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Free operator math workspace

Calculate it. Check the units. See the work.

Six practical calculators for water treatment, distribution, and wastewater operations. Results stay in your browser; nothing is submitted or stored.

Start calculating
Training tool, not a process-control order. Verify plant-specific units, chemical product data, calibration, and standard operating procedures before changing an operating setpoint.

Calculator 01

Flow conversion

Convert between gallons per minute, million gallons per day, and cubic feet per second.

1 MGD = 694.444 GPM
Example: 1,000 GPM = 1.44 MGD.
Converted flow
1.44
MGD
1,000 GPM ÷ 694.444 = 1.44 MGD

Calculator 02

Tank volume

Calculate gallons in rectangular or circular tanks using inside dimensions.

ft³ × 7.48052 = gal
Rectangular example: 40 × 20 × 12 × 7.48052 = 71,813 gallons.
Tank volume
71,813
gallons
40 ft × 20 ft × 12 ft × 7.48052 gal/ft³

Calculator 03

Detention time

Estimate theoretical time in a tank from liquid volume and flow.

hours = gal ÷ GPM ÷ 60
Example: 250,000 gal ÷ 1,000 GPM ÷ 60 = 4.17 hours.
Theoretical detention time
4.17
hours
250,000 ÷ 1,000 ÷ 60

Calculator 04

Pounds per day

Convert flow and concentration to a daily mass loading.

lb/day = MGD × mg/L × 8.34
Example: 2.0 MGD × 15 mg/L × 8.34 = 250.2 lb/day.
Mass loading
250.2
lb/day
2.0 × 15 × 8.34

Calculator 05

Liquid chemical feed

Estimate gallons per day of a liquid solution from flow, target dose, strength, and specific gravity.

gal/day = lb/day ÷ (% × SG × 8.34)
Example: 2 MGD at 3 mg/L using 12.5% solution, SG 1.2 ≈ 40 gal/day.
Estimated solution feed
40.0
gal/day
50.04 lb/day ÷ (0.125 × 1.2 × 8.34)

Calculator 06

Sludge Volume Index (SVI)

Wastewater activated-sludge settling indicator using 30-minute settled volume and MLSS.

SVI = mL/L × 1,000 ÷ mg/L
Example: 240 mL/L × 1,000 ÷ 3,000 mg/L = 80 mL/g.
Sludge Volume Index
80.0
mL/g
240 × 1,000 ÷ 3,000

Unit reference

Formulas worth memorizing

The calculator shows the work, but operators still need to recognize the unit pattern and know when a result is unreasonable.

Daily mass

MGD × mg/L × 8.34 = lb/day

Use when flow is in million gallons per day and concentration is in milligrams per liter.

Detention time

gallons ÷ GPM ÷ 60 = hours

Use liquid volume, not total structural volume above the water surface.

Rectangular tank

L × W × depth × 7.48052 = gallons

All dimensions must be feet.

Circular tank

π × (D ÷ 2)² × depth × 7.48052

Use inside diameter and actual water depth.