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Math 1106 Practice Test

53) Find the missing length in the following right triangle. If necessary, round to the nearest tenth.

A) 108 cm
B) 216 cm
C) 14.7 cm
D) 9 cm

Objective: (9.4) Use Pythagorean Theorem to Find Side

54) Find the length of the unknown side of the right triangle, where a and b are the legs and c is the hypotenuse.
a = 10, b = 24, c = ?

A) c = 25
B) c = 26
C) c = 18
D) c = 22

Objective: (9.4) Use Pythagorean Theorem to Find Side

Solve the problem . Round your answer to the nearest hundredth if necessary.

55) A long-distance runner runs 3 miles south and then 9 miles east. How far is the runner from the starting point?

A) 9.487 mi
B) 10.487 mi
C) 4.899 mi
D) 12 mi

Objective: (9.4) Solve Apps : Use Pythagorean Theorem

56) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the
ladder if the length is 3 ft more than its distance from the wall.

A) 9 ft
B) 12 ft
C) 18 ft
D) 15 ft

Objective: (9.4) Solve Apps : Use Pythagorean Theorem

Find the volume.

57)

Objective: (9.5) Find Volume of Solid

58) Find the volume of the circular cone pictured below. Use 3.14 for p. Round your answer to the nearest whole
number.

A) 91,393 m3
B) 30,464 m3
C) 1451 m3
D) 95,745 m3

Objective: (9.5) Find Volume of Solid

59) A sphere with radius 2.0 in.. Use 3.14 for π. Round your answer to the nearest thousandth.

A) 267.947 in.3
B) 18.84 in.3
C) 33.493 in.3
D) 16.747 in.3

Objective: (9.5) Find Volume of Solid

60) Find the volume of the circular cylinder below. Use 3.14 for π.

A) 2797.74 yd3
B) 155.43 yd3
C) 699.435 yd3
D) 310.86 yd3

Objective: (9.5) Find Volume of Solid

Find the total surface area of the given space figure.

61)


a = 19.8 cm, b = 15.8 cm, c = 18.6 cm.

A) 1950 cm2
B) 975 cm2
C) 1839 cm2
D) 1656 cm2

Objective: (9.5) Find Surface Area of Rectangular Solid

Find the surface area of the circular solid. Unless otherwise specified, use 3.14 for p and round your answer to the nearest
tenth.

62) A right circular cylinder with r = 3 in, h = 8 ft (Give results in square feet .)

A) 207.2 ft2
B) 6.5 ft2
C) 12.9 ft2
D) 1.6 ft2

Objective: (9.5) Find Surface Area of Circular Solid

63) A sphere with r = 7/8 in.

A) 2.4 in.2
B) 2.1 in.2
C) 3.2 in.2
D) 9.6 in.2

Objective: (9.5) Find Surface Area of Circular Solid

Solve the problem .

64) A certain marine engine has cylinders that are 3.41 cm in diameter and 4.11 cm deep. Find the total volume of 6
cylinders (to the nearest hundredth).

A) 225.10 cm3
B) 450.20 cm3
C) 37.52 cm3
D) 528.09 cm3

Objective: (9.5) Solve Apps: Find Volume

65) A certain marine engine has cylinders that are 3.54 inches in diameter and 5.54 inches deep. Find the total
volume of 8 cylinders (to the nearest hundredth).

A) 871.98 inches3
B) 435.99 inches3
C) 985.29 inches3
D) 54.50 inches3

Objective: (9.5) Solve Apps: Find Volume

66) How many yd3 can a shipping crate hold if it has dimensions of (Round to the nearest
hundredth unit.)

A) 100.00 yd3
B) 146.67 yd3
C) 268.89 yd3
D) 117.33 yd3

Objective: (9.5) Solve Apps: Find Volume

67) If the volume of the rectangular prism in the figure is 120 cubic centimeters , find the value of x .

A) 7 centimeters
B) 9 centimeters
C) 6 centimeters
D) 8 centimeters

Objective: (9.5) Find Length Given Volume/Surface Area

68) List the first 10 counting numbers in base 16.

A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
B) 1, 2, 3, 4, 5, 6, 7, 8, 9, 11
C) 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B
D) 1, 2, 3, 4, 5, 6, 7, 8, 9, A

Objective: (4.3) Count in Nondecimal Base

69) Write (in the same base) the counting numbers just before and just after 1044five.

A) 1043five, 1100five
B) 1042five, 1101five
C) 1043five, 1111five
D) 1043five, 1045five

Objective: (4.3) Count in Nondecimal Base

Convert the number to decimal form .
70) 2457eight

A) 95
B) 1327
C) 19,656
D) 144

Objective: (4.3) Convert to Decimal Form from Other Base

71) 137sixteen

A) 311
B) 215
C) 26
D) 4976

Objective: (4.3) Convert to Decimal Form from Other Base

Convert the decimal number to the given base.

72) 2,874 to base nine

A) 3843nine
B) 3193nine
C) 3548nine
D) 3483nine

Objective: (4.3) Convert from Decimal Form to Other Base

73) 6784 to base sixteen

A) 1A81sixteen
B) 1A80sixteen
C) 01A8sixteen
D) 1A08sixteen

Objective: (4.3) Convert from Decimal Form to Other Base

Convert the number to the indicated base.

74) 123five to base nine

A) 42nine
B) 24nine
C) 14nine
D) 38nine

Objective: (4.3) Convert to and from Other Base

Answer Key
Testname: PRACTICE_CHP9
1) B
2) C
3) D
4) C
5) B
6) D
7) C
8) B
9) D
10) D
11) A
12) C
13) B
14) B
15) A
16) D
17) D
18) A
19) C
20) B
21) C
22) C
23) D
24) A
25) A
26) A
27) A
28) B
29) C
30) C
31) D
32) C
33) C
34) C
35) C
36) B
37) C
38) D
39) A
40) C
41) D
42) D
43) A
44) A
45) D
46) C
47) C
48) B
49) C
50) A
51) A
52) C
53) C
54) B
55) A
56) D
57) B
58) B
59) C
60) C
61) A
62) C
63) D
64) A
65) B
66) B
67) D
68) D
69) A
70) B
71) A
72) A
73) B
74) A
 

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