Aquarium planning

Aquarium formula library

The core maths used by the calculators, separated from care and equipment decisions that are not universal formulas.

Photorealistic image of aquarium rocks, plants and tropical fish

Core formulas

These formulas are the arithmetic used across the site. Units matter. The examples below use centimetres and litres because the conversion is direct.

Rectangular litres = length cm × width cm × water height cm ÷ 1,000
Cylinder litres = π × radius² cm × water height cm ÷ 1,000
Water change litres = actual water volume × percentage ÷ 100
Target flow L/h = water volume L × chosen turnovers per hour
Substrate L = base length cm × base width cm × average depth cm ÷ 1,000

Conversion constants

Litres to UK gallons
Divide by 4.54609.
Litres to US gallons
Divide by 3.785411784.
Cubic centimetres to litres
Divide by 1,000.
Watts to kilowatts
Divide by 1,000 before multiplying by hours.
Photorealistic image of aquarium rocks, plants and tropical fish

The site exposes its arithmetic so a result can be independently checked.

What is intentionally not a formula

Stocking, fish health, structural safety and exact heater selection are not reduced to universal equations here. Those decisions depend on species, building structure, equipment design or environmental conditions that a generic page cannot observe.

Core formulas used across the site

rectangular litres = length cm × width cm × water height cm ÷ 1,000
cylinder litres = π × radius cm² × water height cm ÷ 1,000
water-change litres = actual water litres × chosen percentage ÷ 100
turnover per hour = delivered flow L/h ÷ actual water litres
daily kWh = watts × hours ÷ 1,000

Each tool page explains which inputs are measured facts, which are user choices and which are only scenario assumptions. That distinction is more important than hiding the formula behind a button.

Rounding rule

Calculations use the full numerical inputs and round only the displayed result. If you round the dimensions first and then multiply, the error can become larger on big tanks because the dimensions are multiplied together.