Worksheet Surface Area of Prisms
Name ________________________________
Period ___________
Use the diagram at the right.
1. Give the mathematical name of the solid.
2. What kind of figure is each base?
3. What kind of figure is each lateral face?
4. How many lateral faces does the solid have?
5. Name three lateral edges?
Find the Surface area (SA) of each right prism, and name the prism.
6.
Name ____________
SA = __________
7.
Name ____________
SA = __________
10 m
8m
7m
5m
9m
4m
8m
6m
6m
8.
Name ____________
SA = __________
9.
Name ____________
5.2 m
SA = __________
6m
2
3x y
8m
2
4x y
9x 2 y
Solve for x given the surface area S of the right prism. #11 Round your answer to two decimal places.
10.
11.
Find the Surface area (SA) of each right prism, and name the prism. Round answers to the nearest hundredth.
12. Name ____________
SA = __________
13. Name ____________
SA = __________
4 cm
3 ft
3 cm
4 ft
6 ft
8 cm
5 cm
14. Name ____________
SA = __________
15. Name ____________
SA = __________
12 m
9m
7m
10 m
6m
8m
Solve for x given the surface area S of the right prism. Round your answer to two decimal places.
16.
17.
18. A rectangular prism has a width of 2x 2 , length of 6xy , and height of 10xy2 . What is the surface
area of the figure
19. A regular hexagonal prism has an apothem of 8.3 and sides of 5 and a prism height of 12. What is
the surface area of the figure?
20. Mr. Bill wants to paint a rectangular toy box for his son. It has a width of 2 feet, length of 6 feet, and a
height of 2 feet. If one pint of paint will cover 20 square feet, then how many pints of paint will it take to paint
the toy box?
21. Dr. Doolittle wants to paint the sides of his barn. The barn is pictured below. If one gallon of paint will
cover 80 square feet, then how many gallons will he need? (Don’t forget the triangle part of the each side)
Roof
8 ft
16 ft
Door
20 ft
40 ft
22. Long Tall Tent Company makes tents in the shape of triangular prisms. Tent model 7T (pictured below)
has a length of 7 feet, width of 6 feet, and a height of 4 feet. You Buy It store has just ordered 40 tents to sell
in their camping stores. How much material will Long Tall Tent Company need to complete this order?
4 ft
6 ft
7 ft
23. Mattel toy company has decided the G.I. Joe needs a new look. G.I. Joe currently comes in a box that is 10
inches long, 3 inches wide, and 4 inches tall. The new version of G.I. Joe will be 2 inches taller, so the
dimension of the box must be increase by 2 inches all around. What is the difference in surface area of the new
box compared to the old box?
24. Mrs. Schroeder is going to wallpaper a room in her house. The room is 10 feet wide, 12 feet long, and 8
feet high. There are two doors in the room that are 4 feet by 6 feet, and one window that is 5 feet by 3 feet.
The wall paper she is using covers 46 square feet and cost $9.65 a roll. How many rolls will she need for the
room and how much will it cost her?
25. Find the surface area of a right rectangular prism with a height of 3x , width of 6x , and a length of 8x .
26. How many faces, edges, and vertices does a rectangular prism have?
27. How many faces, edges, and vertices does a hexagonal prism have?
28. If the surface area of a cube is 384 feet squared, then what is the length of one side?
29. The sides of a cube measure 4x  3y , what is the total surface area of the cube?
30. The total surface area of a cube is 216x 4 y 6 units squared. What is the length of one side?
Find the surface area of the right prism. #31 & #32 round your answers to two decimal places. #33 Radical form
31.
32.
33.