A box with an open top is to be constructed from a 9 ft by 8 ft rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the longer sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume (in ft) that such a box can have. (Round your answer to two decimal places.) 2x ft3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A box with an open top is to be constructed from a 9 ft by 8 ft rectangular piece of cardboard by cutting out squares or rectangles from
each of the four corners, as shown in the figure, and bending up the sides. One of the longer sides of the box is to have a double layer of
cardboard, which is obtained by folding the side twice. Find the largest volume (in ft) that such a box can have. (Round your answer to
two decimal places.)
2x
ft3
Transcribed Image Text:A box with an open top is to be constructed from a 9 ft by 8 ft rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the longer sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume (in ft) that such a box can have. (Round your answer to two decimal places.) 2x ft3
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