High School

Use dimensional analysis to convert the given unit to the unit indicated.

(a) Convert [tex]20000 \, \text{ft}^3[/tex] to gallons.

Answer :

Final answer:

20000 cubic feet is equal to 149,610.4 gallons.

Explanation:

To convert 20000 ft3 to gallons, we can use dimensional analysis. We know that 1 cubic foot is equal to 7.48052 gallons. We can set up a proportion to solve for the number of gallons:

20000 ft3 * (7.48052 gal / 1 ft3) = X gal

By cross-multiplying and solving for X, we find that:

X = 149,610.4 gallons

Therefore, 20000 cubic feet is equal to 149,610.4 gallons.

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