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TRAYS Firstly I am going to investigate the shopkeeper's statement. If the width of the side of the tray is represented by the letter w then we have: So The volume of the tray = w (18cm - 2w)(18cm -2w) Results Table Width of Side (cm) Length of base (cm) Volume (cm3) Area of Side (cm2) Area of all sides(cm2) Area of base (cm2) 1 16 256 16 64 256 2 14 392 28 112 196 3 12 432 36 144 144 4 10 400 40 160 100 5 8 320 40 160 64 6 6 216 36 144 36 7 4 112 28 112 16 8 2 32 16 64 4 Conclusion The results table and the diagrams above prove that the shopkeeper's statement is true as you can see by the blue highlighted part of the results table above. Now I have discovered that the shopkeeper's statement is true I will investigate this further by finding out if the statement is true for other sized squares. 24cm x 24cm square The first square I will investigate is a 24cm x 24cm square. My prediction is that the shopkeeper's statement will also be true for a square of this size. If the width of the sides is represented by W...

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