Question

challenge the bells are adding a new room to their house. the room will be a cube with volume 4,913 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 $

Explanation:

Step1: Find the side - length of the cube

The volume formula of a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the side - length. Given $V = 4913$ cubic feet. We solve for $s$: $s=\sqrt[3]{4913}=17$ feet.

Step2: Find the area of the floor

The floor of the cube - shaped room is a square. The area formula of a square is $A=s^{2}$. Since $s = 17$ feet, $A = 17^{2}=289$ square feet.

Step3: Calculate the cost

The contractor charges $15$ per square foot. So the cost $C$ of the hardwood floor is $C=15\times A$. Substituting $A = 289$ square feet, we get $C = 15\times289 = 4335$.

Answer:

$4335$