High School

Ms. Lu is adding a new room to her house. The room will be a cube with a volume of 4,913 cubic feet. What is the length of one side of the new room? Explain briefly.

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.