Respuesta :

oh my gosh!

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

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 :-

[tex]\text{Volume}=s^3[/tex]

Then for the given room we have

[tex]s^3=4,913[/tex]

Taking cube root on both sides , we get

[tex]s=\sqrt[3]{4913} =17[/tex]

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