20 questions and answers about 3D shapes, suitable for a maths exhibition.

Here are 20 questions and answers about 3D shapes, suitable for a maths exhibition.

1. Q: What is a 3D shape?
   A: A three-dimensional (3D) shape is a solid figure that has length, width, and height (or depth).
2. Q: What is the name for a 3D shape with six square faces?
   A: A cube.
3. Q: Which 3D shape has no vertices (corners) and no edges?
   A: A sphere.
4. Q: How many faces, edges, and vertices does a cube have?
   A: A cube has 6 faces, 12 edges, and 8 vertices.
5. Q: What everyday object is a good example of a sphere?
   A: Examples include a soccer ball, a basketball, or an orange.
6. Q: What is the name of a solid object with a curved surface and two circular ends?
   A: A cylinder.
7. Q: What 3D shape is commonly used for traffic cones or party hats?
   A: A cone.
8. Q: What do you call the flat surface of a 3D shape?
   A: A face.
9. Q: What is the intersection of two faces of a solid figure called?
   A: An edge.
10. Q: What is a vertex?
    A: A vertex (plural: vertices) is a corner where edges meet.
11. Q: A shoebox is an example of what 3D shape?
    A: A cuboid (or rectangular prism).
12. Q: What 3D shape has one flat, circular face and one curved face that meets at a single vertex (apex)?
    A: A cone.
13. Q: What 2D shape is the net of a cube made of?
    A: Six squares.
14. Q: Is a trapezoid a 2D or 3D shape?
    A: A trapezoid is a 2D (flat) shape.
15. Q: Which shape has 2 flat faces and one curved face?
    A: A cylinder.
16. Q: What is a 3D shape with 20 faces called?
    A: An icosahedron.
17. Q: What is the formula for the volume of a cube, where ‘a’ is the length of an edge?
    A: Volume = a³ (a cubed).
18. Q: What shape would a can of baked beans be?
    A: Cylindrical.
19. Q: How many edges does a square-based pyramid have?
    A: It has 8 edges (4 on the square base and 4 leading to the apex).
20. Q: What shape has 5 faces, 9 edges, and 6 vertices?
    A: A triangular prism.