Question

a fish tank at an aquarium has a volume of 648 cubic feet and a depth of 8 feet. if the base of the tank is square, what is the length of each side of the tank? the length of each side of the tank is

Explanation:

Step1: Find the base - area

The volume formula of a rectangular prism (fish - tank) is $V = Bh$, where $V$ is volume, $B$ is the base - area, and $h$ is the height (depth). Given $V = 648$ cubic feet and $h = 8$ feet. We can find the base - area $B$ by rearranging the formula: $B=\frac{V}{h}$.
$B=\frac{648}{8}=81$ square feet.

Step2: Find the side - length of the square base

Since the base of the tank is square, and the area formula of a square is $B = s^{2}$, where $s$ is the side - length of the square. We know $B = 81$ square feet. Then, to find $s$, we take the square root of $B$.
$s=\sqrt{81}=9$ feet.

Answer:

9