A cubit is an ancient measure which ranges from 18 to 22 inches. The modern conversion is set at 18 inches or 1.5 feet, so that 1 foot = 1/1.5 cubits. Also, 1 foot = 1/3 yards.
Therefore, 1 square foot = (1/1.5) cubit * (1/3) yards =2/9 cubit yards.
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