Mass per volume density.
Carats per Cup to Drams per Cubic foot Converter — ct/cup to dr/ft3
Convert Carat per Cup (ct/cup) to Dram per Cubic foot (dr/ft3) using the exact conversion factor (1 carat per cup = 13.51001905 dram per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cup to Drams per Cubic foot 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 / 0.06257212255.
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 Drams per Cubic foot
Carat per Cup and Dram per Cubic foot 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 cubic foot = carats per cup × 13.5100190474
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 dram per cubic foot equals 0.0625721225545 base units, so dividing one by the other gives the direct carat per cup-to-dram per cubic foot factor of 13.5100190474.
Simple example
1 ct/cup × 13.51001905 = 13.51001905 dr/ft3
1 carat per cup = 13.51001905 drams per cubic foot.
Real-world example
1,000 ct/cup × 13.51001905 = 13,510.01905 dr/ft3
1,000 carats per cup = 13,510.01905 drams per cubic foot.
Conversion table
| Carat per Cup (ct/cup) | Dram per Cubic foot (dr/ft3) |
|---|---|
| 0.1 ct/cup | 1.351001905 dr/ft3 |
| 1 ct/cup | 13.51001905 dr/ft3 |
| 10 ct/cup | 135.1001905 dr/ft3 |
| 100 ct/cup | 1,351.001905 dr/ft3 |
| 1,000 ct/cup | 13,510.01905 dr/ft3 |
| 10,000 ct/cup | 135,100.1905 dr/ft3 |
Reverse conversion: Dram per Cubic foot to Carat per Cup
13.51001905 dr/ft3 × 0.07401914065 = 1 ct/cup
13.51001905 drams per cubic foot = 1 carats per cup.
carats per cup = drams per cubic foot × 0.0740191406462
For a page dedicated to this direction, see Dram per Cubic foot to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Dram per Cubic foot (dr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cubic foot are in 1 carat per cup?
1 carat per cup equals 13.51001905 drams per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to dram per cubic foot?
Multiply the carat per cup value by 13.51001905. The converter above does this instantly to whatever precision you set.
How do I convert dram per cubic foot back to carat per cup?
Use the reverse factor: 1 dram per cubic foot equals 0.0740191407 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 dram per cubic foot?
Dram per Cubic foot (dr/ft3) is a unit of density.
Is the carat per cup to dram per cubic foot conversion exact?
Yes. Both carat per cup and dram per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 13.51001905 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.