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MATHEMATICS - CASE STUDY

    Introduction


Rectangular Box

 

In his arts and crafts class, Tony is given a piece of paper and asked to make a rectangular box. The length of the box he created is 3 times of its width. His friends made boxes with various lengths, widths and heights. He wonders how the height changes affects the width.

What is known:

  • The surface area of the box is constant at 100 in2.
  • The length is 3 times of its width.
     
    Questions

 

 

What is the rate of change of the width with respect to the enlarge of height?

     
    Approach


 
  • Find the relationship between the width and the height.
  • Apply implicit differentiation method