Answer :
The length of the new room is 17 feet.
To find the length of the new room, which is a cube, we need to determine the cube root of the volume. The volume of a cube is given by [tex]\( V = s^3 \)[/tex], where[tex]\( s \)[/tex] is the length of one side of the cube. We are given that the volume [tex]\( V \)[/tex] is 4,913 cubic feet.
To find the side length [tex]\( s \)[/tex] , we take the cube root of the volume:
[tex]\[ s = \sqrt[3]{V} \][/tex]
[tex]\[ s = \sqrt[3]{4913} \][/tex]
[tex]\[ s = 17 \][/tex]
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.
