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). Given $V = 1568$ 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 $B=\frac{V}{h}$. Substitute $V = 1568$ and $h = 8$ into the formula: $B=\frac{1568}{8}=196$ square feet.

Step3: Find the side - length of the square base

Since the base is a square, and the area of a square is $A = s^{2}$, where $s$ is the side - length. We know $A = B=196$ square feet. Then, to find $s$, we take the square root of the area: $s=\sqrt{196}=14$ feet.

Answer:

14 feet