Mass per volume density.
Carats per Teaspoon to Grains per Cup Converter — ct/tsp to gr/cup
Convert Carat per Teaspoon (ct/tsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per teaspoon = 148.1506402 grain per cup). See the formula, worked examples, and conversion table.
Carats 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 40.57682724 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Teaspoon to Grains per Cup
Carat 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 = carats per teaspoon × 148.150640188
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per teaspoon equals 40.5768272422 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per teaspoon-to-grain per cup factor of 148.150640188.
Simple example
1 ct/tsp × 148.1506402 = 148.1506402 gr/cup
1 carat per teaspoon = 148.1506402 grains per cup.
Real-world example
1,000 ct/tsp × 148.1506402 = 148,150.6402 gr/cup
1,000 carats per teaspoon = 148,150.6402 grains per cup.
Conversion table
| Carat per Teaspoon (ct/tsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/tsp | 14.81506402 gr/cup |
| 1 ct/tsp | 148.1506402 gr/cup |
| 10 ct/tsp | 1,481.506402 gr/cup |
| 100 ct/tsp | 14,815.06402 gr/cup |
| 1,000 ct/tsp | 148,150.6402 gr/cup |
| 10,000 ct/tsp | 1,481,506.402 gr/cup |
Reverse conversion: Grain per Cup to Carat per Teaspoon
148.1506402 gr/cup × 0.006749886458 = 1 ct/tsp
148.1506402 grains per cup = 1 carats per teaspoon.
carats per teaspoon = grains per cup × 0.00674988645833
For a page dedicated to this direction, see Grain per Cup to Carat per Teaspoon.
Understanding the Carat per Teaspoon (ct/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 carat per teaspoon?
1 carat per teaspoon equals 148.1506402 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per teaspoon to grain per cup?
Multiply the carat per teaspoon value by 148.1506402. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per teaspoon?
Use the reverse factor: 1 grain per cup equals 0.0067498865 carats per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per teaspoon?
Carat per Teaspoon (ct/tsp) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per teaspoon to grain per cup conversion exact?
Yes. Both carat per teaspoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 148.1506402 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.