MCT 4C1 Measurement Test Name: Instructions: Show all of your work. Show a formula step, substitution step, and final answer with units. (a) Determine the volume of a square based pyramid with area of base of 21.3 m2 and height 5. m. (A diagram in not required) (2 marks) (b) Calculate the radius of a cylinder with a volume of 7 238 cm3 and a height of 27 cm. (A diagram in not required) (Answer to one decimal place) (3 marks) (c) Draw a trapezoid and label the information needed to write the formula for the area of a trapezoid. State the formula for the area of the trapezoid. (2 marks) 1. Determine the perimeter of each to 1 decimal place if necessary. (8 marks) a) 5 m I,, t 18 m 4,
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3. Determine the volume of each to 1 decimal place if necessary. (7 marks) a) 5 yd 12 yd b) I 2 ft j
4. Determine the surface area of the following (final answers to 1 decimal place): (8 marks) a) 2cm 2cm b) Answer in in2 16 cm diameter
5. The diagram given is a steel building with a curved roof. The building is entirely made of steel except the floor. Determine the cost of the building if the steel required to build it will cost $1.52! m2 (Answer to the nearest dollar) (6 marks) lom 6 m 4 m
6. A circular concrete path is to be built around a circular pool. The pool has a diameter of 16 ft. The path is to be 5 ft wide. (8 marks) a) Sketch a fully labeled diagram. b) Determine the volume of concrete needed for the path if the concrete is to be poured half of a foot deep. (fmal answer to 2 decimal places) c) Determine the cost of the concrete path if concrete costs $22.25/ yd3. (Answer to the nearest dollar)
7. A swimming pool in the shape of a rectangular prism, 15 by 16, is filled with water to an average depth of 6*. A tanker truck will transport the water for the pool. The truck has a cylindrical tank with half spheres on both ends. It has a total length of 18 and a diameter of 5. If the truck is filled on each trip, how many trips to the pool must the truck take to fill the pool? Labeled diagrams are required. (8 marks)
8. A lamp shade is depicted below. (just like in your homework!) 2cm 4cm Determine the amount of material required for one lamp shade to 1 decimal place. (6 marks)
9. Convert the following. Show steps as done in class using proportions. Final answers to 2 decimal places. (8 marks) a) 5 kg to lbs b) 1 gal to hl d) 5 2 to dm2
1. Imperial System MCT 4C1 - CONVERSIONS & FORMULAS LENGTH 1 foot 12 inches 1 yard 3 feet 1 mile 176 yards MASS 1 pound 16 ounces 1 ton 2 pounds VOLUME 1 pint 16 fluid ounces 1 quart 2 pints 1 gallon 8 pints 2. Imperial to Metric LENGTH MASS 1 foot.348 metres 1 pound.454 kilograms 1 inch 2.54 centimetres 1 ounce 28.35 grams 1 mile 1.69 kilometres 1 ton.97 tonnes VOLUME 1 gallon 3.785 litres 1 fluid ounce 29.574 millilitres 1 pint.47 3 litres 3. Surface Area SA = 21w + 21w + 21w SA =12 +41 2 SA=2 +lw+lw+lw SA=,I +, 2+27rrh SA=2.lrr SA=4irr 2 4. Volume V (Prism) = BH B = Area of the base V (Cone or Pyramid) = V (Sphere) = 3
MCT 4C1 Measurement Test Name: Instructions: Show all of your work. Show a formula step, substitution step, and final answer with units. (a) Determine the volume of a square based pyramid with area of base of 21.3 m2 and height 5am. (A diagram in not required) (2 marks) 7 (l3x<. ) 3 (b) Calculate the radius of a cylinder with a volume of 7 238 cm3 and a height of 27 cm. (A diagram in not required) (Answer to one decimal place) (3 marks) 2711 (?c.33 (c) Draw a trapezoid and label the information needed to write the formula for the area of a trapezoid. State the formula for the area of the trapezoid. (2 marks) A - - 1. Determine the perimeter of each to 1 decimal place if necessary. (8 marks) a) 5 rn 12 m 18 m p 4 so +c- l 4 #L -4 A /
: I 141#S + 2irt 14 ft 4 15ft,P, I, 3o4- rr c) 1 8 cm 1 4 12cm p; 4 ch..).2tc ) : 43! 2. Determine the area of each to 1 decimal place if necessary. a) 18 f r(lfl() Pt (C I b) Find the bricked area: 2 m Cti urn f 2oc
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5: The diagram is a steel building with a curved roof. The building is entirely made of steel except the floor. Determine the costof the f the steel required to build it will cost (cczfi (---.-- 4- - cjc 6 m lom 4 m 2r- 2 (Lgjc +2 (o(lo it (2yTo) 4. t oo4 7o2.. & (4f1Af1. /1c. 7?i9 777 V I,
- The A circular concrete path is to be built around a circular pooi. pool has a diameter of 16 ft. The path is to be 5 ft wide. a) Sketch a fully labeled diagram. b) Determine the volume of concrete needed for the path if the concrete is to be poured half of a foot deep. (final answer to 2 decimal places) c) Determine the cost of the concrete path if concrete costs r _ V c- 1 i34t- jv VV ck) sq \%f ((I) 1Tr 2çqq foos3( jcj j3 2. c ; V.f_J_,o
7. A swimming pool in the shape of a rectangular prism, 15 by 16, is filled with water to an average depth of 6 9. A tanker truck will transport the water for the pool. The truck has a cylindrical tank with half spheres on both ends. It has a total length of 18 and a diameter of 5. If the truck is filled on each trip, how many trips to the pooi must the truck take to fill the pool? Labeled diagrams are required. V (IJ/. 3 5.. L5 9cTL 4r ir ( Z.5V( 1)) w v / 4 IL
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_ 9. Convert the following. Show steps as done in class using proportions. Final answers to 2 decimal places. (8 marks) a) 5 kg to lbs b) 1 gal tohl 1( Oici :1 In or 1 S 11.1 Ir: x & /; Loop x 3)tcL K L- (L CLML d) 5 2 to dm2 3.H & d) 5 fffl 2 to dm2 MM. dl : I. I L Ic.. I : (os) coo, (c-,o) j I.