Question

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 $

Answer 1

$1280

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.