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{{ shapeLabel }} Waterline Shallow Deep
Pool volume planning inputs
Pool water geometry and planning inputs
The shared unit applies to this footprint pair; changing it preserves both physical measurements.
factor
%
hr
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Zero is neutral and correct when the depth pair already starts at the waterline.
Choose the exact reference volume printed on the product label.
Zero leaves dose scaling inactive; the calculator never chooses a treatment amount.
Zero leaves fill cost inactive; enter a USD utility or tanker rate when useful.
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Pool volume worksheet
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Pool volume connects physical measurements to almost every water-side plan: filling time, turnover flow, treatment amounts, water cost, heating load, and leak or evaporation checks. A modest geometry error can scale each of those numbers in the same direction, so measuring the water space is more useful than relying on a model name or nominal pool size.

Two quantities control the first estimate. The waterline footprint gives the surface area, while the depth profile gives the average water depth. Sloping floors are commonly approximated by averaging shallow and deep depths. Steps, benches, sloped walls, covers, equipment niches, and other solid features displace some of the rectangular or curved envelope.

Pool waterline footprint beside a shallow-to-deep water profile

Shape determines how the footprint is modeled. Rectangles, circles, ovals, and two-part L shapes have direct geometric formulas. Kidney and freeform pools use a factor applied to a bounding rectangle, so their results are planning estimates rather than surveyed volumes. Breaking an irregular pool into measured sections or using construction drawings can reduce uncertainty.

The depth numbers should represent water, not shell dimensions. Measuring from the coping while the water sits below it adds air space unless the waterline drop is subtracted. Average depth also assumes a broadly even transition between the shallow and deep readings; a large diving well or long shelf may need section-by-section volume instead.

Treatment labels depend on volume, but a volume estimate does not choose the chemical or amount. Water testing, product concentration, label directions, local operating rules, and professional advice remain necessary. A scaled label dose is only as reliable as both the label basis and the pool measurement.

For later comparisons, record the water level, measurement points, shape method, and displacement assumption. Evaporation, splash-out, backwashing, leaks, and refilling change the water actually present even when the pool shell stays the same.

How to Use This Tool:

Measure at the current waterline, select the closest honest geometry, and keep approximation choices visible.

  1. Choose a Pool profile for a starting point, then replace its values with the actual pool measurements.
  2. Select the pool shape and enter the required waterline footprint dimensions. For an L shape, measure both non-overlapping rectangles; for freeform geometry, choose a factor that represents the fraction of the bounding rectangle filled by water.
  3. Enter shallow and deep water depths in one unit. Add a Waterline drop only when those depths begin at a higher reference such as coping level.
  4. Set built-in feature displacement from 0% through 18%. Use zero when the measured geometry already excludes steps, benches, and other solid features.
  5. Enter a positive fill rate and turnover target if those planning values are needed. Enter a product-label dose only to scale a dose you have already selected from the label.
    Do not infer a treatment amount from volume alone. Test the water and follow the current product label before handling pool chemicals.
  6. Review the volume worksheet and depth-sensitivity range. Remeasure when plausible depth changes materially affect dosing, equipment, delivery, or cost decisions.

Interpreting Results:

Net volume is the main water estimate after the selected displacement percentage. Litres, US gallons, imperial gallons, cubic feet, and water weight are conversions of the same net volume.

  • Geometry-ready uses a direct footprint formula with less than 8% displacement.
  • Feature-adjusted means displacement is 8% or more, so solid-feature assumptions materially affect the result.
  • Estimate band marks kidney and freeform factors, where the footprint is intentionally approximate.
  • Fill time assumes the entered flow remains constant. Turnover flow is the average rate required to move one pool volume in the selected hours; it is not a pump-sizing or hydraulic-design approval.
  • The sensitivity values change volume from 80% to 120% of the estimate. They show consequence, not statistical confidence.

Technical Details:

All geometry is converted to metres before volume is calculated. The selected footprint formula produces waterline area A. Shallow and deep depths are reduced by any waterline drop, then averaged. A displacement percentage reduces gross geometric volume to the estimated water volume.

Formula Core:

The shared depth and volume equations apply to every footprint shape.

davg=(dshallow-drop)+(ddeep-drop)2 Vgross=Adavg Vnet=Vgross(1-displacement100)
Pool footprint area formulas
ShapeWaterline areaInterpretation
Rectangle or squarelength × widthDirect geometry
Roundπ × (diameter ÷ 2)²Direct geometry
Ovalπ ÷ 4 × length × widthEllipse geometry
Kidney or oblong0.85 × length × widthPlanning approximation
L-shapedmain rectangle + return rectangleRectangles must not overlap
Freeformselected factor × length × widthFactor from 0.45 through 1.00

One cubic metre equals 1,000 L. US gallons use 3.785411784 L per gallon; imperial gallons use 4.54609 L per gallon. Cubic feet use 35.31466672148859 ft³ per m³. Water weight is approximated as 1 kg per litre, then converted at 2.204622621848776 lb per kg.

Fill time and turnover rate use net volume:

tfill=VlitersQfill×60 Qturnover=Vliterstturnover×60

A metric label basis scales by net cubic metres ÷ 10. A US label basis scales by US gallons ÷ 10,000. The entered dose amount is multiplied by that factor without converting the selected dose unit. Water cost likewise uses either net cubic metres or thousands of US gallons, according to the chosen rate basis.

Rule Core:

Pool estimate confidence labels
LabelRuleInterpretation
Estimate bandKidney or freeform shapeThe footprint uses an approximation factor.
Feature-adjustedDirect geometry and displacement ≥ 8%Solid-feature assumptions materially reduce the envelope.
Geometry-readyDirect geometry and displacement < 8%The estimate uses the selected direct shape formula with a smaller feature adjustment.

The waterline drop must be less than both entered depths. Fill rate must be greater than zero. Displacement is limited to 0% through 18%, turnover target to 2 through 24 hours, and freeform factor to 0.45 through 1.00, with all endpoints included.

Limitations and Safety Notes:

  • Kidney and freeform factors, uniform depth averaging, and feature displacement are approximations. Use drawings, water-meter readings, or section measurements when a high-stakes decision needs better evidence.
  • Flow can change with supply pressure, hose length, filter loading, pump curve, and plumbing resistance. Treat fill and turnover figures as planning rates.
  • Only trained people should handle pool chemicals. Follow the product label and safety data sheet, wear required protective equipment, store chemicals separately, and never mix incompatible products.

Worked Examples:

Rectangular metric pool with built-in features

A 10 × 5 m footprint with 1.1 m shallow water, 1.8 m deep water, no waterline drop, and 3% displacement has a 1.45 m average depth. Gross volume is 72.5 m³ and net volume is 70.325 m³, or 70,325 L and about 18,578 US gal. At 38 L/min, a constant fill would take about 30.84 hours.

Round above-ground pool

A 24 ft diameter pool filled to a uniform 4 ft depth with no displacement contains about 51,241 L, or 13,536 US gal. An 8 US gpm supply would take about 28.2 hours if the rate stayed constant. Measuring actual water depth rather than wall height prevents air space above the water from being counted.

References: