Question

The traverses are adding a new room to their house. The room will be a cube with a volume of 6,859 cubic feet. They are going to put in hardwood floors which costs $10 per square foot

Answer 1

$3610.

Explanation:

We have been given that the traverses are adding a new room to their house. The room will be a cube with a volume of 6,859 cubic feet. We are supposed to find the hardwood floor's cost.

First of all, we will find side length of cube taking cube root of 6,869.

`\text{Side length of cube}=\sqrt[3]{6,859\text{ ft}^3}`

`\text{Side length of cube}=19\text{ ft}`

Now, we will find area of hardwood floor by taking square of 19 ft.

`\text{Area of hardwood floor}=(19\text{ ft})^2`

`\text{Area of hardwood floor}=361\text{ ft}^2`

Since hardwood floors costs $10 per square foot, so cost of square foot would be 10 times .

`\text{Total cost of hardwood floor}= \frac{\$10}{\text{ft}^2}* 361\text{ ft}^2`

`\text{Total cost of hardwood floor}=\$10*361`

`\text{Total cost of hardwood floor}=\$3610`

Therefore, the cost of hardwood floor would be $3610.