MCQ in Solid Geometry Part 1 Answer Key | Mathematics Board Exam

MCQ in Solid Geometry Part 1 Answer Key | Mathematics Board Exam

You have finished Part 1 of the Solid Geometry MCQ Series. Now use this answer key the right way.

This is not just a list of correct answers. It is a tool for finding out exactly where your understanding is strong and where it still needs work. Every answer here was compiled from past ECE Board Exam problems, engineering mathematics textbooks, academic journals, and other references that have helped ECE reviewees prepare seriously for the board exam.

Solid geometry is a topic that rewards careful thinking over speed. If you got an item wrong, do not just circle it and move on. Go back to the question, work through the solution again, and figure out where your reasoning went off track. Was it the formula you used? The way you visualized the figure? The setup of the equation? Knowing the answer is one thing. Understanding why it is correct is what actually sticks when exam day comes.

If you came here before attempting the questions, close this page and go back to Part 1 first. Do the work, then return here to check. That is the only way this review process delivers results.

Check every answer. Study every mistake. Carry what you learn into Part 2.

1. A. 144°

Solution: Determine the angle subtended by the sector removed

B. 565.5 m²

Solution: What is the area of the zone of a spherical segment?

3. A. 4:1

Solution: What is the ratio of the area of the second segment?

4. D. 69%

Solution: How much is the surface area increased?

5. C. 3.03%

Solution: What percent is the volume of the cube increased?

6. B. 10%

Solution: What is the percentage increase in its diameter?

7. D. 33%

Solution: What is the percentage increase in its volume?

8. D. 8 times

Solution: How many times does the volume of a sphere increases?

9. B. 0.296

Solution: Find the ratio of the volume of the small cone to the big cone

10. C. 13503.4 cm³

Solution: Find the volume of a cone to be constructed from a sector 01

11. C. 7710.82 cm³

Solution: Find the volume of a cone to be constructed from a sector 02

12. C. 381.70

Solution: Find the volume of the content of a conical vessel

13. B. 3x

Solution: What is the height of a right circular cone?

14. D. 5:2

Solution: What is the ratio of the slant height of a right circular cone?

15. A. 12

Solution: What is the base edge of a regular triangular pyramid?

16. B. 3

Solution: What is the upper base edge of the frustum of a regular pyramid?

17. C. 3108.87 cm³

Solution: What is the volume of a frustum of a cone?

18. A. 522,600 m³

Solution: Find the volume of a portion of an electrical railway

19. B. 311 ft³

Solution: Determine the volume of a right truncated triangular prism

20. C. 4.00

Solution: What is the altitude of the circular cylinder?

21. A. 4.00

Solution: Find the altitude of a circular cylinder

22. D. 1122.4 cm³

Solution: What is the volume of the right prism?

23. A. 200^1/3

Solution: At this moment, how deep is the water in the bigger tank?

24. A. 2/3

Solution: Find the volume of a spherical wedge

25. A. 3.77

Solution: Find the volume of a regular octahedron

26. A. 7.33

 

Solution: Find the radius of a hemispherical bowl in inches

27. A. 1.0

 

Solution: Determine the depth of the water in a spherical tank

28. B. 3.91

Solution: Find the total volume (in cubic inches) of ice cream

29. C. 3.8 in³

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

30. C. 4713.56

 

Solution: What volume inside the spherical shell not occupied?

31. D. The weight is doubled

32. A. 1/8

Solution: The volume of a cube is reduced to _____ if all the sides are halved

33. B. 33.1%

Solution: Find the volume of the sphere whose circumference of a great circle is 18π

34. B. 69

Solution: by how much is the surface area increased?

35. D. 0.03×3 cu. in.

Solution: Find the approximate change in the volume of a cube of side x inches

36. C. 648

Solution: The number of bricks in the bin is

37. B. 216 sq. cm.

Solution: Find the total surface area of a cube of side 6 cm.

38. C. 64 cubic meters

Solution: The space diagonal of a cube is 4√3 m. 

39. A. 33.75

Solution: How many liters of water will it hold if its length is 1.5 meters?

40. A. 35.26°

Solution: Find the angle formed by the intersection of a face diagonal to the diagonal of a cube

41. C. 72

Solution: The total surface area of the cube is

42. D. 1122.37 cm³

Solution: Find the volume of a regular hexagonal prism

43. A. 743.22 cm³

Solution: Find the volume of a regular pentagonal prism

44. D. 4.81 cm

Solution: how far apart are the bases?

45. A. 0.058

Solution: Find the volume of the water in cubic meters

46. B. 311 ft3

Solution: Determine the volume of a right truncated prism

47. B. 14.73 cu.cm

Solution: The volume of a regular tetrahedron of side 5 cm is

48. B. 2598 cu. cm.

Solution: The volume of the pyramid is

49. C. 4066.67 cu. m.

Solution: if the altitude of the frustum is 5 m, find its volume

50. B. 6 x 8

Solution: What are the dimensions of the lower base in m?

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