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oh my gosh!

i have this exact question on my homework and i am so confusedĀ 

Answer: 17 feet

Step-by-step 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 :-

\(\text{Volume}=s^3\)

Then for the given room we have

\(s^3=4,913\)

Taking cube root on both sides , we get

\(s=\sqrt[3]{4913} =17\)

Hence, the length of the new room = 17 feet.