Geometry - Chapter 11 Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Use Euler’s Formula to find the missing number.
Vertices: 15
Edges: 33
Faces:
a. 20
____
b. 19
c. 21
d. 23
2. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 13 faces and 11 vertices.
How many edges did the gemstone have?
a. 25 edges
b. 22 edges
c. 27 edges
d. 24 edges
Describe the cross section.
____
____
3.
a. pentagon
b. cube
c. trapezoid
d. square
a. cube
b. pentagon
c. hexagon
d. Trapezoid
4.
____
5. Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show
the inside of his model, so he sliced the figure as shown. Describe the cross section he created.
a. pyramid
b. pentagon
c. hexagon
d. rectangle
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the
nearest whole number.
____
6.
6
36
3
5
Not drawn to scale
a. 468 m ; 519 m
b. 504 m ; 512 m
____
c. 468 m ; 534 m
d. 504 m ; 519 m
7.
5m
4m
19 m
Not drawn to scale
a. 192 m ; 382 m
b. 342 m ; 287 m
c. 342 m ; 382 m
d. 192 m ; 287 m
____
8. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the
boxes. Find the lateral area and the surface area of the box to the nearest whole number.
5 cm
2.54 cm
12 cm
Not drawn to scale
a. 90 cm ; 146 cm
b. 181 cm ; 206 cm
c. 90 cm ; 206 cm
d. 181 cm ; 146 cm
Find the surface area of the cylinder in terms of
____
.
9.
9 in.
16 in.
Not drawn to scale
a. 324
in.
b. 288
in.
c. 936 in.
d. 450
c. 504
d. 382.5 cm
in.
____ 10.
9 cm
19 cm
Not drawn to scale
a. 333
cm
b. 211.5 cm
cm
____ 11. The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface area of the cylinder in
terms of .
a. 4332 cm
b. 4208 cm
c. 4256 cm
d. 4228 cm
____ 12. Find the surface area of the cylinder to the nearest whole number.
20 in.
10 in.
Not drawn to scale
a. 1257 in.
b. 3770 in.
c. 4200 in.
d. 14002 in.
____ 13. Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a
theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round
to the nearest square foot.
a. 123 ft
b. 61 ft
c. 33 ft
d. 66 ft
Find the surface area of the pyramid shown to the nearest whole number.
____ 14.
6 ft
5 ft
5 ft
Not drawn to scale
a. 25 ft
b. 145 ft
c. 60 ft
d. 85 ft
____ 15. Find the slant height x of the pyramid shown to the nearest tenth.
7 mm
x
9 mm
9 mm
Not drawn to scale
a. 8.3 mm
b. 11.4 mm
c. 5.7 mm
d. 5.45 mm
____ 16. Find the lateral area of the pyramid shown to the nearest whole number.
25 yd
43 yd
Not drawn to scale
a. 5671 yd
b. 4278 yd
____ 17. Find the surface area of the cone in terms of
c. 2836 yd
d. 2150 yd
c. 54
d. 49.5 cm
.
15 cm
3 cm
Not drawn to scale
a. 99
cm
b. 51
cm
cm
____ 18. Find the slant height of the cone to the nearest whole number.
19 m
10 m
Not drawn to scale
a. 21 m
b. 24 m
c. 19 m
d. 22 m
____ 19. Find the lateral area of the cone to the nearest whole number.
Not drawn to scale
a. 9425 m
b. 4712 m
c. 3770 m
d. 7540 m
____ 20. The lateral area of a cone is 103 cm . The radius is 37 cm. Find the slant height to the nearest tenth.
a. 1.7 cm
b. 2.8 cm
c. 2.6 cm
d. 1.5 cm
____ 21. Find the lateral area and surface area of the cone. Round the answers to the nearest tenth. (The figure is not
drawn to scale.)
a. L.A. = 791.7 ft ; S.A. = 1244.1 ft
b. L.A. = 395.8 ft ; S.A. = 791.7 ft
c. L.A. = 622.0 ft ; S.A. = 791.7 ft
d. L.A. = 1583.4 ft ; S.A. = 1244.1 ft
____ 22. Find the surface area of a conical grain storage tank that has a height of 30 meters, a diameter of 20 meters,
and a slant height of 32 meters. Round the answer to the nearest square meter.
a. 3267 m
b. 1319 m
c. 2325 m
d. 1005 m
Find the volume of the given prism. Round to the nearest tenth if necessary.
____ 23.
4 ft
7 ft
11 ft
Not drawn to scale
a. 312 ft
b. 301 ft
c. 308 ft
d. 298 ft
a. 17 m
b. 34 m
c. 8.5 m
d. 1 m
____ 24.
____ 25. Find the volume of the composite space figure to the nearest whole number.
a. 120 cm
b. 170 cm
c. 60 cm
d. 180 cm
Find the volume of the cylinder in terms of
.
____ 26.
7 in.
10 in.
Not drawn to scale
a. 140
b. 490
in.
____ 27.
in.
c. 245
in.
d. 70
in.
12 m
2.5 m
Not drawn to scale
a. 37.5
m
b. 187.5 m
c. 75
b. 27
c. 324
m
d. 60 m
____ 28.
h = 6 and r = 3
a. 54 in.
in.
in.
d. 108
in.
____ 29. Find the height of the cylinder.
a. 14.4
b. 7.2 in.
c. 2.4 in.
d. 4.8 in.
____ 30. The volume of a cylinder is 980 in. . The height of the cylinder is 20 in. What is the radius of the cylinder?
a. 18 in.
b. 7 in.
c. 327 in.
d. 49 in.
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
____ 31.
10 cm
12 cm
12 cm
Not drawn to scale
a. 720 cm
b. 40 cm
c. 147.3 cm
d. 480 cm
c. 4608 ft
d. 192 ft
____ 32.
20 ft
24 ft
Not drawn to scale
a. 3072 ft
b. 9216 ft
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 33.
14 yd
5 yd
Not drawn to scale
a. 549.8 yd
b. 73.3 yd
c. 1026.3 yd
d. 366.5 yd
____ 34.
22 m
12 m
Not drawn to scale
a. 552.9 m
b. 829.4 m
c. 1,244.1 m
d. 3,317.5 m
Find the surface area of the sphere with the given dimension. Leave your answer in terms of
____ 35. diameter of 16 cm
a. 256 cm
b. 32
____ 36. radius of 30 m
a. 450 m
b. 1,800 m
cm
c. 1024 cm
d. 128
cm
c. 3,600 m
d. 900
m
.
____ 37. A balloon has a circumference of 23 cm. Use the circumference to approximate the surface area of the balloon
to the nearest square centimeter.
a. 529 cm
b. 1662 cm
c. 674 cm
d. 168 cm
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
____ 38.
4 mm
a. 67 mm
b. 134 mm
c. 268 mm
d. 201 mm
b. 24,429 cm
c. 339 cm
d. 763 cm
____ 39.
18 cm
a. 3,054 cm