Name: Class: Date: ID: X Geometry Unit 11 Practice Test Short Answer 1. 2. What is the volume of the cylinder in terms of x? 3. What is the height of a square pyramid that has a side length of and a volume of? 1
4. A food manufacturer sells ice cream in cone with the dimensions shown. To the nearest tenth, how many fluid ounces of yogurt does the cup hold? (Hint: ) 5. What is the volume and surface area of the sphere in terms of x? 2
6. You want to design a cylindrical container for ice cream that has a volume of. You also want the height of the container to be 3 times the radius. To the nearest tenth, what should the radius of the container be? 7. Find the volume of the composite figure. Round your answer to the nearest tenth. 3
8. Find the volume of the composite figure. Round your answer to the nearest tenth. The figures are similar. Find the area. 9. The area of ABC is 35 square cm. The height of ABC is 7 cm and the height of DEF is 16 cm. Find the area of DEF. Round to the nearest square cm if necessary. 10. The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is 6 inches. Find the area of rectangle EFGH. Round to the nearest square inch if necessary. Find the volume of the prism. Round to the nearest tenth if necessary. 11. 12. 4
13. 14. Find the volume of the pyramid. Round to the nearest tenth if necessary. 15. 16. 5
Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth. 17. 18. Find the surface area of the sphere. Use 3.14 for π. Round to the nearest tenth. 19. Find the volume of the sphere. Use 3.14 for π. Round to the nearest tenth. 6
Determine whether the pair of solids are similar, congruent, or neither. Figures are not necessarily drawn to scale. 20. 21. 22. 23. Figures A and B are similar. Find the area of figure B. 24. Triangle A has a height of 6 inches and an area of 9 square inches. Triangle B has a height of 4 inches. 7
25. Rectangle A has a diagonal of 12 cm and an area of 72 square inches. Rectangle B has a diagonal of 9 inches. 26. Find the volume of a baseball if its diameter is 6.8 centimeters. 27. The surface area of a sphere is 682π square inches. Find the volume of the sphere. Round to the nearest tenth. 8
Geometry Unit 11 Practice Test Answer Section SHORT ANSWER 1. ANS: Piece A melts the fastest 2. ANS: 3. ANS: 4. ANS: 5. ANS: 6. ANS: 7. ANS: 8. ANS: 9. ANS: 183 cm 2 DIF: Basic REF: Lesson 11-5 TOP: Areas of similar figures. 10. ANS: 18 in 2 DIF: Basic REF: Lesson 11-5 TOP: Areas of similar figures. 11. ANS: 96 m 3 DIF: Basic REF: Lesson 12-4 TOP: Find volumes of prisms. KEY: Volume Prisms Volume of Prisms 12. ANS: 313.7 yd 3 DIF: Average REF: Lesson 12-4 TOP: Find volumes of prisms. KEY: Volume Prisms Volume of Prisms 1
13. ANS: 2331.1 cm 3 DIF: Average REF: Lesson 12-4 TOP: Find volumes of cylinders. KEY: Volume Cylinders Volume of Cylinders 14. ANS: 14,770.1 cm 3 DIF: Average REF: Lesson 12-4 TOP: Find volumes of cylinders. KEY: Volume Cylinders Volume of Cylinders 15. ANS: 3712 in 3 DIF: Average REF: Lesson 12-5 TOP: Find volumes of pyramids. KEY: Volume Pyramids Volume of Pyramids 16. ANS: 467.2 ft 3 DIF: Average REF: Lesson 12-5 TOP: Find volumes of pyramids. KEY: Volume Pyramids Volume of Pyramids 17. ANS: 3391.2 yd 3 DIF: Average REF: Lesson 12-5 TOP: Find volumes of cones. KEY: Volume Circular Cones Volume of Cones 18. ANS: 452.2 ft 2 DIF: Average REF: Lesson 12-6 TOP: Find surface area of spheres. KEY: Surface Area Spheres Surface Area of Spheres 19. ANS: 523.3 in 3 DIF: Average REF: Lesson 12-6 TOP: Find volumes of spheres. KEY: Volume Spheres Volume of Spheres 20. ANS: similar DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids. KEY: Congruency Similar Solids 21. ANS: neither DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids. KEY: Congruency Similar Solids 2
22. ANS: neither DIF: Basic REF: Lesson 12-8 TOP: Identify congruent or similar solids. KEY: Congruency Similar Solids 23. ANS: similar DIF: Average REF: Lesson 12-8 TOP: Identify congruent or similar solids. KEY: Congruency Similar Solids 24. ANS: 4 square inches area of triangle B = 4 2 Ê ˆ 9 Ë Á 6 area of triangle B 9 = 16 36 = 4 9 area of triangle B = 4 9 9 DIF: Average REF: Lesson 11-5 TOP: Areas of similar figures. 25. ANS: 40.5 square inches 2 area of rectangle B Ê 9 ˆ = 72 Ë Á 12 area of rectangle B 72 = 81 144 = 9 16 area of rectangle B = 9 16 72 DIF: Average REF: Lesson 11-5 TOP: Areas of similar figures. 26. ANS: about 164.6 cm 3 The volume of a baseball is given by the formula 4 3 π radius 3. DIF: Basic REF: Lesson 12-6 TOP: Solve multi-step problems. KEY: Solve multi-step problems. 3
27. ANS: 9325.6 in 3 The volume of a sphere is given by the formula 4 3 π radius 3. The surface area of a sphere is given by the formula 4π radius 2. DIF: Average REF: Lesson 12-6 TOP: Solve multi-step problems. KEY: Solve multi-step problems. 4