To answer this question, we have to determine the rate at which the hose fills the aquarium.
From the given data, we know that the hose takes four minutes to fill a rectangular aquarium. Using the formula for the volume of a rectangular prism, we get that the volume of the aquarium is:
[tex]V=9in\times13in\times8in=936in^3.[/tex]Therefore, the hose is filling the aquarium at a rate of:
[tex]\frac{936in^3}{4\min}=234\frac{in^3}{\min }.[/tex]Therefore, if now the hose fills a 29x34x35 aquarium, it takes:
[tex]\frac{29\times34\times35}{234}\text{ min.}[/tex]Simplifying the above result, we get:
[tex]147.48\text{ minutes.}[/tex]Answer: (Rounded to 2 decimal places).
[tex]147.48\text{ minutes.}[/tex]