MCQ in Solid Geometry Part 2 Answer Key | Mathematics Board Exam

MCQ in Solid Geometry Part 2 Answer Key | Mathematics Board Exam

Part 2 is done. Now the real work begins.

This answer key covers every item in the second set of the Solid Geometry MCQ Series on Pinoybix. The answers are drawn from past ECE Board Exam problems, engineering mathematics textbooks, academic journals, and other dependable references in the field. They are here to help you measure how well your understanding has developed since Part 1 and identify the areas that still need attention before exam day.

By Part 2, you should be moving beyond just plugging numbers into formulas. The questions in this set are designed to test whether you understand the concepts well enough to apply them in different contexts. If you found certain items harder to work through, that is useful information. It tells you exactly where to focus the rest of your review.

Go through every answer carefully. For each item you got wrong, trace the full solution and understand where your approach broke down. Do not rush this part. The few minutes you spend understanding one wrong answer now could be the difference between a passing and failing mark on the actual exam.

Part 1 answer key is still available on Pinoybix if you need to go back and review anything from the first set. Otherwise, take what you learned here and bring that focus into Part 3.

51. C. 7 m

Solution: If the volume is 118.2 cu. m., how far apart are the bases?

52. B. 360

Solution: How many gallons of gasoline does it contain?

53. D. 5.67 ft

Solution: If the tank is the vertical position, the depth of water in the tank is

54. D. 4

Solution: Find its altitude in meter on an edge

55. C. 54.6 cubic meters

Solution: How much water must be added so that the length reaches 18 cm.?

56. D. 26:27

Solution: The ratio of the volume of water to that of the cone is

57. D. 8:27

Solution: Find the ratio of the volume of the two cones

58. B. 381.7

Solution: Find the volume of its content in cc.

59. C. 5.04 cm

Solution: Find the altitude of the smaller cone

60. B. 47

Solution: What is the lateral area in sq. m?

61. 16√5 π cm² 

Solution: The lateral area is

62. D. 6

Solution: If its altitude is 3, find its radius

63. C. 28.274

Solution: Find the volume of the region outside the cone and inside the hemisphere

64. B. 13,504

Solution: What is the volume of the cone in cc?

65. D. 7711

Solution: Find the volume of the cone in cc

66. B. 0.79 cm

Solution: Find the distance on the slant edge between the markings for 1 cc and 2 cc

67. B. 122 cm³

Solution: If its altitude is 6 cm, find its volume

68. A.52.7 m²

Solution: What is the surface area of a sphere whose volume is 36 cu. m?

69. B. 33.1%

Solution: its volume is increased by

70. B. 10%

Solution: Find the percentage increase in its diameter

71. B. 33.1%

Solution: Find the percentage increase in volume of a sphere

72. C. 31.4%

Solution: The volume of a sphere is increased by how much

73. B. 243 cu. m.

Solution: What is the volume of the smaller sphere?

74. D. 10.25%

Solution: How much will the surface area of a sphere be increased

75. A. 234.57 cu. m.

Solution: Find the volume of the spherical segment of height 4 m.

76. D. (2/3)πr³

Solution: Find the empty space in the cylinder

77. A. 3 cm

Solution: The radius of the ball is

78. A. 972 cu. m.

Solution: The volume of the larger sphere is

79. B. 625π/3 cm³

Solution: The volume of water is

80. B. 92,011

Solution: The capacity of the tank in gallon is

81. C. 50π cu. cm.

Solution: Find the volume of a spherical sector

82. B. 4 cm

Solution: How far from the center of a sphere of a radius 10 cm should a plane be passed

83. A. 2613

Solution: How many liters of water must be added for the water to reach a depth of 1.75 m?

84. A. 654.5 cu. m.

Solution: Find the volume of a spherical segment of radius 10 m and the altitude 5 m

85. C. 581.78 sq. m.

Solution: Find the volume of a spherical wedge of radius 10 cm. and central angle 50°

86. A. 192π sq. in.

Solution: Determine the area of the zone of a sphere of radius 8 in. and altitude 12 in.

87. B. 4721 cm³

Solution: What volume inside the shell is not occupied by the block?

88. C. 3.8 cu. in.

Solution: What is the volume of water in the container?

89. B. 6

Solution: Determine the depth of water if the tank has a diameter of 30 cm

90. A. 1.0

Solution: Determine the depth of the water on the tank

91. B. 7.33

92. C. 2.3

93. A. 36π

Solution: The surface area of this sphere in sq. m. is

94. D. 25.73 cc

Solution: how much free space remains in the box?

95. A. 16 r³/3

Solution: find the volume of the solid

96. C. 2309 cc

Solution: Find the volume of the solid if every cutting plane perpendicular to the base

97. A

98. D. 3422 cubic units

Solution: The volume generated by the circle x^2 + y^2 + 4x – 6y – 12 = 0

99. D. 48π²

Solution: The volume generated by rotating the curve 9x^2 + 4y^2 = 36 

100. B. 355.31 cu. units

Solution: Find the volume generated by revolving the area bounded by the ellipse

101. B. 2228.8

Solution: What is the volume generated?

102. D. πa³ (sin Ѳ + cos Ѳ)

Solution: Find the volume generated

103. D. 144π cu. cm

Solution: What is the volume generated if it is revolved about the minor axis?

104. B. 23.54 cu. in.

Solution: Find the volume of wood that was removed

Online Questions and Answers in Solid Geometry Series

Following is the list of multiple choice questions in this brand new series:

Online Questions and Answers in Analytic Geometry: Points, Lines and Circles Series

Mathematics Board Examination Mastery | Math Engineering Pre-Board