MCAS Review - Measurement Session 4B

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1 Name: lass: ate: I: MS Review - Measurement Session 4 Multiple hoice Identify the choice that best completes the statement or answers the question. 1 trapezoid and some of its dimensions are shown below. 2 Some of the dimensions of a driveway are shown in the diagram below. The area of the trapezoid is 100 square centimeters. What is the height of the trapezoid? What is the area of the driveway? 2 cm 4 cm 8 cm 10 cm 1600 sq. yd 1700 sq. yd 2200 sq. yd 2400 sq. yd. 3 circular dinner plate has a radius times the radius of a circular salad plate. The area of the dinner plate is how many times the area of the salad plate? 1

2 Name: I: 4 cube has a volume of 27 cubic inches. What is the total surface area of the cube? 18 square inches 36 square inches 54 square inches 72 square inches 5 The diagram below shows a right circular cone and its measurements. 7 Nadia has a box shaped like a right rectangular prism. The length of the box is 5 feet. The height of the box is 2 feet. The volume of the box is 30 cubic feet. What is the width of the box? 3 feet 12 feet 20 feet 23 feet 8 The radius of a circle is 12 centimeters. What is the area, in square centimeters, of the circle? Which of the following is closest to the lateral surface area of the cone? 151 sq. ft 188 sq. ft 377 sq. ft 480 sq. ft. 6 Which of the following is closest to the circumference of a circle that has a diameter of 8 inches? 13 inches 25 inches 50 inches 64 inches 9 The diameter of a sphere is 8 inches. Which of the following is closest to the surface area of the sphere? 50 square inches 101 square inches 201 square inches 268 square inches 2

3 Name: I: Short nswer 10 Rectangle KLMN and its dimensions are shown below. Point P lies on KL. 11 Hannah's garden is in the shape of a parallelogram. diagram representing her garden is shown below. What is the area, in square centimeters, of NPM? Hannah needs to know the area of the garden in order to buy the correct amount of fertilizer. ased on the dimensions in the diagram, what is the area, in square yards, of Hannah's garden? nswer: nswer: 3

4 Name: I: Open Response 12 Zachary made a right square pyramid out of plaster for an art project. Each side of his pyramid's base measured 8 inches. The slant height, l, of his pyramid measured 5 inches. diagram of his pyramid is shown below. 13 The diagram below shows a circle inscribed in a square with side lengths of 20 inches. a.what is the area, in square inches, of the square? Show your work. a. What is the area, in square inches, of the base of Zachary's pyramid? Show your work. b.what is the circumference, in inches, of the circle? Show your work. b. What is the total surface area, in square inches, of Zachary's pyramid? Show your work. c.what is the area, in square inches, of the circle? Show your work. c. What is h, the height, in inches, of Zachary's pyramid? Show or explain how you got your answer. d.what is the area, in square inches, of the shaded region in the diagram? Show your work. d. Using the height you determined in part (c), what is the volume, in cubic inches, of Zachary's pyramid? Show your work. 4

5 Name: I: 14 Terrell designed the original external fuel tank for a spacecraft. The tank is in the shape of a right circular cylinder. The diagram below shows the tank s dimensions. a.what is the radius, in feet, of the tank? Show or explain how you got your answer. b.what is the total amount of fuel, in cubic feet, that the tank holds when it is full? Show or explain how you got your answer. Terrell is planning the design for a new tank that will also be in the shape of a right circular cylinder. When the new tank is full, it must hold 2 times the amount of fuel that the original tank held. Terrell is investigating two design options, which he calls esign P and esign Q. c.for esign P, the radius of the new tank would be the same as the radius of the original tank. What should be the height, in feet, of the new tank in esign P? Show or explain how you got your answer. d.for esign Q, the height of the new tank would be the same as the height of the original tank. What should be the radius, in feet, of the new tank in esign Q? Show or explain how you got your answer. 5

6 I: MS Review - Measurement Session 4 nswer Section MULTIPLE HOIE 1 NS: 2 NS: 3 NS: 4 NS: NOT: No alculator, March Retest 5 NS: NOT: March Retest 6 NS: NOT: March Retest 7 NS: NOT: No alculator, March Retest 8 NS: NOT: March Retest 9 NS: NOT: March Retest SHORT NSWER 10 NS: 150 square cm 11 NS: 44 square yards NOT: No alculator NOT: No alculator 1

7 I: ESSY 12 NS: 2

8 I: 3

9 I: 13 NS: See ESE website for sample student responses NOT: March Retest 14 NS: See ESE website for sample student responses NOT: March Retest 4

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