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You may use your notes and a cal 1. Convert the following measurements. Round answers to 1 decimal place. (a maria) a) 7 feet to
You may use your notes and a cal 1. Convert the following measurements. Round answers to 1 decimal place. (a maria) a) 7 feet to inches b) 190cm to m c) 3.85 metric tonnes to kg d) 2 000 cm to m e) 5 miles to kilometers f) 25 kg to lbs g) 4 square inches to square mm h) 21 cm to mm 2. Calculate the PERIMETER of each shape. Round to 1 decimal place. (5 marks) 6 cm 9 CEA 2 cm 12 m 10 cm7. Mr. Faus is starting his own milk company called Moo-Moo Milk Co. In order to transport the milk, he purchases a milk truck with a cylindrical tank. To advertise the company, Mr. Faus wants to paint the cylindrical tank of the truck, he will paint ALL sides of the tank. a) Calculate the total SURFACE AREA of the tank. Round to 1 decimal place. (3 marks) _ _9am - 3.6 m b) Mr. Faus has several cans of American paint. The instructions state that each can of paint will cover an area of 50 yards. How many cans of paint will Mr. Faus need to paint the milk tank? (2 marks) Bonus (Optional) You are designing a swimming area at a beach. To keep the swimming area safe you will need to place a rope of buoys in the water. The swimming area will have a rectangular shape and will be enclosed by three sides of rope (see picture). If you have a total of 100 meters of rope, what are the optimal dimensions that will maximize the total swimming area? (2 marks)5 . Mr. Faus is building a patio with interlocking stone in the shape shown in the picture. a) What is the total AREA of the patio? (2 marks) 20 m 5m 15 m 8 m b) Mr. Faus must install a levelling bed of screenings 50cm deep, then lay stones on the bed. Screenings cost $10 per cubic meter, tax included. The stones come on skids, each skid having enough stones to cover 50 square meters. The cost of a skid is $205, tax and delivery included. Calculate the total cost of the patio. (3 marks) 6. a) Mr. Faus is building a four sided fence in his yard. What shape should the fence have in order to minimize the total amount of materials he uses and maximize the total area inside the fence? (1 mark) b) Mr. Faus has enough materials to build 80 meters of fence. What dimensions will maximize the area inside the fence? (1 mark) c) Mr. Faus is also building a shed in his yard that will have a volume of 216 m . He wants to minimize the total materials he uses. What are the optimal dimensions for the shed? (1 mark)3. Calculate the AREA of each sh each shape. Round to 1 decimal place. (5 marks) 6 cm 5 cm 16 cm 14 cm 11 cm ons 4. a) Calculate the VOLUME of the tent. Round to 1 decimal place. (4 marks) 2 ft 5.5 ft 8 ft 6 ft b) A space heater can be purchased to heat the tent during cold nights. The heater can heat each cubic foot of space at a cost of $0.02 per hour. How much will it cost to heat the tent for an 8 hour night? (1 mark)
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