None, since there can be no conversion. A foot is a measure of length in 1-dimensional space while a gallon is a measure of volume in 3-dimensional space. The two measure different characteristics and, according to the most basic principles of dimensional analysis, any attempt at comparisons or conversions between the two are fundamentally flawed.
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5 ft 6 in = 167.64 centimeters
A 5-gallon container can hold 640 fluid ounces of water.
Fill the 5 gallon can completely. Then pour the water from the 5 gallon can into the 3 gallon can until it's full, leaving 2 gallons in the 5 gallon can. Next, empty the 3 gallon can and pour the remaining 2 gallons from the 5 gallon can into it. Finally, fill the 5 gallon can and pour water into the 3 gallon can until it's full, which removes 1 gallon from the 5 gallon can. This leaves exactly 4 gallons in the 5 gallon can.
5 ft 0 in is equivalent to 152.4 cm.
The conversion from feet to centimeters is 1 ft = 30.48 cm. Therefore, 5 ft 8.5 is approximately 173.99 cm.