SOLUTION: On a rectangular piece of cardboard with perimeter 14 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangul
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Question 1141797: On a rectangular piece of cardboard with perimeter 14 inches, three parallel and equally spaced creases are made. The cardboard is then folded along the creases to make a rectangular box with open ends. Letting x represent the distance (in inches) between the creases, use a graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The length of the sides perpendicular to the 3 creases
is
Let then perimeter =
Now I can say what volume is
when folded along the creases
Here's the plot:
It looks like might be close to max volume
That looks pretty close to the graph
You can get closer with calculator
Get a 2nd opinion if needed
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