Answer :
Final answer:
The length of the room that Ms. Lou is adding to her house, which is a cube with a volume of 4,913 cubic feet, is approximately 16.96 feet.
Explanation:
Ms. Lou is planning to add a room to her house that has a volume of 4,913 cubic feet. This is a math problem involving the geometric concept of a cube.
A cube is a symmetrical 3-dimensional shape, where all edges have the same length (they are congruent) and it has six equal sides. The volume of a cube is calculated by raising the edge length to the power of three, expressed in the formula Volume = side^3.
To find the length of the room, or the side length of the cube, we can rearrange the formula to solve for side length: side = cubed root of volume. Thus, to find the length of the side of the cube (the room), we would take the cube root of 4,913, which would be around 16.96 feet.
Therefore, the length of the room that Ms. Lou is adding to her house is approximately 16.96 feet.
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