SOLUTION: Find possible dimensions for a closed box with volume 256 cubic inches, surface area 352 square inches, and length that is twice the width. The width of the box in inches can be_

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Question 800671: Find possible dimensions for a closed box with volume 256 cubic inches, surface area 352 square inches, and length that is twice the width.
The width of the box in inches can be___.
I started by using the first equation given to help me solve the problem then got so... S=2LW+2WH+2LH...
Then i got i don't know how to simplify this any more. But, i was told i needed to graph it, then whatever the x-intercepts are becomes the answer.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

given:


so, you have



......height














if => .....one solution
if =>



other solution:
.....we need only positive value since the width cannot be negative value





The width of the box in inches can be: or
if => and =>
if => and =>



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