Question

1. higher order thinking a fish tank at an aquarium has a volume of 1,568 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?

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - prism (fish - tank in this case) is $V = Bh$, where $V$ is volume, $B$ is the area of the base, and $h$ is the height (or depth). We know $V = 1568$ cubic feet and $h = 8$ feet.

Step2: Calculate the area of the base

We can find the area of the base $B$ by rearranging the formula $B=\frac{V}{h}$. Substituting the given values, we have $B=\frac{1568}{8}=196$ square feet.

Step3: Find the side - length of the square base

Since the base is square, and the area of a square is $A = s^{2}$, where $s$ is the side - length of the square. If $A = B = 196$ square feet, then $s=\sqrt{196}$. So, $s = 14$ feet.

Answer:

14 feet