Mathematics: Class 2 — Chapter 2: Shapes Around Us

In a musical gathering, we can identify shapes based on common instruments:

• Cylinder: Similar in shape to a drum (dholak or tabla).
• Sphere: Similar in shape to a matka (clay pot) or round sweets like laddu.
• Cone: Similar in shape to a shehnai or a party hat.
• Cuboid: Similar in shape to a harmonium or a gift box.

Using a standard rectangular gift box as an example, we can define these core components:

• Faces: The flat surfaces of the solid object. A standard box or cube has $6$ faces.
• Edges (Sides): The line segments where two faces meet. A standard box or cube has $12$ edges.
• Corners (Vertices): The points where three or more edges meet. A standard box or cube has $8$ corners.

Different solid shapes have varying numbers of faces, edges, and corners:

• Cube (e.g., playing dice): $6$ flat faces, $12$ straight edges, $8$ corners.
• Cuboid (e.g., eraser, brick, crayon box): $6$ flat faces, $12$ straight edges, $8$ corners.
• Cone (e.g., ice cream cone, carrot): $2$ faces ($1$ flat circular face and $1$ curved face), $1$ curved edge, $1$ corner (apex).
• Cylinder (e.g., pipe, water bottle, marker): $3$ faces ($2$ flat circular faces and $1$ curved face), $2$ curved edges, $0$ corners.
• Sphere (e.g., ball, globe, orange): $1$ curved face, $0$ edges, $0$ corners.

A game where a blindfolded child picks an object from a collection and identifies it based on descriptions of its faces, edges, and corners (e.g., "Find an object with no corners" or "Find an object with only one corner").

• No Corners: Spherical and cylindrical objects like balls, marbles, pipes, and bottles.
• One Corner: Conical objects like funnels, conical tents, and ice cream cones.
• Multiple Corners: Cubes and cuboids like books, wooden blocks, and boxes.

Try creating physical models using cardboard sheets, clay, or dough:

• Make an object with four faces (such as a triangular pyramid).
• Make an object with only one face (such as a sphere).