Guest Column | March 8, 2016

Math Solutions: More Volume Calculations

Wastewater Dan Theobald

By Daniel Theobald, "Wastewater Dan"


Water Online contributor Dan Theobald provides a second round of “Math Solutions” devoted to volume calculations (see the initial installment here). Based on 24-plus years of experience in training and consultation, tutorials from “Wastewater Dan” are designed to help the operator both in the field and while sitting for certification exams.

Presented in easy-to-follow videos, the following mathematical templates provide the foundation for performing accurate wastewater calculations. They also offer definitions, explanations, and alternative applications for the calculations beyond the specific examples shown. In addition to operators, the videos can serve educators, engineers, regulators, and others.

Volume calculations, having different requirements according to plant and application, may require volume to be expressed as square feet, cubic feet, increment of millions, etc.  Some may even incorporate a time element in the solution. Calculations with pipes or shapes of tanks require explicit formula use.

Some common volume calculations are accessible below:

Calculate Volume

Calculate liters in a treatment tank:


Calculate square feet of rectangular tank:


Calculate Cubic Feet of Square / Rectangle Tank:


Calculate cubic feet of a circular tank:

Playlist of 10+ volume calculations

Playlist of all my 115+ “Math Solutions”

This is the More Volume! Calculations presentation in my series of “Math Solutions.”  If you have specific wastewater math queries, please submit a question.

About Dan Theobald:

Known in the industry as “Wastewater Dan,” Daniel L. Theobald, proprietor of Environmental Services (, is a professional wastewater and safety consultant/trainer. He has more than 24 years of hands-on industry experience operating many variants of wastewater treatment processing units and is eager to share with others his knowledge about water conservation.

Theobald serves as an active consultant for industries looking to achieve and maintain improved wastewater treatment at reduced cost. He is a Lifetime Member of the Who’s Who Registry of Professionals and holds numerous certifications from wastewater management regulatory boards and professional organizations. Theobald contributed one chapter to the Water Environment Federation’s ( Manual of Practice # 37 (MOP-37), a technical manual resource guide for biological nutrient removal, published in 2013.

Image credit: "Belebungsbecken - aeration tank," SuSanA Secretariat © 2011, used under an Attribution 2.0 Generic license: