Question

challenge the travers are adding a new room to their house. the room will be a cube with volume 5,832 ft³. they are going to put in hardwood floors, and the contractor charges $? per square foot. how much will the hardwood floors cost? the hardwood floors will cost $□.

Explanation:

Step1: Find the side - length of the cube

Let the side - length of the cube - shaped room be $a$. The volume of a cube $V=a^{3}$. Given $V = 5832$ ft³, then $a=\sqrt[3]{5832}=18$ ft.

Step2: Calculate the area of the floor

The floor of the cube - shaped room is a square. The area of a square $A=a^{2}$. Substituting $a = 18$ ft, we get $A=18^{2}=324$ square feet.

Step3: Calculate the cost

The contractor charges $6$ per square foot. The total cost $C=6\times A$. Substituting $A = 324$ square feet, we get $C=6\times324 = 1944$ dollars.

Answer:

1,944