2D shapes and 3D solids - Question Bank

1. A 3D solid occupies:
A) Space
B) A plane
C) A line
D) A point
2. The volume of a cube with side 'a' is given by:
A) 6a^2
B) a^3
C) 3a
D) a^2
3. How many vertices does a sphere have?
A) 0
B) 1
C) 2
D) Infinite
4. Which 2D shape has four equal sides but angles are not necessarily 90 degrees?
A) Square
B) Rectangle
C) Rhombus
D) Trapezium
5. A rectangle's adjacent sides are:
A) Always equal
B) Always unequal
C) Perpendicular
D) Parallel
6. The diameter of a circle is:
A) Half the radius
B) Twice the radius
C) Equal to the circumference
D) The distance from the center to the edge
7. Which 3D solid has no vertices?
A) Cube
B) Sphere
C) Pyramid
D) Cone
8. A 2D shape is also known as a:
A) Solid
B) Figure
C) Surface
D) Plane figure
9. How many faces does a cone have?
A) 1
B) 2
C) 3
D) 4
10. Which of the following is a property of a sphere?
A) It has flat faces
B) It has straight edges
C) All points on its surface are equidistant from the center
D) It has vertices
11. A face of a cube is a:
A) Circle
B) Rectangle
C) Square
D) Triangle
12. The sum of interior angles of a triangle is always:
A) 90 degrees
B) 180 degrees
C) 270 degrees
D) 360 degrees
13. Which 3D solid is formed by stacking identical circles?
A) Cone
B) Sphere
C) Cylinder
D) Cube
14. A point has:
A) Length and breadth
B) Length, breadth, and height
C) No dimension
D) Only one dimension
15. How many edges does a cylinder have?
A) 0
B) 1
C) 2
D) 3
16. Which 2D shape has exactly one pair of parallel sides?
A) Square
B) Rectangle
C) Rhombus
D) Trapezium
17. A parallelogram has:
A) All sides equal
B) Opposite sides parallel and equal
C) Four right angles
D) No parallel sides
18. The area of a circle is calculated using the formula:
A) 2 * pi * r
B) pi * r^2
C) 2 * pi * r^2
D) pi * r
19. Which 3D solid has 8 vertices, 12 edges, and 6 faces?
A) Cube
B) Pyramid
C) Cone
D) Sphere
20. A line segment is a part of a:
A) Circle
B) Plane
C) Line
D) Curve
21. How many vertices does a cone have?
A) 0
B) 1
C) 2
D) 3
22. A hexagon is a 2D shape with:
A) 5 sides
B) 6 sides
C) 7 sides
D) 8 sides
23. The radius of a circle is:
A) Twice the diameter
B) Half the diameter
C) Equal to the circumference
D) Equal to the area
24. Which 3D solid has only one face, which is circular?
A) Sphere
B) Cone
C) Cylinder
D) Torus
25. A rhombus has:
A) Four equal sides and four right angles
B) Opposite sides equal and parallel
C) Four equal sides and opposite angles equal
D) Two pairs of parallel sides
26. The area of a triangle is given by the formula:
A) 1/2 * base * height
B) base * height
C) 2 * base + height
D) base + height
27. A pyramid with a square base has:
A) 5 faces, 8 edges, 5 vertices
B) 6 faces, 12 edges, 8 vertices
C) 4 faces, 6 edges, 4 vertices
D) 5 faces, 5 edges, 5 vertices
28. Which 2D shape has no straight sides?
A) Square
B) Circle
C) Triangle
D) Rectangle
29. How many faces does a sphere have?
A) 0
B) 1
C) 2
D) 3
30. A square is a special type of:
A) Triangle
B) Circle
C) Rectangle
D) Rhombus
31. The distance around a circle is called its:
A) Diameter
B) Radius
C) Circumference
D) Area
32. Which 3D solid is like a can?
A) Cone
B) Sphere
C) Cylinder
D) Cube
33. A pentagon is a 2D shape with:
A) 4 sides
B) 5 sides
C) 6 sides
D) 7 sides
34. How many edges does a cuboid have?
A) 6
B) 8
C) 10
D) 12
35. Which 2D shape has three sides of potentially different lengths?
A) Square
B) Rectangle
C) Triangle
D) Circle
36. A cylinder has:
A) One circular face and one vertex
B) Two circular faces and one curved surface
C) Three faces and no edges
D) Four edges and four vertices
37. The area of a rectangle is calculated by:
A) Length + Breadth
B) 2 * (Length + Breadth)
C) Length * Breadth
D) Length / Breadth
38. Which 3D solid has a circular base and tapers to a point (vertex)?
A) Sphere
B) Cylinder
C) Cube
D) Cone
39. A triangle is a 2D shape with:
A) 3 sides and 3 vertices
B) 4 sides and 4 vertices
C) 5 sides and 5 vertices
D) 6 sides and 6 vertices
40. How many vertices does a cube have?
A) 4
B) 6
C) 8
D) 12
41. A rectangle has:
A) All sides equal
B) Opposite sides equal and parallel
C) No parallel sides
D) Only one pair of parallel sides
42. Which of the following is NOT a 3D solid?
A) Pyramid
B) Triangle
C) Cone
D) Cylinder
43. What is the perimeter of a square with a side length of 5 cm?
A) 10 cm
B) 15 cm
C) 20 cm
D) 25 cm
44. A sphere has:
A) One circular face and a vertex
B) Two circular faces and an edge
C) No faces, edges, or vertices
D) A curved surface
45. Which 2D shape has four equal sides and four right angles?
A) Rectangle
B) Rhombus
C) Square
D) Parallelogram
46. A shape that has length, breadth, and height is called a:
A) 2D Shape
B) Plane Figure
C) 3D Solid
D) Polygon
47. How many faces does a cuboid have?
A) 4
B) 6
C) 8
D) 12
48. A circle is defined by its:
A) Length and width
B) Radius and center
C) Height and depth
D) Vertices and edges
49. Which 3D solid has six square faces?
A) Sphere
B) Cone
C) Cube
D) Cylinder
50. A shape with length and breadth but no height is considered a:
A) 3D Solid
B) 2D Shape
C) Point
D) Line Segment
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