Sam has sheets of metal which are 36 cm by 36 cm and wishes to use them. He cuts out identical square squares which are x cm by r cm from the corners of each sheet. The remaining shape is then bent along the dashed lines to form an open container. 36 cm a Show that the capacity of the container is given by V(x) = x(36 – 2x)² cm³. 6 What sized squares should be cut out to produce the container of greatest capacity? - 36 cm

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