Name: Class: Date: Complete each sentence with one of the following names of the geometric solids. cylinder rectangular prism cone pyrmaid
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1 1. Use pencil and paper to answer the question. Complete each sentence with one of the following names of the geometric solids. cylinder rectangular prism cone pyrmaid a. I have a square base and I have exactly 5 vertices. I am a. b. I have one base and exactly one vertex. I am a. c. I have two bases and four faces. I am a. d. I have exactly two bases and no vertices. I am a. 2. Use pencil and paper to answer the question. a. Which of the boxes below has the greatest volume? b. Explain how you know. Powered by Cognero Page 1
2 3. Use pencil and paper to answer the question. The rectangular prism below has a volume of 350. What is its height? 4. Use pencil and paper to answer the question. The rectangular prism below has a volume of 200. What is the area of the base? Powered by Cognero Page 2
3 5. Use pencil and paper to answer the question. Circumference of a circle: C = d Answer the following questions. For part c, use the key on your calculator or use 3.14 as an approximation for. Round your answer to the nearest hundredth. a. What is the radius of the circle? b. What is the diameter of the circle? c. What is the circumference of the circle? Powered by Cognero Page 3
4 6. Use pencil and paper to answer the question. Area of a circle: Volume of a cylinder: Answer the following questions. Use the key on your calculator or use 3.14 as an approximation for. Round your answers to the nearest hundredth. a. What is the area of the base of the cylinder? b. What is the volume of the cylinder? Powered by Cognero Page 4
5 7. Use pencil and paper to answer the question. The prism shown is made of centimeter cubes. Volume of rectangular prism: a. What is the area of the base of the prism? b. What is the height of the prism? c. What is the volume of the prism? d. If you kept the base the same, but doubled the volume of this prism, what would the new height be? e. Write a number sentence to show how you found the height in part d. Powered by Cognero Page 5
6 8. Use pencil and paper to answer the question. The prism shown is made up of centimeter cubes. a. What is the surface area of the prism? b. Explain how you found the surface area. Powered by Cognero Page 6
7 9. Use pencil and paper to answer the question. What information do you need to figure out how many square feet of paint you would use if you painted the entire cylinder (top, bottom, sides)? Powered by Cognero Page 7
8 10. Use pencil and paper to answer the question. Area of a circle: Volume of a cylinder: Volume of a cone: ( Answer the following question. Use the key on your calculator or use 3.14 as an approximation for. Round your answer to the nearest hundredth. If you place a cone inside of the cylinder as shown below, and the cone is an exact fit (that is, the apex of the cone touches the top of the cylinder, and the base of the cone fits exactly at the bottom of the cylinder), what would the volume of the cone be? Show your work. Write a number sentence to show how you found your answer. _ Powered by Cognero Page 8
9 11. Use pencil and paper to answer the question. Area of a circle: Volume of a cylinder: Answer the following question. Use the key on your calculator or use 3.14 as an approximation for. Round your answer to the nearest hundredth. If you place a cone inside of the cylinder as shown below, and the cone is an exact fit (that is, the apex of the cone touches the top of the cylinder, and the base of the cone fits exactly at the bottom of the cylinder), what would the volume of the cone be? Show your work. Write a number sentence to show how you found your answer. _ Powered by Cognero Page 9
10 12. Use pencil and paper to answer the question. The pyramid below has a height of 7 in.; the area of its base is. What is the volume of the pyramid? Show your work. Write a number sentence to show how you found your answer. _ Powered by Cognero Page 10
11 13. Use pencil and paper to answer the question. Priscilla s fish are sick, and she wants to add medicine to the tank. The instructions suggest adding one drop of medicine for every 4 L of water. The base of the fish tank measures 40 cm by 25 cm. The tank is filled with water to a height of about 20 cm. 1L = 1,000 a. How many drops of medicine should Priscilla add to her tank? Round your answer to the nearest whole number. b. Explain what you did to find the answer. Powered by Cognero Page 11
12 14. Use pencil and paper to answer the question. A Treasure Hunt The intrepid explorer Hope Moore went to the Lost Realm in search of the treasure of the Vanquished Tribe. Traps had been set to guard the treasure. Hope fell through the trap door into a 12-foot-high rectangular room that measured 5 feet wide by 9 feet long. Suddenly, the room began to fill with water but stopped when it was 4 feet deep. Hope sighed with relief, but her relief didn t last long. The two 5-foot-wide walls of the room began to move, making the room smaller and causing the water level to rise. Every 10 minutes, the walls were 1 foot closer together. a. Label the rectangular prism with the dimensions of the original room. b. Figure out how much time will pass before the water lifts Hope to the trap door exit in the ceiling of the room. Show your work and explain how you found your answer. Powered by Cognero Page 12
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