On a rectangular piece of cardboard with perimeter 10 inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded along the creases to make a rectangular box with open ends (see Figure 2). Letting x represent the distance (in inches) between the creases, use the ALEKS graphing calculator to find the value of x that maximizes the volume endosed by this box. Then give the maximum volume. Round your responses to two decimal places. Figure 1 Figure 2 Value of x that maximizes volume : ||
On a rectangular piece of cardboard with perimeter 10 inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded along the creases to make a rectangular box with open ends (see Figure 2). Letting x represent the distance (in inches) between the creases, use the ALEKS graphing calculator to find the value of x that maximizes the volume endosed by this box. Then give the maximum volume. Round your responses to two decimal places. Figure 1 Figure 2 Value of x that maximizes volume : ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:On a rectangular piece of cardboard with perimeter 10 inches, three parallel and equally spaced creases are made (see Figure 1). The cardboard is then folded
along the creases to make a rectangular box with open ends (see Figure 2). Letting x represent the distance (in inches) between the creases, use the ALEKS
graphing calculator to find the value of X that maximizes the volume endosed by this box. Then give the maximum volume. Round your responses to two
decimal places.
Figure 1
Figure 2
in
Value of x that maximizes volume :
Maximum volume :
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