Question

The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood​ floors, and the contractor charges10 ​$ per square foot. How much will the hardwood floors​ cost? The hardwood floors will cost ​$

Answer 1

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,

$x^3=8000$

Taking cube root on both sides.

$x=20$

So, length of each of room is 20 ft.

Area of base = length × breadth

So, area of base of room is

$20\times 20=400\text{ ft}^2$

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

$400\times 10=4000$

The hardwood floors will cost ​$4000.