Answer:
The answer is [tex]1,434 [/tex] inches
Step-by-step explanation:
For simplicity, let's consider a square shaped area which sides are 4.0 Km long. Now, a prism of water with that base has a volume of [tex]1,54 \times 10^8[/tex] gal after 18 minutes of rain. I assume you're asking for the altitude of the prism in inches, since the time and the area remain constant. Now
1 gal = 231 cubic inches, so
[tex]1,54 \times 10^8[/tex] gal = 35574000000 cubic inches.
Knowing that the volume of a prism is V = a * b * h, and in this case
a = b = 4.0 km = 157480 inches, then
[tex]h = \frac{V}{ab} = \frac{35574000000}{157480^2} = 1,434[/tex]
