Mathematics, 22.09.2021 07:20 josephbrowne9p18dit
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure).
(a) Find a function that models the volume V of the box.
V(x) =
(b) Find the values of x for which the volume is greater than 250 in3. (Round your answers to three decimal places. Enter your answer using interval notation.)
(c) Find the largest volume that such a box can have. (Round your answer to three decimal places.)
Answers: 3
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