A rectangular box which is open at the top can be made from an 6-by-30-inch piece of metal by cutting a square from each corner and bending up the sides. Find the dimensions of the box with greatest volume, where h height, /= length, and w = width. (Note: let the width be determined by the 6-inch side and the length by the 30-inch side.) in in

Calculus: Early Transcendentals
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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 rectangular box which is open at the top can be made from an 6-by-30-inch piece of metal by cutting a square from each corner and bending up the sides. Find the dimensions of the box with
height, / = length, and w = width. (Note: let the width be determined by the 6-inch side and the length by the 30-inch side.)
greatest volume, where h =
h =
in
in
W =
in
Additional Materials
Tutorial
II
Transcribed Image Text:A rectangular box which is open at the top can be made from an 6-by-30-inch piece of metal by cutting a square from each corner and bending up the sides. Find the dimensions of the box with height, / = length, and w = width. (Note: let the width be determined by the 6-inch side and the length by the 30-inch side.) greatest volume, where h = h = in in W = in Additional Materials Tutorial II
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