Advanced Geometry Name: Worksheet 9.2: Surface area of prisms

Advanced Geometry Name: Worksheet 9.2: Surface area of prisms

Advanced Geometry
Worksheet 9.2: Surface area of prisms and cylinders
Name:__________________________
For 1 – 4: Use the rectangular prism solid and net to answer each question
1. How many lateral faces are there?
2. What is the total lateral area?
10 ft
4 ft
10 ft
4 ft
4 ft
4 ft
3. What is the area of ONE base?
4. What is the total surface area of the rectangular prism?
For 5 – 9: Use the triangular prism solid and net to answer each question
5. How many lateral faces are there?
24 ft
6. Find the lateral area
7 ft
25 ft
25 ft
20 ft
20 ft
25 ft
7. What is the area of ONE base?
7 ft
24 ft
24 ft
8. What is the total surface area of the triangular prism?
Answer each question about the cylinder
9. How many bases are there?
12 cm
5 cm
10. What is the lateral area?
11. The net’s rectangle is the lateral area. One width is 12 cm. What is the
length of the rectangle?
5 cm
12. What is the area of ONE base?
12 cm
13. What is the total surface area of the cylinder?
Suppose the shape on the right is a massive wooded horse feeder without the upper lateral face. For more
longevity you will cover the inside and outside with sheet metal.
8.1 m
14. Find the total amount of sheet metal in square meters that you will need.
3m
12 m
4m
4m
2.8 m
Find the lateral and surface area for cylinder
15. Find the lateral area of the cylinder. Keep your answer in terms of
16. Find the area of one circular base. Keep your answer in terms of
π.
10 ft
11 ft
π.
17. Find the surface area of the cylinder. Keep your answer in terms of
π.
A cylinder has a height that is 2 times larger as its radius. The lateral area of the cylinder is
Answer each question.
18. What is the length of the cylinder’s radius?
19. What is the height of the cylinder?
20. What is the surface area of the cylinder? Keep your answer in terms of
π.
16π m2.