High School

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------------------------------------------------ The Bells are adding a new room to their house. The room will be a cube with a volume of [tex]4,913 \, \text{ft}^3[/tex]. They are going to install hardwood floors, and the contractor charges $55 per square foot. How much will the hardwood floors cost?

Answer :

The cost of the hardwood floors will be approximately $17,133.74.

  • First, let's find the area of the floor. Since the room is a cube, the area of each side of the cube is the same. To find the area of one side, we need to take the square root of the volume of the cube:

Volume = side^3

4,913 = side^3

  • Taking the cube root of both sides:

side ≈ 17.65 feet

  • Now, to find the area of the floor, we multiply the side length by itself:

Area of floor = side * side

Area of floor ≈ 17.65 * 17.65

Area of floor ≈ 311.5225 square feet

  • Now that we have the area of the floor, we can calculate the total cost of the hardwood flooring by multiplying the area of the floor by the cost per square foot:

Total cost = Area of floor * Cost per square foot

Total cost = 311.7225 * $55

Total cost ≈ $17,133.7375

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