SOLUTION: 2. A crate has a width of 8 feet. The areas of all 6 sides of the crate total 42 ft2 feet. Express the height h of the crate in terms of the length x (i.e. write h as a function

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Question 1127062: 2. A crate has a width of 8 feet. The areas of all 6 sides of the crate total 42 ft2
feet. Express
the height h of the crate in terms of the length x (i.e. write h as a function of x ). Simplify
your answer.
a) Express the volume V of the box as a function of the length “l”.
b) Find the maximum volume that such a box could have.

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
8, width
h, height
x, length
42, surface area all six sides



-
Height as Function of Length




Volume Formula



-

skipping all the steps,
finding extreme value of v








If no mistakes made, this is the length, x, for maximum volume v.

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