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Name: Date: Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete several problems from each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test. TOPICS COVERED ON “geometry ” TEST: Area and Perimeter of Composite Figures Volume and Surface Area •Prisms •Cylinders •Pyramids •Cones NOTES SPACE/HELPFUL TIPS (to be filled out in class): 1 COMPOSITE FIGURES Directions: Find the area and perimeter of each composite figure. 1. 2. A = ___________ P = ___________ 3. A = ___________ P = ___________ 4. A = ___________ P = ___________ 5. A = ___________ P = ___________ 6. 13.5 in A = ___________ P = ___________ A = ___________ 7. 8. A = ___________ A = ___________ P = ___________ VOLUME Directions: Find the volume of each figure. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 3 SURFACE AREA Directions: Find the surface area of each figure. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 4 APPLYING VOLUME 1) Jim has a water bottle that is in the shape of a perfect cylinder. It has a diameter of 3 inches and a height of 8 inches. How much water will his water bottle hold? 2) Lynn is wrapping a present for her mom, the box she has is 10 in. by 8 in by 2 in. The box can hold 160 in3 but is too small, so she finds a box that is twice as wide. What is the new volume of the box? 3) The volume of a circular pool is 1526.04 ft.³ If the radius of the pool is 9 ft., what is the depth (height)? 4) The volume of a square-based pyramid is 121 cm.³ The area of the base is 30.25 cm2. What is the height of the pyramid? 5) A sandbox is 6 ft. long, 4 ft. wide, and 1 ft. tall. Another sandbox is 6ft. long, 8 ft. wide, and 2 ft. tall. How much more sand will the second sandbox hold than the first one? 6) Penn fills a paper cone with water ice. The cone has a radius of 3 centimeters and a height of 11 centimeters. How much water ice will the cone contain? 7) A rectangular planter box holds 285 in.³ of dirt. If its length is 19 in. and its width is 3 in., what is its height? 8) A cylinder jar is filled with jelly beans. If the jar can hold 300 jelly beans, approximately how many jelly beans would a cone shaped jar hold. Assume the jars have the same size circular base and the same height. 5 APPLYING SURFACE AREA 1) A can of soup is made of tin. How much material is needed to make the can if the soup makers want the container to have a radius of 1.5 inches and a height of 4 inches? 2) Joey is making a square based pyramid for his history project. He only wants to paint the four sides, not the base. How much paint will he need to use if the base has a side length of 12 in. and a slant height of 15 in.? 3) Mary wants to make an ice cream cone. She wants her cone to have a slant height of 20 cm and a diameter of 10 cm. How much does she need to make the cone? (remember the cone does not have a top). 4) JL Simpsons stage crew needs to paint a wooden box for the play, however, the bottom face will not be painted. If it is 2 ft long, 4 ft wide, and 5 ft tall, what is the area of the box that needs to be painted? 5) A rectangular birthday cake needs to be frosted , but it is still in the pan so only the top can be frosted. If the cake has a length of 8 in., a width of 5 in and a depth of 2 in. How much frosting will be needed? 6) Campbell's Soup company is running a contest where students are allowed to design a soup label. If you want to enter the contest what size paper will you need to make a label hat will fit on a can that is 5 inches tall and has a diameter of 3 inches? 6 Match each figure with it’s net. 1. _____ a. 2. _____ b. 3. _____ c. 4. _____ d. 5. _____ e. 6. _____ f. Thinking Questions: 1. Provide real life examples of when we need to find the volume of a 3-d shape. 2. Provide real life examples of when we need to find the surface area of 3-D shapes. 3. What is the formula used to find only the curved part of the cylinder. 4. What is the formula used to the surface area of the 4 triangles of a square based pyramid. 5. What happens to the volume of a cone when the height is doubled? 7 6. How does the volume of a pyramid and cone with the same base and same height relate? MULTIPLE CHOICE 1. 4. 2. 5. 3. 8 MULTIPLE CHOICE 6. 9. 7. 10. 8. 11. 9