1. Convert each measure. (4 marks) Hint: a. 8 ft 6 in to the nearest centimetre. b. 300 g to the nearest ounce. 1 foot = 12 inches 1 inch = 2.54 cm 1 oz = 28.35 grams 2. Determine the surface area of the figure below. (5 marks) Hint: Find the area of each side (face) and add them together. 2.0 m 1.Am 3.0 m 2.4 m 3. Solve for x, rounded to one decimal place. (2 marks) COS59" = 36 Solve for x, rounded to one decimal place. (2 marks) Hint: The x is on the bottom on this one which makes it a little 34 sin25'= trickier...try multiplying both sides by x, then divide by sine 2515. List THREE possible set of dimensions for a rectangular prism with a volume of 36 m . (3 marks)Hint: You need 3 16. State sinB, cosB and tanB as ratios (fractions) for the following triangle. (3 marks) combinations where the B I X w X h makes 36. 17 8 A C 1518. The first floor of a house is shaped like a rectangular prism and the second floor is shaped like a triangular prism. The dimensions are shown on the following diagram. If a 1000 BTU air conditioner can cool a house with a volume of air up to 1000 m , can this air conditioner cool the house sufficiently? Show your calculations. (5 marks) Am 14 m B m20. Ms.Kuhl is raising Cabbits (part cat, part rabbit). She has 64 ft in total of fencing to make a pen for the little guys. a) What dimensions of pen would you suggest Ms. Kuhl use to maximize the area enclosed? Assume she wants a 4-sided pen. (You may use the short cuts mentioned in the Lesson 3 video) (2 marks) b) Ms. Kuhl decides she can make a bigger pen if she uses the wall of her barn as one side of the pen. What dimensions would you suggest now? By how much has she increased the area? (You may use the short cuts mentioned in the Lesson 3 video) (3 marks) Bonus mark: Draw a cabbit.22. For a ladder to be safe, the angle of elevation of the ladder must be between 70 and 78. An 18 ft extension ladder is leaning against a house. The foot of the ladder is 7 ft from the wall. Is the ladder safe to use in this position? Include a diagram. (5 marks)5. If tan C = -0.6687, find angle C to the nearest degree. Note: Angle C is between 0' and 180 because tanC is negative. Revisit Lesson 4 if needed. (3 marks) 6. Solve for x in each of the following triangles. (7 marks) B X 230 A C 12 ft b) B 26 m 30 75 C\f8. Brent wants to dig a circular pond surrounded by a flower bed as shown. The pond will have a diameter of 10 ft, and the diameter of the pond and flower bed combined will be 14 ft. a) Brent needs to know the area of the pond in order to purchase a cover for the pond. What is the area of the pond to the nearest square Flower Bed foot? (2 marks) Pond b) Brent needs to know the area of the flowerbed so he can plan out the flowers. What is the area of the flower bed to the nearest square foot? (4 marks)9. A car has a fuel consumption rating of 8.3L/100 km. a. Calculate the fuel consumption rating in gallons per mile, to three decimal places. (3 marks). Hint: 1mile = 1.609 km 1gallon = 3.785 L b. How many gallons are used when the car is driven 1 mi? (1 mark)10. Calculate the cost of carpeting a rectangular living room that measures 13 ft by 14 ft, at a cost of $4.95/ft?? (3 marks) 11. A room in the shape of rectangular prism measuring 3.5 m wide by 4.2 m long by 2.4 m high is to be painted. All surfaces except the floor are to be painted. How many square metres of surface area are to be painted, rounded to one decimal place? (4 marks) Hint: Add up the areas of the sides that matter (no floor).12. You have been hired to design a box (rectangular prism) with a volume of 24 m'. The height of the box must be 2m. a) Create a table like the one below and fill in the blanks. Use whole numbers for dimensions. (6 marks) Length (m) Height (m) Width (m) Volume (m3) Surface Area (m?) 1 2 24 2 2 24 3 2 24 4 2 24 6 2 24 12 2 24 b) What dimensions would you use to minimize the cost of making the box? Explain. (2 marks).13. Define the following terms. (5 marks) a) Obtuse Angle b) Oblique Triangle c) Angle of Elevation d) Angle of Depression e) SOH CAH TOA