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 $15 per square foot. how much will the hardwood floors cost? the hardwood floors will cost $4335.

Explanation:

Step1: Find side - length of cube

The volume formula for a cube is $V = s^{3}$, where $V$ is volume and $s$ is side - length. Given $V = 4913$ ft³, then $s=\sqrt[3]{4913}=17$ ft.

Step2: Calculate floor area

The floor of the cube - shaped room is a square. The area formula for a square is $A=s^{2}$. Since $s = 17$ ft, $A = 17^{2}=289$ ft².

Step3: Calculate cost

The contractor charges $15$ per square foot. So the cost $C=15\times A$. Substituting $A = 289$ ft², we get $C = 15\times289 = 4335$ dollars.

Answer:

$4335$