Answer: 17 feet
Explanation:
Given : Ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet.
Let s be the side of the square-room.
We know that the volume of a square is given by :-

Then for the given room we have

Taking cube root on both sides , we get
![s=\sqrt[3]{4913} =17](https://img.qammunity.org/2017/formulas/mathematics/middle-school/s8pu4v0vcoz6en2k9xcduqhnq177sbkzes.png)
Hence, the length of the new room = 17 feet.