Question: A rectangular piece of cardboard, 40 in. long by in. wide is used for making a rectangular box (open top) by cutting out squares of

A rectangular piece of cardboard, 40 in. long by in. wide is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides.

(a) Create a polynomial expression for the volume Vin terms of x.
(b) Make a plot of V versus x.
(c) Determine x if the volume of the box is 1,000 in.3.
(d) Determine the value of x that corresponds to the box with the largest possible volume, and determine that volume.

40 in. 22 in.

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The volume is 40 2x 22 2x x 4x 3 124x 2 880x Script File Part a dispPart ... View full answer

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