Question

The Travers are adding a new room to their house. The room will be a cube with volume 3,337 ft^3. They are going to put in hardwood​ floors, and the contractor charges ​$5 per square foot. How much will the hardwood floors​ cost?

Answer 1

The cost of the hardwood floors would be approximately $35,961.5.

Step-by-step explanation:

To find the cost of the hardwood floors, we need to first calculate the surface area of the cube. Since the cube has equal sides, we can find the length of one side by taking the cube root of the volume. In this case, the cube root of 3337 is approximately 14.7 feet.

To find the surface area, we multiply the length of one side by itself three times, and then multiply by 6 (since a cube has six faces). So, the surface area of the cube is approximately 14.7 * 14.7 * 14.7 * 6 = 7,192.3 square feet.

Finally, we can calculate the cost of the hardwood floors by multiplying the surface area by the cost per square foot. So, the cost of the hardwood floors would be approximately $5 * 7,192.3 = $35,961.5.