SOLUTION: The volume of a box is 405 in . The length is x inches, the width is (x+4) inches, and the height is 9. In inches, what are the dimensions of the box?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The volume of a box is 405 in . The length is x inches, the width is (x+4) inches, and the height is 9. In inches, what are the dimensions of the box?      Log On


   



Question 1073053: The volume of a box is 405 in . The length is x inches, the width is (x+4) inches, and the height is 9. In inches, what are the dimensions of the box?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
The height of the box is 9", so the length x width of the box is 405/9, or 45. So:
x(x+4)=45
x²+4x-45=0
(x+9)(x-5)=0
x=5 or -9
The length is 5", and the width is 9". So the dimensions of the box are 5"x9"x9". ☺☺☺☺