3-Dimensional Figures and Solid Geometry MCQ Test: 3-Dimensional Figures and Solid Geometry MCQs - Practice Questions
1. What is the volume of a rectangular prism with dimensions 7 units, 9 units, and 12 units?
2. Determine the lateral surface area of a triangular prism with base dimensions 3 units, 4 units, and height 6 units.
3. Determine the lateral surface area of a cone with a radius of 5 units and height 9 units.
4. Calculate the surface area of a cube with a side length of 6 units.
5. Find the total surface area of a triangular pyramid with base dimensions 4 units, 5 units, and 6 units, and height 4 units.
6. If the side length of a square pyramid is 12 units, what is its volume?
7. What is the volume of a rectangular prism with dimensions 6 units, 8 units, and 10 units?
8. What is the relationship between the side length and apothem of a regular hexagon?
9. Calculate the surface area of a cube with a side length of 3 units.
10. If the diameter of a sphere is 10 units, what is its volume?
11. How many vertices does a cube have?
12. What is the relationship between the radius and the side length of an inscribed regular polygon?
13. What is the dihedral angle between two adjacent faces of a regular hexahedron (cube)?
14. What is the Euler's formula for polyhedra?
15. Define the circumradius of a polygon.
16. Find the total surface area of a triangular pyramid with base dimensions 7 units, 9 units, and 10 units, and height 8 units.
17. Find the total surface area of a rectangular prism with dimensions 5 units, 7 units, and 9 units.
18. How is the surface area of a triangular prism calculated?
19. Calculate the surface area of a triangular prism with base dimensions 6 units, 8 units, and height 10 units.
20. Calculate the volume of a cone with a radius of 6 units and height 8 units.
21. If the side length of a square pyramid is 8 units, what is its volume?
22. Calculate the surface area of a cone with a radius of 3 units and height 12 units.
23. In a tetrahedron, how many faces are triangles?
24. Calculate the volume of a sphere with a radius of 3 units.
25. If the side length of a square pyramid is 10 units, what is its volume?
26. Find the total surface area of a triangular prism with base dimensions 8 units, 10 units, and height 15 units.
27. Determine the lateral surface area of a cube with a side length of 8 units.
28. What is the angle between the diagonals of a rectangular prism?
29. Calculate the surface area of a triangular prism with base dimensions 6 units, 9 units, and height 12 units.
30. Define the apothem of a polygon.
31. If the side length of a cube is 3 units, what is its surface area?
32. Determine the surface area of a rectangular prism with dimensions 8 units, 10 units, and 12 units.
33. Determine the lateral surface area of a cone with a radius of 5 units and height 8 units.
34. What is the surface area of a cylinder with a radius of 7 units and height of 10 units?
35. What is the dihedral angle between two adjacent faces of a regular tetrahedron?
36. In a rectangular pyramid, what is the angle between the base and the slant height?
37. How is the area of a sector of a circle calculated?
38. What is the formula for the lateral surface area of a cylinder?
39. Calculate the volume of a triangular pyramid with base dimensions 6 units, 8 units, and height 10 units.
40. How many degrees are in the sum of the interior angles of an octagonal prism?
41. What is the formula for the volume of a pyramid?
42. Calculate the volume of a sphere with a radius of 5 units.
43. What is the ratio of the volume of a cone to the volume of a cylinder with the same base and height?
44. If the side length of a cube is 2 units, what is its volume?
45. What is the volume of a cube with a side length of 4 units?
46. Define the inradius of a polygon.
47. Determine the lateral surface area of a rectangular prism with base dimensions 4 units, 6 units, and height 8 units.
48. What is the surface area of a cylinder with a radius of 3 units and height of 5 units?
49. In a regular octahedron, how many edges meet at a vertex?
50. What is the formula for the surface area of a sphere?