Question

It takes a hose 4 minutes to fill a rectangular aquarium 8 incheslong, 9 inches wide, and 13 inches tall. How long will it take thesame hose to fill an aquarium measuring 29 inches by 34 inchesby 35 inches?minutes

Answer 1

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:

`V=9in*13in*8in=936in^3.`

Therefore, the hose is filling the aquarium at a rate of:

`(936in^3)/(4\min)=234(in^3)/(\min ).`

Therefore, if now the hose fills a 29x34x35 aquarium, it takes:

`(29*34*35)/(234)\text{ min.}`

Simplifying the above result, we get:

`147.48\text{ minutes.}`

Answer: (Rounded to 2 decimal places).

`147.48\text{ minutes.}`