A box with a hinged lid is to be made our of a rectangular piece of cardboard that measures 3 in by 5 in.  Six squares will be cut from the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A box with a hinged lid is to be made our of a rectangular piece of cardboard that measures 3 in by 5 in.  Six squares will be cut from the cardboard:  one square will be cut from each of the corners, and one square will be cut from the middle of each of the 5 in sides (Fig 1).  The remaining cardboard will be folded to form the box and it's lid (Fig 2).  Letting x represent the side lengths in inches of the squaresn find the value of x that maximizes the volume enclosed by this box.  Then give the maximum volume.

Value of x that maximizes volume: ___in.

Maximum volume: ___in.^3

K
C
3
Figure 1
X
X
N
LO
5
X
X
X
N
N
k
X
N
Figure 2
N
Transcribed Image Text:K C 3 Figure 1 X X N LO 5 X X X N N k X N Figure 2 N
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