Mathematics, 01.09.2019 16:20, tylerallen0918102
An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box.
(a) express the volume v of the box as a function of x, where x is edge length of the square cut-outs.
(b) what are the dimensions of the box that enclose the largest possible volume? state your answer in the form length by width by height.
(c) what is the maximum volume?
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