Mass per volume density.
Grains per Teaspoon to Drams per Cup Converter — gr/tsp to dr/cup
Convert Grain per Teaspoon (gr/tsp) to Dram per Cup (dr/cup) using the exact conversion factor (1 grain per teaspoon = 1.755428571 dram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Drams 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 / 7.489151707.
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 Drams per Cup
Grain per Teaspoon and Dram 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
drams per cup = grains per teaspoon × 1.75542857143
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 dram per cup equals 7.48915170731 base units, so dividing one by the other gives the direct grain per teaspoon-to-dram per cup factor of 1.75542857143.
Simple example
1 gr/tsp × 1.755428571 = 1.755428571 dr/cup
1 grain per teaspoon = 1.755428571 drams per cup.
Real-world example
1,000 gr/tsp × 1.755428571 = 1,755.428571 dr/cup
1,000 grains per teaspoon = 1,755.428571 drams per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Dram per Cup (dr/cup) |
|---|---|
| 0.1 gr/tsp | 0.1755428571 dr/cup |
| 1 gr/tsp | 1.755428571 dr/cup |
| 10 gr/tsp | 17.55428571 dr/cup |
| 100 gr/tsp | 175.5428571 dr/cup |
| 1,000 gr/tsp | 1,755.428571 dr/cup |
| 10,000 gr/tsp | 17,554.28571 dr/cup |
Reverse conversion: Dram per Cup to Grain per Teaspoon
1.755428571 dr/cup × 0.5696614583 = 0.9999999998 gr/tsp
1.755428571 drams per cup = 0.9999999998 grains per teaspoon.
grains per teaspoon = drams per cup × 0.569661458333
For a page dedicated to this direction, see Dram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 1.755428571 drams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to dram per cup?
Multiply the grain per teaspoon value by 1.755428571. The converter above does this instantly to whatever precision you set.
How do I convert dram per cup back to grain per teaspoon?
Use the reverse factor: 1 dram per cup equals 0.5696614583 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 dram per cup?
Dram per Cup (dr/cup) is a unit of density.
Is the grain per teaspoon to dram per cup conversion exact?
Yes. Both grain per teaspoon and dram per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.755428571 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.