Question

HELP PLZ!!!!! he BellsBells are adding a new room to their house. The room will be a cube with volume 6 comma 8596,859 ft cubed3. They are going to put in hardwood​ floors, and the contractor charges ​$1010 per square foot. How much will the hardwood floors​ cost?

Answer 1

To find the cost of the hardwood floors for the Bells' new room, the side length of the cube was calculated using the cube root of the given volume, then squared to get the floor area. Multiplying the floor area by the cost per square foot gave the total cost, which is approximately $3,640.70.

Step-by-step explanation:

The question involves finding the cost of hardwood floors for a new room that the Bells are adding to their house. The room is a cube, and the volume of the cube is given as 6,859 cubic feet. To find the cost, we need to determine the floor area, which is the square of the length of one side of the cube, since the room is a cube shape.

First, we find the length of one side of the cube:
Let the length of one side be x feet.

`x^3` = 6,859
x =
`\sqrt[3]{(6,859)}`
x ≈ 19.08 feet (rounding to two decimal places)

Now we calculate the floor area:
Floor area =
`x^2`
Floor area =
`19.08^2`
Floor area ≈ 364.07 square feet

Finally, we can calculate the cost:
Cost per square foot = $10
Total cost = Floor area × Cost per square foot
Total cost = 364.07 × 10
Total cost ≈ $3,640.70

Therefore, the Bells will have to pay approximately $3,640.70 for their hardwood floors.