Question

will this cube - shaped freezer fit through a door that is 5 feet wide? why or why not? (v = 216 ft³)
no, it will not fit through the door that is 5 ft.
it depends on the height of the door.
only if the freezer is tilted diagonally.
yes, it will fit easily through the door.

Explanation:

Step1: Find the side - length of the cube

The volume formula of a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the side - length. Given $V = 216$ ft³, then $s=\sqrt[3]{216}=6$ ft.

Step2: Compare the side - length with the door width

The door is 5 ft wide. Since $6>5$, the cube - shaped freezer will not fit through the door horizontally. Tilted diagonally, the minimum width required to pass a cube of side - length $s$ through a door is still greater than 5 ft.

Answer:

No, it will not fit through the door that is 5 ft.