Answer :
Final answer:
The new cube-shaped room will have each side with a length of 17 feet, determined by taking the cube root of the volume, which is 4,913 cubic feet.
Explanation:
Ms. Lu is adding a new room to her house which will be a cube-shaped room with a volume of 4,913 cubic feet. To determine the length of the room, we need to find the cube root of the volume since the volume of a cube is calculated by raising the length of one of its sides to the third power, as in V = L³.
To find the length of the side of the cube, we take the cube root of the room's volume: ∛₄₉₁₃ cubic feet. After calculating the cube root, we will find that the side length is 17 feet since 17³ equals 4,913.
