SOLUTION: A box contains 216 bottles it has a width that is three times the height of the box and a lenght that is twice the width of the box. The Volume of each bottle is 1in 3. Find the he

Algebra ->  Volume -> SOLUTION: A box contains 216 bottles it has a width that is three times the height of the box and a lenght that is twice the width of the box. The Volume of each bottle is 1in 3. Find the he      Log On


   



Question 1037686: A box contains 216 bottles it has a width that is three times the height of the box and a lenght that is twice the width of the box. The Volume of each bottle is 1in 3. Find the height of the box.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let l=length,w=width,h=height:
h=w/3
l=2w
So:
w(w/3)(2w)=216
2w^3/3=216
2w^3=648
w^3=324
w=6.87 in.
l=13.74 in.
h=2.29 in.!!!!!!!!!!!!