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 5 feet by 2 feet by 3 feet.

Explanation:

Step1: Calculate tank volume

The volume $V$ of a rectangular - shaped tank with length $l = 5$ feet, width $w = 2$ feet and height $h = 3$ feet is given by the formula $V=l\times w\times h$. So, $V = 5\times2\times3=30$ 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 of water per fish. So, $n=\frac{V}{1.5}=\frac{30}{1.5}=20$.

Answer:

20