3-Dimensional Figures and Solid Geometry MCQ Test 1

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?