Unit 15: Measurement Length, Area and Volume
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1 Unit 15: Measurement Length, Area and Volume Section A: Circumference measuring the circumference of a round object. You will to show all of your working out. C 5 d where: C 5 circumference d 5 diameter EXAMPLE Find the circumference of a wheel with a diameter of 30 cm. C 5 3 d Therefore, C cm Find the circumference of a wheel with a diameter of 200 cm. 628 cm Calculate the circumference of a pulley with a diameter of 15 cm cm Find the circumference of a headlight with a diameter of 32 cm cm QUESTION 4 Determine the circumference of the head of an inlet valve with a diameter of 5 cm cm Calculate the circumference of a distributor cap with a diameter of 30 cm cm Find the circumference of a front brake disc with a diameter of 28.8 cm cm Unit 15: Measurement Length, Area and Volume 43
2 QUESTION 7 Determine the circumference of a speaker with a diameter of 45.6 cm cm Find the circumference of a 1200 watt (W) sander with a diameter of 14.3 cm cm Calculate the circumference of a brake drum with a diameter of 42.9 cm cm Find the circumference of a 500 W sub woofer with a diameter of 18.8 cm cm Section B: Diameter measuring the diameter of a round object. Diameter (d) of a circle 5 circumference (3.14) EXAMPLE Find the diameter of a brake disc with a circumference of 110 cm. d cm Find the diameter of a steering wheel with a circumference of 120 cm cm Calculate the diameter of an exhaust silencer with a circumference of 16 cm cm Find the diameter of a lamp unit with a circumference of 20 cm cm QUESTION 4 Determine the diameter of a 600 W sub woofer with a circumference of 130 cm cm Calculate the diameter of a tyre with a circumference of 210 cm cm Find the diameter of an alloy wheel lock nut with a circumference of 11.8 cm cm 44 Maths & English for Automotive
3 QUESTION 7 Calculate the diameter of a radiator hose with a circumference of 12.4 cm cm Find the diameter of an oil filter with a circumference of 32.8 cm cm Find the diameter of a brake disc with a circumference of 90.8 cm cm Determine the diameter of an air filter with a circumference of 100 cm cm Section C: Area measuring surface area. Area 5 length width and is given in square units. 5 l 3 w The length of the inside of a box trailer is 30 m by 2.8 m wide, what is the total area? 84 m 2 If a workshop measures 60 m by 13 m, what is the total area? 780 m 2 A sheet of fibreglass is 2.85 m by 1.65 m. What is the total area? 4.7 m 2 Unit 15: Measurement Length, Area and Volume 45
4 QUESTION 4 If a battery has plates inside of it that measure 15.5 cm by 12.8 cm, what is the total area of one plate? cm 2 QUESTION 7 The boot of a sports tourer is 1.06 m by 1.07 m. What is the total boot floor area? 1.13 m 2 If a car hoist is 4.5 m by 1.8 m, what is the total area? 8.1 m 2 Gasket material can be purchased by the square metre. What is the total area of a 30 m roll that is 1.50 m wide? 45 m 2 A vehicle sales area is 65.3 m by 32.7 m. How much floor area is there? m 2 If a carport is 3.2 m wide by 8.6 m long, what is its floor area? m 2 A removal van is 8.9 m long and 2.6 m wide. How much floor area is there? m 2 Section D: Volume of a cube calculating volumes of rectangular or square objects. Volume 5 length width height and is given in cubic units. 5 l 3 w 3 h How many cubic metres are there in a storage area 13 m by 5 m by 4 m? If a recovery truck has the dimensions of 8 m by 3 m by 4 m, how many cubic metres are available? 96 m m 3 46 Maths & English for Automotive
5 A box trailer used for transporting drag racing cars is 38 m long by 3 m high by 6 m wide. How many cubic metres are there? 684 m 3 QUESTION 4 If a welder constructs a small trailer 2.2 m by 1.8 m by 0.5 m, how many cubic metres are available? 1.98 m 3 A mechanic s assistant makes a new tool box with the following dimensions: 600 mm by 150 mm by 100 mm. How many cubic millimetres have been made? mm 3 A MIG welder stands 1.2 m m m. What cubic area does it take up? 0.36 m 3 QUESTION 7 A spare parts box is 1 m long, 60 cm wide and 75 cm tall. How many cubic centimetres are available for storing parts? cm 3 The boot of a people carrier is 1.4 m wide m long 3 88 cm high. What is its cubic area in centimetres? cm 3 A panel beater works on a panel van that is 1.75 m high by 1.35 m wide by 3.6 m long. What is its total volume in cubic metres? 8.51 m 3 A paint sprayer needs to spray a room 3.8 m m m. How many cubic metres does he need to cover? 36.1 m 3 Section E: Volume of a cylinder calculating volumes of cylindrical objects. Volume of a cylinder (V c ) 5 (3.14) 3 r 2 (radius 3 radius) 3 height V c 5 3 r 2 3 h What is the volume of a drum that has a radius of 10 cm and a height of 50 cm? cm 3 What is the volume of a can of degreaser that has a radius of 3 cm and a height of 20 cm? cm 3 A canister of axle grease has a radius of 4 cm and a height of 11 cm. What is its volume? cm 3 Unit 15: Measurement Length, Area and Volume 47
6 QUESTION 4 b What is the volume of all three containers in total? 4710 cm 3 c How much is left in the 5 litre container? 290 cm 3 A container of body filler has a radius of 10 cm and a height of 15 cm. a What is its volume? An oil can has a radius of 5 cm and a length of 28 cm. How much grease can it hold? 2198 cm 3 A can of lock oil has a radius of 5 cm and a height of 16.5 cm. What is its volume? cm 3 A mechanic has a can of degreaser that has a radius of 3 cm and a height of 25 cm. What is its volume? cm 3 QUESTION 7 A 5 l container of anti-freeze gets poured into three containers. Each container has a radius of 5 cm and a height of 20 cm. a What is the volume of each container? 4710 cm 3 b If you use half on one job, how much is left? 2355 cm 3 A can of general purpose thinners has a radius of 11 cm and a height of 22 cm. a What is its volume? cm 3 b If you use 750 cm 3, how much is left? cm 3 A panel beater uses a can of body filler that has a radius of 6 cm and a height of 18 cm. What is its volume? cm cm 3 48 Maths & English for Automotive
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DR90. Baja Motorsports Inc. P.O. Box 61150 Phoenix, AZ 85082 Toll Free: 888-863-2252 PART NUMBERS AND PRICES ARE SUBJECT TO CHANGE 1 of 51
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367 000 Suction assembly for 1.000 l IBC and 205 l drums 1.060 mm suction tube. 367 003 Suction assembly for tanks 1.600 mm suction tube.
PUMPMASTER 2 accessories, other MOBILE oil dispensers PumpMaster 2 Accessories 01 OIL PUMPS 360 1 360 120 367 000 367 011 369 910 360 1 Wall bracket 360 120 Floor bracket 360 001 Bung adaptors 2" (M) connection
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