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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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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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