Lesson 7 - Unit Task This lesson will be devoted to a summative unit task. You must complete the unit task and upload it to the Dropbox for your instructor to grade. El Assignment 1. An open box with a rectangular base is to be constructed from a rectangular pice of cardboard '16 cm wide and 21 cm long by cutting out a square from each corner and then bending up the sides. Find the size of the corner squares which will produce a box having the largest possible volume. Hint: Draw a diagram! (3 marks Application, 3 marks Thinking) 2. A roll of wire 50 metres long is used to fence a rectangular plot of ground and to divide it into two plots by a fence joining the midpoints of the two opposite sides. What dimensions will maximize the total area enclosed? Hint: Draw a diagram! (3 marks Application, 3 marks Thinking) 3. A cylindrical can is to be made to hold 'lOODcm3 {one litre} of oil. Find the dimensions (radius and height) of the can that will minimize the cost of the metal to make the can. Hint: Look up the formuias for voiume and surface are of a cyiinden (3 marks Application, 3 marks Thinking)