10 You plan to make a simple, open topped box from a piece of sheet metal by cutting a square - of equal size - from each corner and folding up the sides as shown in the diagram: If l = 200mm and w = 150mm calculate: a) The value of x which will give the maximum volume b) The maximum volume of the box ) Comment of the value obtained in part b.

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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10 You plan to make a simple, open topped box from a
piece of sheet metal by cutting a square - of equal size -
from each corner and folding up the sides as shown in the
diagram:
|
If l = 200mm and w = 150mm calculate:
a) The value of x which will give the maximum volume
b) The maximum volume of the box
c) Comment of the value obtained in part b.
Transcribed Image Text:10 You plan to make a simple, open topped box from a piece of sheet metal by cutting a square - of equal size - from each corner and folding up the sides as shown in the diagram: | If l = 200mm and w = 150mm calculate: a) The value of x which will give the maximum volume b) The maximum volume of the box c) Comment of the value obtained in part b.
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