Question

a certain species of fish require 1.5 cubic feet of water per fish to maintain a healthy environment. find the maximum number of fish you could put in a tank measuring 9 feet by 2 feet by 5 feet.

Explanation:

Step1: Calculate tank volume

The volume $V$ of a rectangular - prism tank with length $l = 9$ feet, width $w = 2$ feet, and height $h = 5$ feet is given by the formula $V=l\times w\times h$. So, $V = 9\times2\times5=90$ cubic feet.

Step2: Determine number of fish

If each fish requires 1.5 cubic feet of water, then the number of fish $n$ is found by dividing the total volume of the tank by the volume per fish. So, $n=\frac{V}{1.5}=\frac{90}{1.5}=60$.

Answer:

60