SOLUTION: the width of a box is 2 unites less than its length and 5 units more than its height. Write a polynomial function in x, where x equals the width, that represents the volume of the

Algebra ->  Test -> SOLUTION: the width of a box is 2 unites less than its length and 5 units more than its height. Write a polynomial function in x, where x equals the width, that represents the volume of the       Log On


   

Question 169283: the width of a box is 2 unites less than its length and 5 units more than its height. Write a polynomial function in x, where x equals the width, that represents the volume of the box. (note: x may need to be defined in the problem.)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The width of the box is x

The length of the box is (x + 2)

The height of the box is (x - 5)

The volume of a rectangular solid is given by length X width X height, so for this box:

V=%28x%2B2%29%28x%29%28x-5%29

Multiplying:

V=%28x%5E2%2B2x%29%28x-5%29=red%28x%5E3%2B2x%5E2-5x%5E2-10x%29=green%28x%5E3-3x%5E2-10x%29