Name: ________________________
Class: ___________________
Date: __________
FTCE Competency 9 Measurement
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Find the area of the figure. Round to the nearest tenth if necessary.
2
2
A 8.2 m
C 5.6 m
2
2
B 12.3 m
D 16.3 m
2. Find the volume of the composite space figure to the nearest whole number.
A
170 cm
3
B
60 cm
3
C
180 cm
3
D
120 cm
3
Find the volume of the given prism. Round to the nearest tenth if necessary.
3.
A
1m
3
B
17 m
3
C
8.5 m
1
3
D
34 m
3
ID: A
Name: ________________________
ID: A
4.
3
3
A 143.5 cm
B 137.1 cm
C 141.1 cm
5. Find the surface area of the cone to the nearest tenth.
A
1093.3 cm
2
B
174 cm
2
C
603.2 cm
3
D
207.4 cm
2
D
168 cm
Find the area of the figure. Round to the nearest tenth if necessary.
6.
A
B
249.7 units2
300.3 units2
C
D
764.7 units2
366.7 units2
2
2
3
Name: ________________________
ID: A
7.
A
B
130 units2
148 units2
C
D
140 units2
122 units2
A
B
162.24 units2
86.9 units2
C
D
137.1 units2
61.76 units2
A
B
2304 units2
1936 units2
C
D
2688 units2
1920 units2
8.
9.
2
2
3
10. The surface areas of two similar solids are 328 f t and 1031 f t . The volume of the larger solid is 1719 f t .
What is the volume of the smaller solid?
A
308 f t
3
B
1,719 f t
3
C
820 f t
3
D
970 f t
3
Find the surface area of the sphere with the given dimension. Leave your answer in terms of p.
11. radius of 60 m
2
A 1,800p m
12. diameter of 14 cm
A
28p cm
2
B
3,600p m
B
784p cm
2
2
C
7,200p m
C
98p cm
3
2
2
D
14,400p m
D
196p cm
2
2
Name: ________________________
ID: A
13. Find the exact circumference of the circle.
A
47p mm
C
74p mm
B
24p mm
D
37p mm
14. Find the surface area of the figure to the nearest whole number.
A
74 ft
2
B
135 ft
2
C
158 ft
2
2
D
310 ft
D
64.8 m
Find the volume of the cylinder in terms of p.
15.
A
236.2p m
3
B
43.74p m
3
C
87.48p m
4
3
3
Name: ________________________
ID: A
16.
h = 6 and r = 3
54p in.
A
3
B
27p in.
3
C
324p in.
C
D
48
64
C
D
3,986
398.6
C
D
15,000
10,560
Complete.
17. 8 gal = ____ qt
A 32
B 2
18. 3.986 L = ____ mL
A
B
19. 2
0.3986
39.86
3
4
mi = ____ ft
A 1,452
B 14,520
20. 38 oz = ____ lb
A
2
1
4
C
3
3
8
B
2
3
8
D
3
A 44.6
B 0.446
22. 632 cm = ____ m
C
D
0.0446
4.46
A 6.32 m
B 0.632 m
23. 24 ft = ____ yd
C
D
12.64 m
63.2 m
C
D
72
6
21. 446 mL = ____ L
A
B
12
8
5
3
D
108p in.
3
Name: ________________________
ID: A
24. Brian made a large model of a Rubik’s cube with a side length of 2 feet. Calculate the volume of the cube in
cubic inches.
3
3
A 72 in
C 24 in
3
3
B 13,824 in
D 8 in
25. Salvador is assembling a model train engine. The actual train engine is 15 feet long and 9 feet wide. If the
scale he uses is 1 inch = 5 ft, what are the dimensions of his model engine? Write your answer to the nearest
tenth.
A
B
1.0 in. by 3.8 in.
1.8 in. by 3.0 in.
C
D
1.8 ft. by 3.0 ft.
2.0 in. by 3.0 in.
Select an appropriate unit to measure the length of each of the following.
26. distance traveled on a road trip
millimeter
centimeter
27. penny
C
D
meter
kilometer
meter
centimeter
28. calculator
C
D
kilometer
millimeter
centimeter
millimeter
29. length of a classroom
C
D
meter
kilometer
C
D
millimeter
meter
A
B
A
B
A
B
A
B
centimeter
kilometer
3
3
3
30. 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
100 m
2
B
500 m
2
C
56 m
6
2
D
200 m
2
Name: ________________________
ID: A
Find the surface area of the cylinder in terms of p.
31.
2
2
2
2
A 478.5 cm
B 269.5p cm
C 451p cm
D 660p cm
32. Antwoine has a rectangular pool that measures 20 feet by 15 feet. His dad had a sidewalk installed that goes
completely around the pool. If the sidewalk is 2 feet wide, what is the outer perimeter of the sidewalk?
A
B
70 ft
78 ft
C
D
24 ft
86 ft
Find the surface area of the pyramid shown to the nearest whole number.
33.
A
17 ft
2
B
42 ft
2
C
93 ft
7
2
D
51 ft
2
Name: ________________________
ID: A
34. Find the area of the figure. Round to the nearest tenth if necessary.
2
2
A 212 m
C 240 m
2
2
B 230 m
D 480 m
35. If the scale factor of two similar solids is 2 : 7, what is the ratio of their corresponding areas? What is the
ratio of their corresponding volumes?
A The ratio of their corresponding areas is 4 : 49.
The ratio of their corresponding volumes is 8 : 343.
B The ratio of their corresponding areas is 8 : 343.
The ratio of their corresponding volumes is 4 : 49.
C The ratio of their corresponding areas is 2 : 49.
The ratio of their corresponding volumes is 2 : 343.
D The ratio of their corresponding areas is 4 : 14.
The ratio of their corresponding volumes is 6 : 21.
3
3
36. Find the similarity ratio of a cube with volume 216 f t to a cube with volume 3375 f t .
A 36 : 225
B 5:2
C 225 : 36
D 2:5
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
37.
A
262 mm
3
B
314 mm
3
C
524 mm
8
3
D
105 mm
3
Name: ________________________
ID: A
Use formulas to find the lateral area and surface area of the given prism. Round your answer to
the nearest whole number.
38.
2
2
A
76 m ; 146 m
B
196 m ; 146 m
A
479 m ; 567 m
2
C
76 m ; 216 m
2
2
2
D
196 m ; 216 m
2
2
2
2
C
503 m ; 535 m
2
2
2
2
2
2
39.
B 479 m ; 535 m
D 503 m ; 519 m
40. Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary.
2
2
A 64 cm; 169.7 cm
C 32 cm; 169.7 cm
2
2
B 32 cm; 218.2 cm
D 64 cm; 218.2 cm
41. Audrey and her friend, Blaire, jogged together around the block at a speed of 8 feet per second. How many
feet per hour is this?
A
B
8 ft per h
28,800 ft per h
C
D
480 ft per h
0.13 ft per h
9
Name: ________________________
ID: A
42. Jamie was helping his dad fence in the yard around their house. The dimensions of the yard is 41 feet by 31
feet. How many square yards does the fencing cover? Round to the nearest hundredth.
2
A
70.61 yd
B
423.67 yd
2
2
C
1,271 yd
D
141.22 yd
2
The scale on a map is 1 inch : 15 miles. Use the given map distance to find the actual distance in miles.
43. 14.5 in.
A 217.5 mi
B 150 mi
C 2.5 mi
D 2135 mi
44. A map has a scale of 3 centimeters = 24 kilometers. If two cities are 10 centimeters apart on the map, what
is the actual distance between the two cities? If necessary, round your answer to the nearest tenth of a
kilometer.
A
B
C
D
80 km
1.3 km
7.2 km
12.5 km
10
ID: A
FTCE Competency 9 Measurement
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
A
C
B
C
C
D
D
B
A
A
D
D
D
C
C
A
A
C
B
B
B
A
B
B
B
D
D
A
D
A
B
D
D
C
A
D
C
C
C
D
1
ID: A
41.
42.
43.
44.
B
D
A
A
2