Mass per volume density.
Grains per Cup to Carats per Teaspoon Converter — gr/cup to ct/tsp
Convert Grain per Cup (gr/cup) to Carat per Teaspoon (ct/tsp) using the exact conversion factor (1 grain per cup = 0.0067498865 carat per teaspoon). See the formula, worked examples, and conversion table.
Grains per Cup to Carats 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 0.2738889767 / 40.57682724.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Teaspoon
Grain per Cup and Carat 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
carats per teaspoon = grains per cup × 0.00674988645833
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per teaspoon equals 40.5768272422 base units, so dividing one by the other gives the direct grain per cup-to-carat per teaspoon factor of 0.00674988645833.
Simple example
1 gr/cup × 0.006749886458 = 0.0067498865 ct/tsp
1 grain per cup = 0.0067498865 carats per teaspoon.
Real-world example
1,000 gr/cup × 0.006749886458 = 6.749886458 ct/tsp
1,000 grains per cup = 6.749886458 carats per teaspoon.
Conversion table
| Grain per Cup (gr/cup) | Carat per Teaspoon (ct/tsp) |
|---|---|
| 0.1 gr/cup | 0.0006749886 ct/tsp |
| 1 gr/cup | 0.0067498865 ct/tsp |
| 10 gr/cup | 0.0674988646 ct/tsp |
| 100 gr/cup | 0.6749886458 ct/tsp |
| 1,000 gr/cup | 6.749886458 ct/tsp |
| 10,000 gr/cup | 67.49886458 ct/tsp |
Reverse conversion: Carat per Teaspoon to Grain per Cup
0.0067498865 ct/tsp × 148.1506402 = 1.000000006 gr/cup
0.0067498865 carats per teaspoon = 1.000000006 grains per cup.
grains per cup = carats per teaspoon × 148.150640188
For a page dedicated to this direction, see Carat per Teaspoon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Teaspoon (ct/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per teaspoon are in 1 grain per cup?
1 grain per cup equals 0.0067498865 carats per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per teaspoon?
Multiply the grain per cup value by 0.006749886458. The converter above does this instantly to whatever precision you set.
How do I convert carat per teaspoon back to grain per cup?
Use the reverse factor: 1 carat per teaspoon equals 148.1506402 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
Is the grain per cup to carat per teaspoon conversion exact?
Yes. Both grain per cup and carat per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.006749886458 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.