Answer:
$1445
Step-by-step explanation:
The side length of the room is the cube root of the volume of the cube:
s = ∛4913 = 17 . . . . feet
The area of the floor is the square of this side length:
A = (17 ft)² = 289 ft²
The cost of the floor is $5 for each square foot:
cost = ($5/ft²)(289 ft²) = $1445
The hardwood floor will cost $1445.