Given:
Volume of a cubed room = 8000 cubic ft
Cost of floor hardwood = $10 per square foot
To find:
The total cost of floor hardwood.
Solution:
Let the each side of cubed room be x ft.
Volume of a cube is cube of its side.
Volume of a cubed room is 8000 cubic ft. So,
![x^3=8000](https://tex.z-dn.net/?f=x%5E3%3D8000)
Taking cube root on both sides.
![x=20](https://tex.z-dn.net/?f=x%3D20)
So, length of each of room is 20 ft.
Area of base = length × breadth
So, area of base of room is
![20\times 20=400\text{ ft}^2](https://tex.z-dn.net/?f=20%5Ctimes%2020%3D400%5Ctext%7B%20ft%7D%5E2)
It means, 400 sq ft hardwood is required for the floor.
Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is
![400\times 10=4000](https://tex.z-dn.net/?f=400%5Ctimes%2010%3D4000)
The hardwood floors will cost $4000.