Unit 1 Assignment: Sequences and Series
Assignment #2 – MeasurementK/U 21APP 13Comm 10TIPS 10TOTAL: 54CommunicationShow your work to receive full marks on the questions.Knowledge/21Convert each measure to the metric measure indicated. a) 35 yards into metresb) 24 square inches in square centimetersc) 2.4 pint into cm3[3]Convert each measure to the imperial measure indicated. a) 23.5 centimeters into inchesb) 0.7 square meters into square feet c) 50L into cubic feet[3]3. Convert each of the following. a) 10 000 cm to kilometers.b) 6 miles to feet.c) 1 200 miles to kilometersd) 120 pounds to kg.e) 150 fluid ounces to quarts.f) 50 L to gallons.[6]4. The area of the base of a pentagonal prism is 40cm2. If the volume is 37L what is the height of the prism? [2]36473853595. Find the surface area of the object to the right. [5]6. What are the dimensions of a rectangle with an area of 65 m2 that gives a minimum perimeter? What is the perimeter?[2]Application/13A home water heater is a cylinder having a base radius of 56 cm and a height of 1.7 m. The tank is filled to capacity. A tap is run for 12 minutes, releasing water at the rate of 15.3 L/min. How much water remains in the tank after 12 minutes? [4]31343603923665002. The front of the tent is an isosceles triangle. The tent has a floor. How much material is needed to make this tent? Express the answer in square feet.[4]Paper wrapping costs $0.50 per square foot. How much will it cost to wrap 15 Toblerone Bars with the dimensions below? 516255116490014478016023900[5]Thinking, Inquiry and Problem SolvingA lifeguard is roping off a rectangular swimming area using the beach as one side. She has 200 m of rope. Determine the greatest area she can rope off and its dimensions.Is the area in part a) greater or less than 50 000 square feet? Justify your answer using math. [4]2. Ross constructs a rectangular prism with a volume of exactly 2197 m3. It has the least surface area possible. What are the dimensions of the prism? What is its surface area? [2]3. Consider the half pipe to the right. It takes 3 bags of salt to cover the surface area of the 100m long half pipe. Each bag of salt covers 400m2 of snow. Assume that the half pipe has been salted only ONCE.339725060325Determine the surface area of the half pipe. Determine the depth of the half pipe. [4] ................
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