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Pool Math & Calculations · 7 min read

How to Calculate Pool Volume (By Shape, With Worked Examples)

Rectangles, ovals, kidneys, circles, and multi-depth pools — the formulas, the unit conversions, and why as-built volumes drift from plans.

Pool volume is the master number. Every chemical dose, every turnover calculation, every filter sizing decision starts with it. Pro operators memorize a handful of formulas and one constant — and can calculate any residential pool's volume in about 60 seconds.

The master formula

Volume (gallons) = Surface Area (ft²) × Average Depth (ft) × 7.48

The 7.48 is a conversion constant — there are 7.48 gallons in one cubic foot of water. Metric: Volume (liters) = Surface Area (m²) × Average Depth (m) × 1000.

Surface area by pool shape

ShapeFormula
RectangleLength × Width
Circleπ × R² (π ≈ 3.14)
OvalLength × Width × 0.785
Kidney(A + B) × Length × 0.45
FreeformSplit into rectangles/circles, sum the parts

For kidney pools, A is the width at the widest point and B is the width at the narrowest point.

Average depth for multi-depth pools

For pools with a shallow end, deep end, and transition, use:

Average depth = (Shallow depth + Deep depth) ÷ 2

This is approximate — good enough for dosing. If you need precision (sizing a filter for code), you can weight by surface-area ratios of each section.

Worked example: typical FL backyard pool

Pool: 32 ft × 16 ft rectangle, shallow 3 ft, deep 7 ft.
Surface area: 32 × 16 = 512 ft²
Average depth: (3 + 7) ÷ 2 = 5 ft
Volume: 512 × 5 × 7.48 = ~19,150 gallons

Worked example: kidney pool

Pool: Kidney, 28 ft long, widest 14 ft, narrowest 10 ft, uniform 5 ft deep.
Surface area: (14 + 10) × 28 × 0.45 = 302.4 ft²
Volume: 302.4 × 5 × 7.48 = ~11,310 gallons

Why as-built volume drifts from plans

Real-world volumes can differ from blueprints by ±5% due to:

  • Plaster thickness variation
  • Tile and grout displacement
  • Steps and bench seats
  • Swim-outs and sun shelves
  • Spill-over spas and attached features

For a new pool where chemistry matters, verify volume using a water meter reading during fill (if available) or by dye-tracer methods on commercial pools. For dosing, calculated volume is almost always close enough.

Conversion constants to memorize

  • 1 ft³ of water = 7.48 gallons = ~62.4 lbs
  • 1 gallon = 3.785 liters
  • 1 inch of depth over 1 ft² = 0.623 gallons
  • π ≈ 3.14 (or 3.14159 for the precise)

Want a pro to handle all of this for you?

Our CPO-certified techs run this exact playbook on every weekly service visit. Get a free quote.

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