Mass per volume density.
Grains per Teaspoon to Kilograms per Cup Converter — gr/tsp to kg/cup
Convert Grain per Teaspoon (gr/tsp) to Kilogram per Cup (kg/cup) using the exact conversion factor (1 grain per teaspoon = 0.0031103477 kilogram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Kilograms 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 / 4226.752838.
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 Kilograms per Cup
Grain per Teaspoon and Kilogram 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
kilograms per cup = grains per teaspoon × 0.00311034768
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 kilogram per cup equals 4226.75283773 base units, so dividing one by the other gives the direct grain per teaspoon-to-kilogram per cup factor of 0.00311034768.
Simple example
1 gr/tsp × 0.00311034768 = 0.0031103477 kg/cup
1 grain per teaspoon = 0.0031103477 kilograms per cup.
Real-world example
1,000 gr/tsp × 0.00311034768 = 3.11034768 kg/cup
1,000 grains per teaspoon = 3.11034768 kilograms per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Kilogram per Cup (kg/cup) |
|---|---|
| 0.1 gr/tsp | 0.0003110348 kg/cup |
| 1 gr/tsp | 0.0031103477 kg/cup |
| 10 gr/tsp | 0.0311034768 kg/cup |
| 100 gr/tsp | 0.311034768 kg/cup |
| 1,000 gr/tsp | 3.11034768 kg/cup |
| 10,000 gr/tsp | 31.1034768 kg/cup |
Reverse conversion: Kilogram per Cup to Grain per Teaspoon
0.0031103477 kg/cup × 321.5074657 = 1.000000006 gr/tsp
0.0031103477 kilograms per cup = 1.000000006 grains per teaspoon.
grains per teaspoon = kilograms per cup × 321.507465686
For a page dedicated to this direction, see Kilogram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Kilogram per Cup (kg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many kilograms per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 0.0031103477 kilograms per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to kilogram per cup?
Multiply the grain per teaspoon value by 0.00311034768. The converter above does this instantly to whatever precision you set.
How do I convert kilogram per cup back to grain per teaspoon?
Use the reverse factor: 1 kilogram per cup equals 321.5074657 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 kilogram per cup?
Kilogram per Cup (kg/cup) is a unit of density.
Is the grain per teaspoon to kilogram per cup conversion exact?
Yes. Both grain per teaspoon and kilogram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00311034768 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.