To find: The dimension of the rectangular box with maximum volume and the find the maximum volume.
Answer to Problem 7E
The dimension the box will be
The maximum volume is,
Explanation of Solution
Given information: The dimension the cardboard is given by 8-by 15-in.
Formula used: Volume of the rectangular box,
Calculation:
The figure will be like this,
Volume of the rectangular box,
From the above figure,
Thus, the volume of the box will be,
Taking the first derivative we get,
To get the value of x, assume
That is,
Solving we get,
Thus,
Thus, the dimension the box will be
The maximum volume is,
Chapter 4 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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