Question

kevin has a large, cube - shaped tank for his turtle. he wants to cover the opening with a square screen. what are the dimensions for the screen? (v = 729 in³)
27 in x 27 in
12 in x 12 in
9 ft x 9 ft
18 in x 18 in

Explanation:

Step1: Recall volume formula for cube

For a cube, $V = s^3$, where $s$ is the side - length. We know $V = 729$ in³.

Step2: Solve for side - length

We set up the equation $s^3=729$. Taking the cube - root of both sides, $s=\sqrt[3]{729}$. Since $9\times9\times9 = 729$, $s = 9$ inches. The dimensions of the square screen (which is a face of the cube) are $9$ in $\times9$ in.

Answer:

9 in x 9 in