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.
