Question

emily got a new fish tank for her pet betta fish. the tank is shaped like a rectangular prism that is 48 centimeters long, 30 centimeters wide, and 30 centimeters high. she is filling the tank with water from a faucet flowing at a rate of 7.2 liters, or 7,200 cubic centimeters, per minute. how many minutes will it take emily to fill the tank? minutes

Explanation:

Step1: Calculate tank volume

The volume $V$ of a rectangular prism is $V = l\times w\times h$. Here, $l = 48$ cm, $w = 30$ cm, $h = 30$ cm. So $V=48\times30\times30=43200$ $cm^{3}$.

Step2: Calculate filling - time

The rate of water - flow is $r = 7200$ $cm^{3}$ per minute. The time $t$ to fill the tank is $t=\frac{V}{r}$. Substitute $V = 43200$ $cm^{3}$ and $r = 7200$ $cm^{3}$ into the formula, we get $t=\frac{43200}{7200}=6$ minutes.

Answer:

6