Name Date Class. 1. What is the volume of a cube whose side length measures 21 cm? Show your thinking.
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1 Name Date Class 1. What is the volume of a cube whose side length measures 21 cm? Show your thinking. 2. The volume of a cube is 13,824 mm 3. What is the side length of the cube? Show your thinking. 3. An ice cream cone is shown at right. If the top is a hemisphere and the ice cream completely fills the cone, find the volume of the ice cream. Show your work. (use 3.14 = π) 8 cm 17 cm 4. Calculate the circumference of the circle. Round your answer to the nearest hundredth. Show your work. (use 3.14 = π) 42 in.
2 Name Date Class 1. What is the volume of a cube whose side length measures 21 cm? Show your thinking. 2. The volume of a cube is 13,824 mm 3. What is the side length of the cube? Show your thinking. 3. An ice cream cone is shown at right. If the top is a hemisphere and the ice cream completely fills the cone, find the volume of the ice cream. Show your work. (use 3.14 = π) 8 cm 17 cm 4. Calculate the circumference of the circle. Round your answer to the nearest hundredth. Show your work. (use 3.14 = π) 42 in.
3 5. Use the rectangular prism below to answer the following questions. a. What is the volume of the given rectangular prism? Show your work. b. If each side length of the given prism was doubled, what would be the volume of the new rectangular prism? How does this new volume compare to the original prism's volume? c. If each side length of the original prism was tripled, what would be the volume of the new rectangular prism? How does this new volume compare to the original prism's volume? 6. A cylinder has a volume of 60 cubic centimeters. a. If the height of the cylinder is 4 cm, what is the area of the base of the cylinder? Show your work. b. What is the radius of the circular base? Show your work. (use 3.14 = π).
4 5. Use the rectangular prism below to answer the following questions. a. What is the volume of the given rectangular prism? Show your work. b. If each side length of the given prism was doubled, what would be the volume of the new rectangular prism? How does this new volume compare to the original prism's volume? c. If each side length of the original prism was tripled, what would be the volume of the new rectangular prism? How does this new volume compare to the original prism's volume? 6. A cylinder has a volume of 60 cubic centimeters. a. If the height of the cylinder is 4 cm, what is the area of the base of the cylinder? Show your work. b. What is the radius of the circular base? Show your work. (use 3.14 = π).
5 7. A cylinder is shown here. a. What is the area of the circular base? (use 3.14 = π) b. What is the area of the rectangle that goes around the circumference? c. What is the total surface area? d. What is the volume? 8. At right is a triangular prism. a. Calculate the volume of the prism. Show all work. b. Calculate the surface area of the prism. Show all work..
6 7. A cylinder is shown here. a. What is the area of the circular base? (use 3.14 = π) b. What is the area of the rectangle that goes around the circumference? c. What is the total surface area? d. What is the volume? 8. At right is a triangular prism. a. Calculate the volume of the prism. Show all work. b. Calculate the surface area of the prism. Show all work..
7 9. Tom is trying to figure out which cylinder has the largest volume so that he has to take the least amount of trips to his fish tank to refill the water. Help him to determine which cylinder he should choose. (use 3.14 = π) 5" 6.5" 12" 10" Tom's fish tank is pictured below. Using the cylinder with the largest volume (round your answer from above to the nearest whole number), find out how many trips to the sink Tom will have to make in order to fill the fish tank. 3 inches 30
8 9. Tom is trying to figure out which cylinder has the largest volume so that he has to take the least amount of trips to his fish tank to refill the water. Help him to determine which cylinder he should choose. (use 3.14 = π) 5" 6.5" 12" 10" Tom's fish tank is pictured below. Using the cylinder with the largest volume (round your answer from above to the nearest whole number), find out how many trips to the sink Tom will have to make in order to fill the fish tank. 3 inches 30
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