Grecian Pool Volume Formula
Start with the full rectangular pool area, then subtract the area trimmed by the 4 clipped corners.
This assumes 4 matching 45-degree corner trims and is a planning estimate. 1 US gallon equals 3.785 litres.
Calculate water volume for Grecian-style pools with cut corners and bevelled ends.
Actual water capacity may vary due to steps, benches, slopes, rounded corners, and the normal waterline.
Water weight only, not total structural load.
Use this as a circulation estimate. Pump sizing also depends on plumbing, filters, and total dynamic head.
Quick estimates use the calculated pool volume and common planning formulas. Follow the product label, circulate, and re-test before adding more.
Start with the full rectangular pool area, then subtract the area trimmed by the 4 clipped corners.
This assumes 4 matching 45-degree corner trims and is a planning estimate. 1 US gallon equals 3.785 litres.
Use actual water depth or a representative average depth, not the full wall or shell height.
Curved or irregular shapes remain planning estimates unless the geometry is measured in more detail.
Steps, benches, or tanning ledges that materially change pool volume should be accounted for separately.
The Grecian pool volume calculator uses a clipped-rectangle model that subtracts the four angled corners from a full rectangle before multiplying by depth. The formula is: (length × width − 2 × corner cut²) × average depth × 7.48. For manual calculations on geometric and clipped pool designs, visit manual pool-volume formulas.
Measure the overall length and width of the pool at the widest points, then measure the corner cut — the straight distance across each clipped corner. All four corners are assumed equal in this model. Use actual water depth, not wall height, and use the average of shallow-end and deep-end depths if the bottom slopes.
The clipped-rectangle approximation works well for pools with symmetrical 45° corner cuts. Pools with rounded or asymmetrical corners, curved transitions, or decorative column features will produce slightly different real volumes. Treat the result as a solid planning estimate rather than an exact measurement.
The Grecian calculator uses a clipped-rectangle model: (length × width − 2 × corner²) × depth × 7.48052. The corner subtraction and all five output unit conversions are verified against NIST-referenced factors.
Deterministic QA confirms that the code correctly subtracts the corner areas and produces consistent multi-unit output. Verification means the clipped-rectangle approximation is mathematically sound — real Grecian pools with rounded or asymmetrical corners may differ from this simplified model.
Use the main pool volume result with specialized calculators for water care, pumps, heaters, decks, covers, and pool capacity planning.
Choose the shape that best matches the pool.
Use these for specific layouts and planning cases.
Turn volume and surface area into practical next steps.
Use your calculated pool volume for dosing estimates.
Common questions about calculating pool water volume.
Use Volume (US gallons) = ((Pool Length x Pool Width) - (2 x Corner Cut²)) x Average Depth x 7.48. Estimate the full rectangle first, then subtract the four clipped corners before applying average water depth.
A 20 x 36 ft Grecian Pool with 5 ft holds about 24,300 US gallons (91,986 litres). If the corners are not symmetrical or the pool has benches, tanning ledges, or custom ends, measuring separate sections gives a better estimate.
Measure the maximum inside length, maximum inside width, corner-cut size, and the true average water depth.
If the corners are not symmetrical or the pool has benches, tanning ledges, or custom ends, measuring separate sections gives a better estimate.