Question

How high must a 800-gallon rectangular tank be if the base is a square 4ft 6in. on a side? (1 cu ft ≈7.48 gallons)(Type an integer or decimal rounded to the nearest tenth as needed.)

Answer 1

Given:

Volume of the rectangular tank is 800 gallon.

Side of the square is 4 ft 6 in.

$\begin{gathered} 12\text{ foo}t=1\text{ inch} \\ 6\text{ inch=}\frac{6}{12}\text{ feet} \\ =\frac{1}{2}\text{feet} \\ =0.5\text{feet} \end{gathered}$

So, 4 ft 6 inch is 4.5 feet.

Let h be the height of the rectangular tank.

The volume is given as,

$\begin{gathered} V=l\times b\times h \\ 800\times\frac{1ft^3}{7.48\text{ gallons}}=4.5\times4.5\times h \\ h=\frac{800}{7.48\times20.25} \\ h=5.28 \end{gathered}$

So, the height of tank is 5.3 ft