Name: Period: Final Score: _____/59 Date: Score:_____/36 Surface Area Review Worksheet ___/10 Formulas Math each expression with the correct formula 1. Lateral area of prism ___________ 2. Surface area of prism ____________ 1 P 2 b. LA = 2πrh 3. Lateral area of cylinder ____________ c. SA = 4πr2 4. Surface area of cylinder ____________ d. LA = Ph 5. Lateral area of regular pyramid ____________ e. LA = πr 6. Surface area of regular pyramid ____________ f. SA = 6s2 7. Lateral area of cone ____________ g. SA = πr + πr2 8. Surface area of cone ____________ h. SA = 2πrh + 2πr2 9. Surface area of sphere ____________ 10. Surface area of cube ____________ i. SA = Ph + 2Ab 1 j. SA = P + Ab 2 a. LA = ___/20 Properties of Geometric Solids For of the following solids: a) name the solid b) # of bases c)faces d) # of vertices e) # of edges (5 pts each) 11. 12. 13. 14. Name: #Bases: #Faces: #Vertices: #Edges: Name: #Bases: #Faces: #Vertices: #Edges: Name: #Bases: #Faces: #Vertices: #Edges: Name: #Bases: #Faces: #Vertices: #Edges: ___/6 Prisms - For each solid, find the LA and SA. 15. LA = ; SA = Surface Area Review WS 16. LA = SA = 17. LA = SA = 1 Form C (H/M) Name: Period: Date: Score:_____/23 ___/6 Cylinders When finding lateral area and surface area, leave answer in terms of π 18. Find the lateral area and surface area of a cylinder with a. radius of 4cm and a height of 58cm. LA = SA = b. diameter of 4cm and a height of 12cm. LA = SA = 19. Find the radius of the base of each cylinder. a. Surface area = 628.3 and height = 15 b. Surface area = 603.2 and height = 10 ___/4 Cones When finding lateral area and surface area, leave answer in terms of π 20. Find the lateral area and surface area of a cone with the following dimensions a. height = 12 and slant height = 15 b. height = 8 and slant height = 10 LA = SA = LA = SA = ___/3 Spheres 21. Find the surface area of the following spheres/hemispheres given the following dimensions. Leave answer in terms of π a. sphere with radius = 6 b. hemisphere with radius = 8 c. sphere with diameter = 16 ___/8 Pyramids Find the lateral area and surface area of each regular pyramid. Assume a square base unless noted otherwise. 22. LA = 23. LA = 24. LA = 25. LA = SA = SA = SA = SA = ___/2 Real-World Applications 26. A gallon of paint costs $12.99 and covers 400 sq ft. How many gallons are needed to paint two coats on the walls and ceiling (not the floor) of a rectangular room that is 30 ft long, 18 ft wide and 8 ft high? Round to the next whole gallon. 27. The roof a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5m and the slant height of the roof is 1.9m, find the area of the roof. Surface Area Review WS 2 Form C (H/M)
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