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help with maths coursework.

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paddycar | 16:53 Fri 12th May 2006 | Quizzes & Puzzles
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this might be in the wrong place but could any one shed a bit of light on the following question...


Maths coursework piece 2

"A shopkeeper asks a company to make some trays.
The shopkeeper says, when the area of the base is the same as the area of the four sides, the volume of the tray will be a maximum"

My task now is to investigate this statement. I will decrease the side of base each time beginning with 16 and increasing the depth of flap each time.


this isnt a method of cheating but merely some insight / help is required. thanks in advance.


Paddy

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I think there is something missing from your problem as stated.

If you make the sides twice as high, it will hold twice the volume - ten times as high, ten times the volume. There is no maximum volume. Make the sides as high as you like and it can have any volume you wish.


Is there a constraint for the size of the net (area of material) you are starting with? If so you can only start with that rectangle and cut a square out of each of the four corners to make the tray.

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help with maths coursework.

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