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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.
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Maths Coursework Algebra-Investigating Trays Statement: 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." Aim: To prove the shopkeeper's statement true. Task: To investigate this claim and investigate further. 18 x 18 I firstly started my trays investigation by drawing a net for a square measured 18cm by 18cm. I then cut out this net square, after it had been cut out I cut off 1cm off each of the four corners. This was so the tray would join together. I then calculated the area of the base. The formula I used to calculate the area of the base was: lxb For example: Area of Base, tray 1 16x16=256cm After this I then went on further to find the area of the four sides, as I had used this square before. I then used...
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