A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting out a square from each of the four corners and bending up the sides. Find the dimensions of a square corner that must be cut out in order for the open box to attain maximum volume. A. B. C. 7-√13 6 7+√13 6 ·m x -m X 7-√13 6 ·m x 7-√13 6 7+√/13 6 D. 7+√13 m ·m X 6 E. NO correct choices m 2+√13m x 5+√1³ m 3 2-√13 3 m ·m x m 5-√13 3 m

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting
out a square from each of the four corners and bending up the sides. Find the dimensions of a
square corner that must be cut out in order for the open box to attain maximum volume.
A.
B.
C.
7-√13
6
7+√13
6
·m x
·m X
7-√13
6
·m X
D. 7+√13
6
7-√13
6
·m x
7+√13
6
2+√/13
3
2-√13
3
E. NO correct choices
m
m
·m x
·m x
5+√/13
3
·m
5-√13
3
- m
Transcribed Image Text:A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting out a square from each of the four corners and bending up the sides. Find the dimensions of a square corner that must be cut out in order for the open box to attain maximum volume. A. B. C. 7-√13 6 7+√13 6 ·m x ·m X 7-√13 6 ·m X D. 7+√13 6 7-√13 6 ·m x 7+√13 6 2+√/13 3 2-√13 3 E. NO correct choices m m ·m x ·m x 5+√/13 3 ·m 5-√13 3 - m
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