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Pillar guide · 3 articles

Pool Math: Volume, Dosage, and the Calculations Every Operator Needs

You can't dose what you can't calculate. This pillar is the math layer of pool operations — pool volume by shape, PPM-to-pounds conversions, and the breakpoint chlorination math that separates a real shock from a wasted bucket.

Pool Math & Calculations — ambient photo

You can't dose what you can't calculate. Every chemistry decision — every bag of shock, every gallon of acid, every scoop of stabilizer — starts with two numbers: pool volume and desired ppm change. Miss either one and you're guessing.

This pillar is the math layer of pool operations. It's on the CPO exam, it's in every serious technician's head, and it turns chemical dosing from guesswork into a ratio you can check.

The three calculations that matter most

  • Pool volume — by shape, in gallons (or liters for metric).
  • PPM-to-dose — “I need 5 ppm more chlorine” → ounces or pounds of product.
  • Breakpoint — the 10× rule for destroying combined chlorine.

The conversion constants you'll use weekly

ConversionValue
Cubic feet to gallons×7.48
Gallons to liters×3.785
Pounds to ounces×16
°F to °C(°F − 32) × 5/9
GPM to LPM×3.785

Every calculation guide in this pillar

All guides in this pillar

7 min read
Pool Volume Calculation

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

Read guide →
8 min read
Chemical Dosage Math

The proportional dosing formula, percent-available-chlorine math, and worked examples for acid, soda ash, CYA, and calcium.

Read guide →
7 min read
Breakpoint Chlorination Math

Why combined chlorine needs 10x FC to break, worked examples for liquid and cal-hypo, and when to use non-chlorine shock instead.

Read guide →
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