SOLUTION: The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is 106ft^3. Find the height of the box.

Algebra ->  Volume -> SOLUTION: The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is 106ft^3. Find the height of the box.      Log On


   

Question 242910: The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is 106ft^3. Find the height of the box.
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
w=4h
L=7+h
(h*w*L=106)
h*4h*(7+h)=106
4h^2(7+h) = 106
28h^2+4h^3 -106=0

+graph%28+300%2C+200%2C+-10%2C+5%2C+-100%2C+100%2C+4x%5E3%2B28x%5E2-106%29+
We can see from the graph that the height is approximately 1.75 feet.