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Geometry Unit 11 Review Revised Summer 2008 Show all work on a separate sheet of work paper. Remember to follow the criteria for credit. (Please round answers to the nearest tenth when necessary) Competency 1: Cross Sections 1. 2. If a square-based prism is intersected by a plane parallel to the lateral faces of the prism, what shape will the cross-section be? d. b. 8. A company is planning to create an ice cream cone. It is in the shape of a cone with the given dimension: the slant height is 8 inches and the diameter is 2 inches. How much waffle material is needed to create the cone? 9. Sketch a square prism with a lateral area of 96 square meters. Be sure to include the dimensions of your prism. c. e . Which of the following is the net for this square pyramid? a. d. 4. An orange juice can is a cylinder with a base diameter of 3.5 inches and a height of 7.5 inches. Find the lateral area of the label that wraps around the can? Which of the following is the net for this hexagonal prism? a. 3. 7. b. Competency 3: Surface Area 10. c. 3” e . 11. This net can be folded to make a cube. When folded, what is the number of the face that will be opposite the face with the 1 on it? 6 5 3 4 2 1 6. Find the lateral area of this rectangular prism. 12' Find the lateral area of this right triangular pyramid. 3 cm Find the surface area of this sphere. 13. The surface area of one sphere is 9 times the surface area of another sphere. What is the relationship between the radii of the 2 spheres? 14. A company is designing a new cereal box in the shape of a right rectangular prism. Determine how much cardboard is needed to create the box below. 6' 5' 4 ft 6 ft Page 1 of 3 Find the surface area of this right triangular prism. 12. Competency 2: Lateral Area 5. Find the surface 7” area of this cone. © Mastery Mathematics 2" 5" " Revised4 Summer 2008 16 cm 4 cm d = 8 cm Geometry Unit 11 Review Revised Summer 2008 Competency 4: D.P.-Multiple Choice 15. A polyhedron has 10 faces and 21 edges. How many vertices does it have? a. 7 b. 6 c. 13 d. 9 18. Which postulate proves that these two triangles are congruent? a. SAS e. 8 b. SSA 16. Find the area of the trapezoid. a. 32 ft2 b. 70 ft c. 64 ft 13’ 2 8’ 7’ d. SSS 8’ e. CPCTC 2 d. 24 ft 7’ 19. 2 e. 63 ft2 17. c. ASA A triangle with all sides congruent is a(n) _______________ triangle.. . The circumference of a circle is 5π feet. Find the length of the arc of 60°. Leave answers in terms of π. a. 5 6 π feet b. 300π feet c. 8π d. 150π feet e. 110π feet Page 2 of 3 © Mastery Mathematics Revised Summer 2008 Geometry 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. Unit 11 Review Rectangle c. e. 3 204 ft2 (if 12 X 5 base); 264 ft2 (if 6 X 5 base) 36 ft2 82.5 in2 25.1 n2 sketch can vary, example: other possibilities: 1X1X24; 4X4X6; 3X3X24 2 3' Revised Summer 2008 8' 3' 94 in 204 cm2 201 cm2 The radius of the larger sphere is 3 times as large as the radius of the other sphere. 76 in2 C. B. A. D. equilateral Page 3 of 3 © Mastery Mathematics Revised Summer 2008