Respuesta :

The volume of a tank is given by the following formula:

[tex]V=l\times w\times h[/tex]

Where l is the length, w is the width and h is the height.

From this formula, we can solve for l to get:

[tex]l=\frac{V}{w\times h}[/tex]

First, we need to rewrite the given mixed fractions for the width and height, like this:

w = 16 + 2/3 = 50/3

h = 2 + 4/5 = 14/5

By replacing these values and 525 for V into the above expression, we get:

[tex]l=\frac{525}{\frac{50}{3}\times\frac{14}{5}}=\frac{45}{4}[/tex]

Then, the length of the tank equals 11.25 feet