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Area & Volume Exploration – Component proportional changes
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- Words:
- 1145
- Submitted:
- Thu Jul 11 2002
... Area & Volume Exploration - Component proportional changes Question 2: Suppose that you are required to design an open steel tray from a sheet of steel that measures 120cm by 80cm by cutting squares from each corner, and folding to form a tray. What size should the squares be cut from each corner of the sheet so that the maximum volume is obtained for the tray. Height = x cm Width = 80cm - 2x cm Length = 120cm - 2 x cm The task is to find the optimal size of the squares that need to be cut out of the corners in order to find the maximum obtainable Volume inside the tray once it has been folded. To work this out there are a number of different methods for doing this. One method is Trial and Improvement. Trial and Improvement Height (Value of x cm) 2 x cm Length (cm) (120cm - 2 x cm) Width (cm) (80cm -
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