Answer :
Sure, let's solve the problem step by step.
Ms. Jacobs is adding a new room to her house, and the room will be a cube with a volume of 4,913 cubic feet. To find the length of one side of this cube, we need to determine the cube root of the volume since the volume of a cube is given by the formula:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
Given:
[tex]\[ \text{Volume} = 4,913 \text{ cubic feet} \][/tex]
We can find the side length by taking the cube root of the volume.
[tex]\[
\text{Side length} = \sqrt[3]{4913}
\][/tex]
The cube root of 4,913 is approximately:
[tex]\[
\sqrt[3]{4913} \approx 17
\][/tex]
So, the length of each side of the new room is approximately:
[tex]\[ \boxed{17 \text{ feet}} \][/tex]
This means the new room will have each side measuring roughly 17 feet.
Ms. Jacobs is adding a new room to her house, and the room will be a cube with a volume of 4,913 cubic feet. To find the length of one side of this cube, we need to determine the cube root of the volume since the volume of a cube is given by the formula:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
Given:
[tex]\[ \text{Volume} = 4,913 \text{ cubic feet} \][/tex]
We can find the side length by taking the cube root of the volume.
[tex]\[
\text{Side length} = \sqrt[3]{4913}
\][/tex]
The cube root of 4,913 is approximately:
[tex]\[
\sqrt[3]{4913} \approx 17
\][/tex]
So, the length of each side of the new room is approximately:
[tex]\[ \boxed{17 \text{ feet}} \][/tex]
This means the new room will have each side measuring roughly 17 feet.
