Square Pot Volume Liter Calculator
Integrate actual straight independently tapered rectangular pot walls at caller fill height; not nominal square-pot prism formula or trade gallon, no media settling/drainage correction.
Description
A rectangular pot with straight tapered walls has an area that changes with height.
A rectangular pot with straight tapered walls has an area that changes with height. Independently tapering width and length require integrating their product.1
Enter positive bottom/top interior widths/lengths and height in cm, fill height0–H. Return modeled filled liters and full top interior area.
When to use Square Pot Volume Liter Calculator
Use Square Pot Volume Liter Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. Zero fill is allowed. No trade-gallon label, drainage displacement, curved walls or settling is modeled.
Prepare measured container, labor, environmental or inventory records and independently verified stage limits requested. Keep units, temperature conditions and dates consistent.
How to use Square Pot Volume Liter Calculator and understand its results
- Prepare measured container, labor, environmental or inventory records and independently verified stage limits requested. Keep units, temperature conditions and dates consistent.
- Enter interiorBottomWidthCm, interiorBottomLengthCm, interiorTopWidthCm, interiorTopLengthCm, interiorPotHeightCm, callerFillHeightCm using the field table and calculation rules, then run the tool.
- Read modeledFilledRectangularPotLiters, modeledTopInteriorAreaCm2. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| interiorBottomWidthCm | Interior bottom width cm | number | Required |
| interiorBottomLengthCm | Interior bottom length cm | number | Required |
| interiorTopWidthCm | Interior top width cm | number | Required |
| interiorTopLengthCm | Interior top length cm | number | Required |
| interiorPotHeightCm | Interior pot height cm | number | Required |
| callerFillHeightCm | Caller fill height cm | number | Required |
Enter positive bottom/top interior widths/lengths and height in cm, fill height0–H. Return modeled filled liters and full top interior area.
Vliters=h[wb×lb+(wb×Δl+lb×Δw)f/2+Δw×Δl×f²/3]/1000; f=h/H Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| modeledFilledRectangularPotLiters | Modeled filled rectangular pot liters | number |
| modeledTopInteriorAreaCm2 | Modeled top interior area cm2 | number |
{
"input": {
"interiorBottomWidthCm": 10,
"interiorBottomLengthCm": 10,
"interiorTopWidthCm": 20,
"interiorTopLengthCm": 20,
"interiorPotHeightCm": 15,
"callerFillHeightCm": 15
},
"output": {
"modeledFilledRectangularPotLiters": 3.5,
"modeledTopInteriorAreaCm2": 400
}
}Limitations and assumptions
Zero fill is allowed. No trade-gallon label, drainage displacement, curved walls or settling is modeled.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Round Pot Volume Liter Calculator: Straight tapered circular pot walls define a frustum. Headspace changes both fill height and radius at the fill surface. For a complementary task, use Repot Soil Volume Increase Calculator: New-media demand excludes existing rootball displacement and includes an explicit extra allowance. Inventory margin can remain negative.
References
-
Square Pot Volume Liter Calculator — tool.io
Similar or alternative tools
- Round Pot Volume Liter Calculator
Straight tapered circular pot walls define a frustum. Headspace changes both fill height and radius at the fill surface.
- Repot Soil Volume Increase Calculator
New-media demand excludes existing rootball displacement and includes an explicit extra allowance. Inventory margin can remain negative.