Answered

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Challenge The Bells are adding a new room to their house. The room will be a cube with volume 4,096
ft³. They are going to put in hardwood floors, and the contractor charges $5 per square foot. How much
will the hardwood floors cost?
The hardwood floors will cost $

Sagot :

sqdancefan

Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Dimensions

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

Area

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

Cost

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

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