Volumetric flow rate.
Cubic yard per Seconds to Cubic inch per Seconds Converter — yd3/s to in3/s
Convert Cubic yard per Seconds (yd3/s) to Cubic inch per Seconds (in3/s) using the exact conversion factor (1 cubic yard per seconds = 46,656 cubic inch per seconds). See the formula, worked examples, and conversion table.
Cubic yard per Seconds to Cubic inch per Seconds converter
Converter
Flow Rate Converter
Convert volumetric flow rates across metric, US, imperial, industrial, and scientific units.
Context values
Some unit families need one extra value for a physically accurate result.
Volumetric flow rate.
Result = input x 0.764554858 / 1.6387064e-5.
Flow rate uses cubic meters per second as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Cubic yard per Seconds to Cubic inch per Seconds
Cubic yard per Seconds and Cubic inch per Seconds both measure volumetric flow rate — how much volume passes a point over time — used to size pipes and pumps, monitor river or stream discharge, control industrial processes, and set medical infusion rates. Both are volumetric flow rate units.
Formula
cubic inch per seconds = cubic yard per seconds × 46656
This factor comes from each unit's defined relationship to the category's base unit: 1 cubic yard per seconds equals 0.764554857984 base units, and 1 cubic inch per seconds equals 0.000016387064 base units, so dividing one by the other gives the direct cubic yard per seconds-to-cubic inch per seconds factor of 46656.
Simple example
1 yd3/s × 46656 = 46,656 in3/s
1 cubic yard per seconds = 46,656 cubic inch per seconds.
Real-world example
60 yd3/s × 46656 = 2,799,360 in3/s
60 cubic yard per seconds = 2,799,360 cubic inch per seconds.
Conversion table
| Cubic yard per Seconds (yd3/s) | Cubic inch per Seconds (in3/s) |
|---|---|
| 0.1 yd3/s | 4,665.6 in3/s |
| 1 yd3/s | 46,656 in3/s |
| 10 yd3/s | 466,560 in3/s |
| 60 yd3/s | 2,799,360 in3/s |
| 100 yd3/s | 4,665,600 in3/s |
| 1,000 yd3/s | 46,656,000 in3/s |
Reverse conversion: Cubic inch per Seconds to Cubic yard per Seconds
1 in3/s × 0.00002143347051 = 0.0000214335 yd3/s
1 cubic inch per seconds = 0.0000214335 cubic yard per seconds.
cubic yard per seconds = cubic inch per seconds × 0.0000214334705075
For a page dedicated to this direction, see Cubic inch per Seconds to Cubic yard per Seconds.
Understanding the Cubic yard per Seconds (yd3/s)
Volumetric flow rate.
Understanding the Cubic inch per Seconds (in3/s)
Volumetric flow rate.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many cubic inch per seconds are in 1 cubic yard per seconds?
1 cubic yard per seconds equals 46,656 cubic inch per seconds, using the exact defined conversion factor rather than an estimate.
How do I convert cubic yard per seconds to cubic inch per seconds?
Multiply the cubic yard per seconds value by 46656. The converter above does this instantly to whatever precision you set.
How do I convert cubic inch per seconds back to cubic yard per seconds?
Use the reverse factor: 1 cubic inch per seconds equals 0.0000214335 cubic yard per seconds. You can also use the swap control in the converter above to flip the direction instantly.
What is a cubic yard per seconds?
Cubic yard per Seconds (yd3/s) is a unit of flow rate.
What is a cubic inch per seconds?
Cubic inch per Seconds (in3/s) is a unit of flow rate.
Is the cubic yard per seconds to cubic inch per seconds conversion exact?
Yes. Both cubic yard per seconds and cubic inch per seconds are defined by fixed standards rather than physical artifacts, so the factor of 46656 used above is exact to as many digits as you choose to display.
What's the difference between volumetric and mass flow rate?
Volumetric flow rate measures the volume of fluid passing a point per unit time (for example, liters per second). Mass flow rate measures the mass instead. For a fluid of constant density the two are directly proportional, but for compressible fluids like gases, mass flow is often the more meaningful quantity.