Mass per volume density.
Decagrams per Teaspoon to Grains per Cup Converter — dag/tsp to gr/cup
Convert Decagram per Teaspoon (dag/tsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 decagram per teaspoon = 7,407.532009 grain per cup). See the formula, worked examples, and conversion table.
Decagrams 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 2028.841362 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Decagrams per Teaspoon to Grains per Cup
Decagram 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 = decagrams per teaspoon × 7407.53200941
This factor comes from each unit's defined relationship to the category's base unit: 1 decagram per teaspoon equals 2028.84136211 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct decagram per teaspoon-to-grain per cup factor of 7407.53200941.
Simple example
1 dag/tsp × 7407.532009 = 7,407.532009 gr/cup
1 decagram per teaspoon = 7,407.532009 grains per cup.
Real-world example
1,000 dag/tsp × 7407.532009 = 7,407,532.009 gr/cup
1,000 decagrams per teaspoon = 7,407,532.009 grains per cup.
Conversion table
| Decagram per Teaspoon (dag/tsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 dag/tsp | 740.7532009 gr/cup |
| 1 dag/tsp | 7,407.532009 gr/cup |
| 10 dag/tsp | 74,075.32009 gr/cup |
| 100 dag/tsp | 740,753.2009 gr/cup |
| 1,000 dag/tsp | 7,407,532.009 gr/cup |
| 10,000 dag/tsp | 74,075,320.09 gr/cup |
Reverse conversion: Grain per Cup to Decagram per Teaspoon
1 gr/cup × 0.0001349977292 = 0.0001349977 dag/tsp
1 grain per cup = 0.0001349977 decagrams per teaspoon.
decagrams per teaspoon = grains per cup × 0.000134997729167
For a page dedicated to this direction, see Grain per Cup to Decagram per Teaspoon.
Understanding the Decagram per Teaspoon (dag/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 decagram per teaspoon?
1 decagram per teaspoon equals 7,407.532009 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert decagram per teaspoon to grain per cup?
Multiply the decagram per teaspoon value by 7407.532009. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to decagram per teaspoon?
Use the reverse factor: 1 grain per cup equals 0.0001349977 decagrams per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a decagram per teaspoon?
Decagram per Teaspoon (dag/tsp) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the decagram per teaspoon to grain per cup conversion exact?
Yes. Both decagram per teaspoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 7407.532009 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.