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Answer:
21.2 ft³/h
Step-by-step explanation:
It's a units conversion problem. The conversion factors are each some representation of 1. That is, the numerator value is the same measure as the denominator value, but with different units.
10 L/min × (1 dm³/L) × ((1 ft)/(3.048 dm))³ × (60 min/h) = (10×60/3.048³) ft³/h
≈ 21.2 ft³/h
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Additional comment
A decimeter (dm) is 10 cm, or 0.1 m. A cube with this dimension has a volume of 1000 cm³ = 1 liter. A foot is 30.48 cm, or 3.048 dm. I personally find it convenient to use dm as a metric unit of distance in problems involving volumes in liters.