Name: ________________________ Class: ___________________ Date: __________ ID: A MA.7.G.2.1 1. What is the surface area of the cylinder in the diagram below, in square centimeters? Use 3.14 for π. ____ 2. Which expression would determine the difference in volume of the solids? (32)(7) 2 − (32)(7) 2 π 2 2 b. (32) (7) − (32)(7) π a. (32)(14) 2 − (32)(7) 2 π 2 2 d. (32)(14) − (32)(14) π c. 1 Name: ________________________ ____ ID: A 3. The rectangular prism below measures 4 inches by 6 inches by h inches. If the surface area is 308 square inches, what is the height, h, of the prism? a. b. ____ 5 inches 6 13 inches 11 c. d. 1 16 inches 4 24 inches 1 feet. The slant height 2 of each triangular face measures 7 feet. What is the approximate surface area of the pyramid? 4. The model of a pyramid has a square base. Each side of the base measures 3 a. b. 110.25 square feet 61.25 square feet c. d. 2 36.75 square feet 24.5 square feet Name: ________________________ ____ ID: A 5. Mike’s Ice Cream Stand has a giant ice cream cone on its rooftop. The cone is 8 feet tall with a diameter of 6 feet. What is the volume of the cone to the nearest hundredth? Use 3.14 for π. a. b. ____ 25.12 cubic feet 75.36 cubic feet c. d. 200.96 cubic feet 226.08 cubic feet 6. The approximate volume of a storage facility is 514,560 cubic feet. If the facility is in the shape of a rectangular prism that measures 96 feet wide and 40 feet tall, about how long is it? a. b. 12,864 feet 5,360 feet c. d. 3 402 feet 134 feet Name: ________________________ ID: A 7. What is the volume of the cone below, in cubic inches? Use 3.14 for π. ____ 8. What is the volume of a cylinder with a diameter of 16 centimeters and a height of 14 centimeters? Use 3.14 for π. a. b. 11,253.76 cubic centimeters 2,813.44 cubic centimeters c. d. 4 703.36 cubic centimeters 351.68 cubic centimeters Name: ________________________ ID: A 9. What is the volume of the square pyramid below, in cubic inches? ____ 10. The volume of a square prism is 250 cubic feet. What is the height of the prism if one side of the base is 5 feet? a. b. 5 feet 10 feet c. d. 50 feet 125 feet ____ 11. A cube has a surface area of 150 square centimeters. Its volume is 125 cubic centimeters. What is the side length of the cube? a. b. 3 centimeters 4 centimeters c. d. 5 5 centimeters 6 centimeters Name: ________________________ ID: A 12. What is the volume of the cylinder below, in cubic centimeters? Use 3.14 for π. Round your answer to the nearest tenth. 6 Name: ________________________ ID: A 13. A grain silo in the shape of a cylinder is shown below. How many cubic feet of grain can fit within the silo? Use 7 22 for π. 7 Name: ________________________ ID: A ____ 14. Jack has a tree house in the shape of a triangular prism. The base of the prism is shown below. If the height of the prism is 5 feet, what is its surface area? a. b. 60 square feet 180 square feet c. d. 300 square feet 600 square feet ____ 15. Ezra is setting up a new fish tank. The tank is 100 centimeters long, 67 centimeters wide, and 52 centimeters tall. Which of the following expressions can he use to estimate the volume of the fish tank in cubic centimeters? a. b. 100 + 67 + 52 100 + 70 + 50 c. d. 100 × 60 × 50 100 × 70 × 50 ____ 16. What is the surface area of a cylinder that has a diameter of 10 meters and a height of 3 meters? a. b. 55π square meters 80π square meters c. d. 160π square meters 260π square meters ____ 17. The right square pyramid pictured below is 6 feet high. What is the volume of this pyramid? a. b. 128 cubic feet 80 cubic feet c. d. 8 64 cubic feet 40 cubic feet ID: A MA.7.G.2.1 Answer Section 1. ANS: 785 2. 3. 4. 5. 6. 7. PTS: ANS: ANS: ANS: ANS: ANS: ANS: 1 C B B B D 392.5 PTS: 1 8. ANS: B 9. ANS: 50 PTS: 10. ANS: 11. ANS: 12. ANS: 1 B C 4421.1 PTS: 1 13. ANS: 3080 14. 15. 16. 17. PTS: ANS: ANS: ANS: ANS: 1 C D B A REF: PTS: PTS: PTS: PTS: PTS: Lesson 8-2 1 1 1 1 1 STA: REF: REF: REF: REF: REF: MA.7.G.2.1 Lesson 8-1 Lesson 8-1 Lesson 8-2 Lesson 8-1 Lesson 8-1 STA: STA: STA: STA: STA: MA.7.G.2.1 MA.7.G.2.1 MA.7.G.2.1 MA.7.G.2.1 MA.7.G.2.1 REF: Lesson 8-1 PTS: 1 STA: MA.7.G.2.1 REF: Lesson 8-1 STA: MA.7.G.2.1 REF: Lesson 8-1 PTS: 1 PTS: 1 STA: MA.7.G.2.1 REF: Lesson 8-1 REF: Lesson 8-2 STA: MA.7.G.2.1 STA: MA.7.G.2.1 REF: Lesson 8-1 STA: MA.7.G.2.1 REF: PTS: PTS: PTS: PTS: STA: REF: REF: REF: REF: Lesson 8-1 1 1 1 1 1 MA.7.G.2.1 Lesson 8-2 Lesson 8-1 Lesson 8-2 Lesson 8-1 STA: STA: STA: STA: MA.7.G.2.1 MA.7.G.2.1 MA.7.G.2.1 MA.7.G.2.1
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