Download Geometry Name: 10.2: Surface Area of Prisms and Cylinders For 1

Geometry
10.2: Surface Area of Prisms and Cylinders
Name:__________________________
For 1 – 5: 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 6 – 10: Use the triangular prism solid and net to answer each question
6. How many lateral faces are there?
24 ft
7 ft
25 ft
7. Find the lateral area
25 ft
20 ft
20 ft
25 ft 8. What is the area of ONE base?
7 ft 24 ft 24 ft
9. What is the total surface area of the triangular prism?
12 cm 5 cm
Answer each question about the cylinder
10. How many bases are there?
11. What is the lateral area?
12. The net’s rectangle is the lateral area. One width is 12 cm. What is the
length of the rectangle?
5 cm 13. What is the area of ONE base?
12 cm
14. What is the total surface area of the cylinder?
Find the lateral and surface area for each prism or cylinder.
15. Find the lateral area of the trapezoidal prism.
8.1 m 3 m
16. Find the area of the trapezoidal base.
12 m
4m
4m
2.8 m
17. Find the total surface area for the prism.
18. Find the lateral area of the cylinder. Keep your answer in terms of
19. Find the area of one circular base. Keep your answer in terms of
.
10 ft
11 ft
.
20. Find the surface area of the cylinder. Keep your answer in terms of
.
A cylinder has a height that is 2 times larger as its radius. The lateral area of the cylinder is
each question.
21. What is the length of the cylinder’s radius?
22. What is the height of the cylinder?
23. What is the surface area of the cylinder? Keep your answer in terms of
.
16 m2.
Answer