Question

youve rented a cube - shaped storage locker for a school fundraiser. the locker has a volume of 216 cubic feet. you plan to store cube - shaped boxes inside it. one option is a box with a volume of 27 cubic feet, and another option is a box with a volume of 90 cubic feet. your job is to figure out how many boxes can fit, whether they fit through the door, and which size makes the most sense. short response questions (5 questions) answer the questions below using the provided textboxes. question 1 what is the side length of your locker? how do you know?

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length and $V$ is the volume.

Step2: Solve for side - length

Given $V = 216$ cubic feet, we solve the equation $s^3=216$ for $s$. Taking the cube - root of both sides, $s=\sqrt[3]{216}$. Since $6\times6\times6 = 216$, $\sqrt[3]{216}=6$ feet.

Answer:

The side - length of the locker is 6 feet. We know this because the volume of a cube is given by $V = s^3$, and when $V = 216$, solving $s^3=216$ gives $s = 6$ (since $6^3=216$).