1.5 Optimisation - Cuboid

Applet explorations
[b]1) [/b]The goal here is to find the minimum possible surface area for the given (constant) volume. Why might this be desirable in the real world?[br][br][b]2) [/b]Play around with the applet to get a feel for the problem geometrically. What is the minimum possible surface area for the baking tin? For what approximate values does this occur?[br][br][b]3) [/b]Ensure you are happy with where the volume calculation is coming from. Can you set up a similar formula for the surface area? (Remember, it is an [i]open-topped[/i] cuboid.)[br][br][b]4) [/b]Verify your previous findings using calculus. You will need both of the previous expressions for this.[br][br][b]Summarise any key points at the bottom of the page.[/b]
Applet conclusions
Note any key points from this activity. How can this applet be used to develop our understanding of calculus?
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Information: 1.5 Optimisation - Cuboid