1 answer

Dimensional Analysis

Question:

In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft . An acre is 4840 yd^2.
An acre-foot is enough water to supply two typical households for 1.00 yr.
How much would it cost one household per day if it were the only source of water?

Answers

Yard = 0,9144 meters
foot = 0,3048 meters

a square yard = 0,9144m x 0,9144m
a square yard = 0,8312736 m²
an acre = 0,8312736 m² x 4840
an acre = 4.046,8564224 m²
an acre foot = 4.046,8564224 m² x 0,3048
an acre foot = 1,233.48183754 m³

1 liter = one cubic decimeter

1,233.48183754 m³ = 1,233.48183754 m³ x 1000
1,233.48183754 m³ = 1,233,481.83754 dm³ (or liters)
1950 $ : 1,233,481.83754 liters = 0.00158089072 $ per liter

1,233,481.83754 liters : 365 = 3,379.40229463 liters per day per household

3,379.40229463 liters per day per household x 0.00158089072 $ per liter =
= 5.34246572672 $ of water per day per household.

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