Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated
30,000 ft³ to gal
gal (round to the nearest hundredth as needed )

Explanation:

Step1: Convert cubic feet to gallons

We know that \(1\) cubic yard \( = 200\) gallons and \(1\) cubic yard \(= 27\) cubic feet. So, \(1\) cubic foot \(=\frac{200}{27}\) gallons.

Step2: Convert \(30000\) cubic feet to gallons

If \(1\) cubic foot \(=\frac{200}{27}\) gallons, then for \(V = 30000\) cubic feet, the volume in gallons \(G\) is given by \(G=30000\times\frac{200}{27}\).

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Answer:

\(222222.22\) gal