Mass per volume density.
Pounds per Cubic Meter to Short tons per Cup Converter — lb/m3 to ton/cup
Convert Pound per Cubic Meter (lb/m3) to Short ton per Cup (ton/cup) using the exact conversion factor (1 pound per cubic meter = 1.182941e-7 short ton per cup). See the formula, worked examples, and conversion table.
Pounds per Cubic Meter to Short tons 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 0.45359237 / 3.83444567e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pounds per Cubic Meter to Short tons per Cup
Pound per Cubic Meter and Short ton 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
short tons per cup = pounds per cubic meter × 1.182941e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cubic meter equals 0.45359237 base units, and 1 short ton per cup equals 3834445.67414 base units, so dividing one by the other gives the direct pound per cubic meter-to-short ton per cup factor of 1.182941e-7.
Simple example
1 lb/m3 × 1.182941e-7 = 1.182941e-7 ton/cup
1 pound per cubic meter = 1.182941e-7 short tons per cup.
Real-world example
1,000 lb/m3 × 1.182941e-7 = 0.0001182941 ton/cup
1,000 pounds per cubic meter = 0.0001182941 short tons per cup.
Conversion table
| Pound per Cubic Meter (lb/m3) | Short ton per Cup (ton/cup) |
|---|---|
| 0.1 lb/m3 | 1.182941e-8 ton/cup |
| 1 lb/m3 | 1.182941e-7 ton/cup |
| 10 lb/m3 | 0.0000011829 ton/cup |
| 100 lb/m3 | 0.0000118294 ton/cup |
| 1,000 lb/m3 | 0.0001182941 ton/cup |
| 10,000 lb/m3 | 0.0011829412 ton/cup |
Reverse conversion: Short ton per Cup to Pound per Cubic Meter
1.182941e-7 ton/cup × 8453505.675 = 0.9999998457 lb/m3
1.182941e-7 short tons per cup = 0.9999998457 pounds per cubic meter.
pounds per cubic meter = short tons per cup × 8453505.67546
For a page dedicated to this direction, see Short ton per Cup to Pound per Cubic Meter.
Understanding the Pound per Cubic Meter (lb/m3)
Mass per volume density.
Understanding the Short ton per Cup (ton/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many short tons per cup are in 1 pound per cubic meter?
1 pound per cubic meter equals 1.182941e-7 short tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic meter to short ton per cup?
Multiply the pound per cubic meter value by 1.182941e-7. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cup back to pound per cubic meter?
Use the reverse factor: 1 short ton per cup equals 8,453,505.675 pounds per cubic meter. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per cubic meter?
Pound per Cubic Meter (lb/m3) is a unit of density.
What is a short ton per cup?
Short ton per Cup (ton/cup) is a unit of density.
Is the pound per cubic meter to short ton per cup conversion exact?
Yes. Both pound per cubic meter and short ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.182941e-7 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.