To find: What are the dimensions of the box with the maximum volume? What is the maximum volume of the box?
The maximum volume is about
Given information:
Jorge is making a box to hold his coin collection from a piece of cardboard that is 30 centimeters by 40 centimeters.
Formula used:
Volume of rectangular box is length times width times the height of the box.
Calculation:
The box will be formed by making the cuts of
The length of the box would be
. The volume of the box would be:
To find the maximum volume, graph the volume function on a graphing calculator. Consider only the interval
It is visible that the maximum volume is about
Length of the box would be:
Width of the box would be:
Therefore, the dimensions of the box will be about
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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