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Open box Problem.
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- Words:
- 2711
- Submitted:
- Tue Aug 12 2003
... Open box Problem Introduction Now I am going to investigate the size of the cut out square which makes an open box of the largest volume. Let the length of the square be 24cm, the card is shown as below: Method Now, I am going to set the length of the square to be 24cm and the other one will be 12cm. Then I will find out the relation between the two experiment and find out a formula to calculate the max. volume for any size of square. Then I will explain why the formula works for all squares. I have to find out the value of X to give the maximum of volume. First, I have to find out the formula to calculate the volume of the open box. Base on the formula, the volume= height x length x width. Let the height be X. Then the length is 24cm - X- X . Therefore we get
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