SOLUTION: A large plywood box has a volume of 180 ft ( square). Its length is 9 ft greater than its height, and its width is 4 ft less than its height. What are the dimensions of the box?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A large plywood box has a volume of 180 ft ( square). Its length is 9 ft greater than its height, and its width is 4 ft less than its height. What are the dimensions of the box?      Log On


   

Question 45434: A large plywood box has a volume of 180 ft ( square). Its length is 9 ft greater than its height, and its width is 4 ft less than its height. What are the dimensions of the box?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
height = h
length = h + 9
width = h - 4
lwh+=+V
h%28h+%2B+9%29%28h+-+4%29+=+180
%28h%5E2+%2B+9h%29%28h+-+4%29+=+180
h%5E3+%2B+5h%5E2+-+36h+-+180+=+0
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3+%2B+5x%5E2+-+36x+-+180+%29+
%28h+%2B+6%29%28h+%2B+5%29%28h+-+6%29+=+0
height = 6
length = h + 9 = 15
width = h - 4 = 2