.215074657 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 decagram per cup?
Decagram per Cup (dag/cup) is a unit of density.
Is the grain per teaspoon to decagram per cup conversion exact?
Yes. Both grain per teaspoon and decagram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.311034768 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.