SOLUTION: A rectangular box has a volume of 384 cubic units. If the length is 4 units more than twice the width, height is twice of the width. Find the dimension of the box.

Algebra ->  Rational-functions -> SOLUTION: A rectangular box has a volume of 384 cubic units. If the length is 4 units more than twice the width, height is twice of the width. Find the dimension of the box.       Log On


   

Question 1121422: A rectangular box has a volume of 384 cubic units. If the length is 4 units more than twice the width, height is twice of the width. Find the dimension of the box.


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
width is x
lengths is 2x+4
height is 2x
their product is the volume, so x(2x+4)(2x)=384
4x^3+8x^2-384=0
divide by 4
x^3+2x^2-96=0; graph
x=4 units
dimensions 4 U width x 12 U length x 8 U height
graph%28300%2C300%2C-10%2C10%2C-20%2C20%2Cx%5E3%2B2x%5E2-96%29