Mass per volume density.
Decagrams per Cup to Grains per Teaspoon Converter — dag/cup to gr/tsp
Convert Decagram per Cup (dag/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 decagram per cup = 3.215074657 grain per teaspoon). See the formula, worked examples, and conversion table.
Decagrams 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 42.26752838 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Decagrams per Cup to Grains per Teaspoon
Decagram 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 = decagrams per cup × 3.21507465686
This factor comes from each unit's defined relationship to the category's base unit: 1 decagram per cup equals 42.2675283773 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct decagram per cup-to-grain per teaspoon factor of 3.21507465686.
Simple example
1 dag/cup × 3.215074657 = 3.215074657 gr/tsp
1 decagram per cup = 3.215074657 grains per teaspoon.
Real-world example
1,000 dag/cup × 3.215074657 = 3,215.074657 gr/tsp
1,000 decagrams per cup = 3,215.074657 grains per teaspoon.
Conversion table
| Decagram per Cup (dag/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 dag/cup | 0.3215074657 gr/tsp |
| 1 dag/cup | 3.215074657 gr/tsp |
| 10 dag/cup | 32.15074657 gr/tsp |
| 100 dag/cup | 321.5074657 gr/tsp |
| 1,000 dag/cup | 3,215.074657 gr/tsp |
| 10,000 dag/cup | 32,150.74657 gr/tsp |
Reverse conversion: Grain per Teaspoon to Decagram per Cup
3.215074657 gr/tsp × 0.311034768 = 1 dag/cup
3.215074657 grains per teaspoon = 1 decagrams per cup.
decagrams per cup = grains per teaspoon × 0.311034768
For a page dedicated to this direction, see Grain per Teaspoon to Decagram per Cup.
Understanding the Decagram per Cup (dag/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 decagram per cup?
1 decagram per cup equals 3.215074657 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert decagram per cup to grain per teaspoon?
Multiply the decagram per cup value by 3.215074657. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to decagram per cup?
Use the reverse factor: 1 grain per teaspoon equals 0.311034768 decagrams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a decagram per cup?
Decagram per Cup (dag/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the decagram per cup to grain per teaspoon conversion exact?
Yes. Both decagram per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 3.215074657 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.