6. A farmer wants to build a rectangular fenced in area. He would like the area of the rectangle to be 670 ft, but he would like to by the least amount of fencing possible. Determine the dimensions (length and width) of the rectangle that would create minimum perimeter. Show your work. 7. Lauren is designing a cylindrical can for a new vegetable product. The can should hold a volume of 410 cm'. What should its dimensions be (radius, diameter, and height), to minimize the amount of material used to make it? Show your work. 8. Victor is constructing a box that will be a rectangular prism. He has a surface area of 339 cm" of cardboard to use to make this box. What dimensions (length, width, height) should the box be, in order to maximize volume? Show your work.4. The mailbox below is a composite object. Calculate the volume of the mailbox. Show your work. 21.3 cm 47.0 cm 18.6 cm 5a. A decorator is painting this wall of an attic room. The window measures 0.9m by 0.4 m What is the total area that will be painted, keeping in mind that no paint will be applied to the window. Show your work. 4.2 m 3.7 m 6.9 m b. One can of paint covers an area of 285 ft. Will one can of paint be enough to paint the wall? Show your work.*Diagrams are NOT drawn to scale. *Show all your work! 1. Convert each measure. a) 17.1 gallons to Litres b) 195 mL to fluid ounces fluid ounces c) 408 miles to km km d) 629 inches to metres m 2. Calculate the surface area of the object below. Show your work. 12 fty 32 ft 10 ft 10 ft 3. Calculate the area of the composite figure below. Show your work. 36 cm 43 cm 17 cm