Chapter 11 Practice 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.
2. Mario’s company makes unusually shaped
Vertices: 16
imitation gemstones. One gemstone had 10 faces
Edges: 37
and 12 vertices. How many edges did the gemstone
have?
Faces:
a. 20 edges
b. 23 edges
a. 24
c. 25 edges
b. 22
d. 22 edges
c. 23
d. 26
Describe the cross section.
a.
b.
c.
d.
3.
pentagon
trapezoid
hexagon
cube
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.
b.
c.
d.
cube
trapezoid
pentagon
square
4.
a.
b.
c.
d.
hexagon
pentagon
pyramid
rectangle
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the nearest
whole number.
6.
5.83
23
3
5
Not drawn to scale
a. 318.09 m ; 326 m
b. 295 m ; 333 m
c. 295 m ; 348 m
d. 318.09 m ; 333 m
7.
8m
5m
14 m
Not drawn to scale
a. 220 m ; 332 m
c. 364 m ; 444 m
b. 220 m ; 444 m
d. 364 m ; 332 m
8. A jewelry store buys small boxes in which to wrap
c. 4208 cm
items that they sell. The diagram below shows one
d. 4228 cm
of the boxes. Find the lateral area and the surface
area of the box to the nearest whole number.
10. Find the surface area of the cylinder to the nearest
whole number.
20 in.
8 cm
1.22 cm
11 cm
10 in.
Not drawn to scale
a.
b.
c.
d.
46 cm
46 cm
23 cm
23 cm
; 222 cm
; 310 cm
; 310 cm
; 222 cm
9. 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. 4256 cm
Not drawn to scale
a.
b.
c.
d.
1257 in.
4200 in.
3770 in.
14002 in.
Find the surface area of the pyramid shown to the nearest whole number.
11.
25 yd
6 ft
5 ft
43 yd
5 ft
Not drawn to scale
Not drawn to scale
a.
b.
c.
d.
a.
b.
c.
d.
85 ft
145 ft
60 ft
25 ft
4278 yd
2836 yd
5671 yd
2150 yd
14. Find the surface area of the figure to the nearest
whole number.
12.
10 m
8m
5 2
Not drawn to scale
a.
b.
c.
d.
410 m
393 m
819 m
240 m
13. Find the lateral area of the pyramid shown to the
nearest whole number.
a.
b.
c.
d.
310 ft
155 ft
135 ft
74 ft
15. Find the surface area of the cone in terms of
.
15 cm
3 cm
Not drawn to scale
a.
b.
c.
d.
Not drawn to scale
54 cm
99 cm
51 cm
49.5 cm
a.
b.
c.
d.
7540 m
3770 m
4712 m
9425 m
a.
b.
c.
d.
17 m
34 m
8.5 m
1m
16. Find the lateral area of the cone to the nearest
whole number.
Find the volume of the given prism. Round to the nearest tenth if necessary.
17.
19.
4 ft
7 ft
11 ft
Not drawn to scale
a.
b.
c.
d.
308 ft
301 ft
298 ft
312 ft
18.
22 yd
15 yd
15 yd
20. Find the volume of the composite space figure to
the nearest whole number.
15 yd
Not drawn to scale
a.
b.
c.
d.
2143.4 yd
1750.1 yd
4286.8 yd
2475.0 yd
a. 170 cm
b. 180 cm
c. 120 cm
d. 60 cm
Find the volume of the cylinder in terms of
21.
.
h = 6 and r = 3
a. 27 in.
b. 108 in.
c. 54 in.
d. 324 in.
12 m
2.5 m
23. Find the height of the cylinder.
Not drawn to scale
a.
b.
c.
d.
75 m
60 m
37.5 m
187.5 m
a.
b.
c.
d.
22.
2.4 in.
7.2 in.
14.4
4.8 in.
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
24.
25.
10 cm
20 ft
24 ft
12 cm
Not drawn to scale
12 cm
Not drawn to scale
a.
b.
c.
d.
40 cm
480 cm
147.3 cm
720 cm
a.
b.
c.
d.
192 ft
9216 ft
4608 ft
3072 ft
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
a.
b.
c.
d.
26.
14 yd
207.3 in.
1866.1 in.
5598.3 in.
2799.2 in.
28.
5 yd
22 m
Not drawn to scale
a.
b.
c.
d.
366.5 yd
1026.3 yd
73.3 yd
549.8 yd
12 m
Not drawn to scale
a.
b.
c.
d.
27.
22 in.
552.9 m
829.4 m
1,244.1 m
3,317.5 m
18 in.
Not drawn to scale
Find the surface area of the sphere with the given dimension. Leave your answer in terms of
29. diameter of 16 cm
30. radius of 30 m
a. 256 cm
a. 1,800 m
b. 128 cm
b. 900 m
c. 32 cm
c. 3,600 m
d. 1024 cm
d. 450 m
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
31.
15 cm
a. 1,767 cm
b. 442 cm
c. 236 cm
d. 14,137 cm
.
32.
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
b. 3 : 5
5
15
c. 5 : 3
6
d. 225 : 81
18
17
51
Not drawn to scale
a.
b.
c.
d.
yes; 1: 3
yes; 1: 2
yes; 1: 5
no
33.
36. The surface areas of two similar solids are 311 ft
and 1037 ft . The volume of the larger solid is 1755
ft . What is the volume of the smaller solid?
a. 288 ft
b. 1,755 ft
c. 961 ft
d. 789 ft
30
6
9
54
17
85
Not drawn to scale
a.
b.
c.
d.
35. Find the similarity ratio of a prism with surface area
36 ft to a similar prism with surface area 225 ft .
a. 2 : 5
b. 3375 : 216
c. 5 : 2
d. 216 : 3375
yes; 1 : 10
yes; 1 : 5
yes; 1 : 6
no
34. Find the similarity ratio of a cube with volume 729
m to a cube with volume 3375 m .
a. 81 : 225
Other
37. The volumes of two similar solids are 729 m and
125 m . The surface area of the larger solid is
324 m . What is the surface area of the smaller
solid?
a. 56 m
b. 100 m
c. 500 m
d. 200 m
38. Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides
of the cylinder. The diameter of each ball is 13 cm.
a.
b.
c.
What is the volume of the cylinder? Explain your method for finding the volume.
What is the total volume of the three balls? Explain your method for finding the total
volume.
What percent of the volume of the container is occupied by the three balls? Explain
how you find the percent.
Chapter 11 Practice Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
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11.
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31.
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33.
34.
35.
36.
37.
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OTHER
38. ANS:
C
A
D
A
B
D
B
A
B
C
A
A
B
B
A
C
A
A
A
B
A
C
A
B
D
A
B
B
A
C
A
A
D
B
A
A
B
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11-1 Example 2
11-1 Example 2
11-1 Example 4
11-1 Example 4
11-1 Example 4
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CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
CA GEOM 8.0| CA GEOM 9.0
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CA GEOM 11.0
CA GEOM 11.0
CA GEOM 11.0
CA GEOM 11.0
CA GEOM 11.0
CA GEOM 11.0
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11-2 Example 2
11-2 Example 2
11-2 Example 2
11-2 Example 3
11-2 Example 3
11-3 Example 1
11-3 Example 1
11-3 Example 2
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11-3 Example 3
11-3 Example 4
11-4 Example 1
11-4 Example 2
11-4 Example 2
11-4 Example 1
11-4 Example 3
11-4 Example 3
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11-5 Example 1
11-5 Example 1
11-5 Example 3
11-5 Example 3
11-5 Example 4
11-6 Example 1
11-6 Example 1
11-6 Example 3
11-7 Example 1
11-7 Example 1
11-7 Example 2
11-7 Example 2
11-7 Example 3
11-7 Example 3
a.
b.
c.
To find the volume of the cylinder, use the formula. You need to use the height and the
radius of the cylinder. The radius is the radius of the ball or
. The
height of the cylinder is
since 3 balls occupy the cylinder.
V =
Use the formula for the volume of a cylinder.
V =
Substitute 6.5 for r and 39 for h.
V
5177
Use a calculator.
The volume of the cylinder is about 5177 cm .
Use the formula for volume of a sphere to find the volume of one sphere. Then
multiply the result by 3.
V
=
Use the formula for the volume of a sphere.
V
=
Substitute 6.5 for r.
V
1150
Use a calculator.
The volume of the three balls is about
cm , or 3450 cm .
To find the percent of the cylinder’s volume occupied by the balls, write a fraction with
the volume of the balls as the numerator and the volume of the cylinder as the
denominator. Then write the fraction as a percent.
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