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Folded boxes (a). Squares with sides of length x are cut

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 26E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 26E

Folded boxes (a). Squares with sides of ?length x ? are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. (b). Suppose that in part (a) the original piece of cardboard is a square with sides of ? length ??. Find the volume of the largest box that can be formed in this way. (c). Suppose that in part (a) the original piece of cardboard is a rectangle with sides of ? ?length ?? an? d? . Holding ?€ fixed, find the size of the c?orner squares x ? that maximizes the volume ? of the box as L ? ? ?. (?Source: Mathe? matics Teacher, November 2002)

Step-by-Step Solution:

Solution 26E Step 1: (a) onsider abcd is the rectangular sheet of paper such thatab andcd are the lengths and ac andbd are the widths. If a square with sides of length x is cut from each corner, then the new dimensions of the sheet measuring 3ft by 4ft will be in length and in width. Consider the following figure

Step 2 of 4

Chapter 4.4, Problem 26E is Solved
Step 3 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 26E from 4.4 chapter was answered, more than 480 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 26E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Folded boxes (a). Squares with sides of ?length x ? are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. (b). Suppose that in part (a) the original piece of cardboard is a square with sides of ? length ??. Find the volume of the largest box that can be formed in this way. (c). Suppose that in part (a) the original piece of cardboard is a rectangle with sides of ? ?length ?? an? d? . Holding ?€ fixed, find the size of the c?orner squares x ? that maximizes the volume ? of the box as L ? ? ?. (?Source: Mathe? matics Teacher, November 2002)” is broken down into a number of easy to follow steps, and 144 words. This full solution covers the following key subjects: box, piece, Cardboard, length, Volume. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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Folded boxes (a). Squares with sides of length x are cut