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Formula · units · worked result

Set up operator math before touching the calculator.

Use the calculators to verify a setup, then generate fresh drills until the units and formula choice become automatic.

The rule that prevents most mistakesWrite units on every value → convert to compatible units → select the formula → estimate the magnitude → calculate → label the answer.
FLOW

Flow conversion

1 MGD ≈ 694.444 gpm · 1 cfs ≈ 448.831 gpm

VOLUME

Tank volume

Rectangular: L × W × depth · Circular: π × radius² × depth · 7.48052 gal/ft³

TIME

Detention time

Time (min) = volume (gal) ÷ flow (gpm)

MASS

Pounds per day

lb/day = MGD × mg/L × 8.34

CHEMICAL

Liquid product feed

First find active lb/day, then divide by product strength as a decimal.

SOLIDS

Sludge Volume Index

SVI (mL/g) = settled sludge (mL/L) ÷ MLSS (g/L)

Operational boundary: A calculator does not replace a facility SOP, calibrated instrument, approved dose-control method, or supervisor review.