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The correct way to calculate the gallons of water in a swimming pool is:

Volume (in cubic feet) X  7.48 US Gallons per cubic foot = Total US Gallons

Volume = Height (ft) X Width (ft) X Length (ft)

This is roughly true for pools that are rectangular (including square) or free form, although some pool sites suggest using a multiplier of 7.5 instead.

For Round pools and Oval pools, which are typical above ground shapes, you can get an approximate answer by finding:

Length (ft) X Width (ft) X Depth (ft) X 5.9 = Total US Gallons