Mass per volume density.
Carats per Cup to Short tons per Cubic Meter Converter — ct/cup to ton/m3
Convert Carat per Cup (ct/cup) to Short ton per Cubic Meter (ton/m3) using the exact conversion factor (1 carat per cup = 0.0009318395 short ton per cubic meter). See the formula, worked examples, and conversion table.
Carats per Cup to Short tons per Cubic Meter 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 0.8453505675 / 907.18474.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Short tons per Cubic Meter
Carat per Cup and Short ton per Cubic Meter 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
short tons per cubic meter = carats per cup × 0.000931839492302
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 short ton per cubic meter equals 907.18474 base units, so dividing one by the other gives the direct carat per cup-to-short ton per cubic meter factor of 0.000931839492302.
Simple example
1 ct/cup × 0.0009318394923 = 0.0009318395 ton/m3
1 carat per cup = 0.0009318395 short tons per cubic meter.
Real-world example
1,000 ct/cup × 0.0009318394923 = 0.9318394923 ton/m3
1,000 carats per cup = 0.9318394923 short tons per cubic meter.
Conversion table
| Carat per Cup (ct/cup) | Short ton per Cubic Meter (ton/m3) |
|---|---|
| 0.1 ct/cup | 0.0000931839 ton/m3 |
| 1 ct/cup | 0.0009318395 ton/m3 |
| 10 ct/cup | 0.0093183949 ton/m3 |
| 100 ct/cup | 0.0931839492 ton/m3 |
| 1,000 ct/cup | 0.9318394923 ton/m3 |
| 10,000 ct/cup | 9.318394923 ton/m3 |
Reverse conversion: Short ton per Cubic Meter to Carat per Cup
0.0009318395 ton/m3 × 1073.146189 = 1.000000008 ct/cup
0.0009318395 short tons per cubic meter = 1.000000008 carats per cup.
carats per cup = short tons per cubic meter × 1073.14618908
For a page dedicated to this direction, see Short ton per Cubic Meter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Short ton per Cubic Meter (ton/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many short tons per cubic meter are in 1 carat per cup?
1 carat per cup equals 0.0009318395 short tons per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to short ton per cubic meter?
Multiply the carat per cup value by 0.0009318394923. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cubic meter back to carat per cup?
Use the reverse factor: 1 short ton per cubic meter equals 1,073.146189 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a short ton per cubic meter?
Short ton per Cubic Meter (ton/m3) is a unit of density.
Is the carat per cup to short ton per cubic meter conversion exact?
Yes. Both carat per cup and short ton per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 0.0009318394923 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.