Geometry Honors Surface Area Test Review
1. Find the number of vertices, faces, and edges for the figure.
2. Sketch (if possible) a nonconvex polyhedron.
3. Find the slant height of the pyramid shown. Round answers to the nearest tenth.
6 mm
x
3 mm
3 mm
Not drawn to scale
4. Describe the cross section.
[A] hexagon[B] cube[C] square[D] kite
5. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer.
6. Use Euler’s Theorem to calculate how many vertices a polyhedron has if it has 6 faces and 12
edges.
Geometry Honors Surface Area Test Review
7. Find the surface area of the right triangular prism.
24 m
20 m
20 m
8. Find the surface area of the right triangular prism.
20.6 mm
16 mm
35 mm
13 mm
[A] 1944.0 mm 2 [B] 972.0 mm 2 [C] 1458.0 mm 2 [D] 149,968 mm 2
9. If all the angles in the faces of the polyhedron below are right angles, then its surface area is
_____.
[A] 4485 in.2 [B] 1794 in.2 [C] 839 in.2 [D] 1678 in.2
Geometry Honors Surface Area Test Review
10. The figure shown below is a cylindrical solid with a circular cylindrical hole drilled out of
the center. Find the surface area of the resulting solid.
11. Find the surface area of the right cylinder to the nearest square unit. Use   314
. .
3m
7.6 m
[A] 32 m 2 [B] 100 m 2 [C] 23 m 2 [D] 200 m 2
12. Calculate the lateral area of a regular hexagonal pyramid that has a slant height of 17 cm and
a base side length of 8 cm.
13. Find the lateral area of the regular pyramid below.
[A] 168 ft 2 [B] 84 ft 2 [C] 532 ft 2 [D] 336 ft 2
14. Find the surface area of the right cone below. (Round the result to two decimal places.)
Geometry Honors Surface Area Test Review
15. The surface area of the right cone below is _____.
[A] 44 in.2 [B] 16 33 in.2 [C] 112 in.2 [D] 36 in.2
16. Find the surface area of the right rectangular prism.
1m
5m
6m
17. Describe the cross section
19. Find the total surface area of the following compound solid.
Geometry Honors Surface Area Test Review
20. Find the total surface area of the following compound solid
21. Find the total surface area of the following compound solid
22. Calculate the surface area of a cylindrical water tank that is 20m high and has a
diameter of 6m.
23. Calculate the surface area of a sphere with a radius of 5 cm.
24. Calculate the surface area of a sphere with a diameter of 16ft.
25. Calculate the surface area of a sphere with a circumference of 90 in.