Class 2 · Mathematics
Shapes around us
📘 Chapter notes
The key ideas of this chapter, answered through the six guiding questions. Read them with your textbook.
1What am I looking at?
Answer: Identifying 2D shapes and 3D solids in the objects around us.
2What are its main parts or ideas?
Answer: Solids have faces, edges and corners: a cube has 6 faces, 12 edges and 8 corners; a ball (sphere) has none.
3How does it work?
Answer: Trace the faces of solids to get flat shapes: a cube gives squares, a cylinder gives circles.
4Why is it important?
Answer: Shapes decide how things roll, slide and stack.
5What happens if something changes?
Answer: Curved surfaces roll; flat faces slide and stack.
6What should I remember for the exam?
Answer: Match objects to cube, cuboid, cylinder, cone and sphere, and count faces and corners.
📗 Full lesson: Shapes and spatial sense
This topic comes from GayaGnan's India-wide K–12 catalog. It is not copied from, or an official chapter of, any board's textbook: check your board's syllabus for the exact chapter and depth. Open as its own page →
🧊 3D / visual
🧊 3D
ℹ️ Colours show faces; real objects vary.
VIS-001 · Cube, cuboid, sphere, cone, cylinder and nets — Rotate; unfold net; show faces/edges/vertices
🎯 Learning outcomes
- Name and sort 2D shapes and 3D objects
- Count sides and corners of flat shapes
- Describe position with words like above, below, inside, left and right
Before you start: Recognising everyday objects.
📖 Explanation
Flat shapes such as a circle, triangle, square and rectangle can be drawn on paper. A triangle has 3 sides and 3 corners; a square has 4 equal sides; a rectangle has 4 sides with opposite sides equal; a circle has no corners.
Solid objects take up space. A ball is a sphere, a dice is a cube, a pipe is a cylinder, a birthday cap is a cone.
Position words tell where something is: the fan is above the table, the bag is under the bench, the pencil is inside the box.
In a rangoli at Pongal, children use circles, triangles and squares to make a pattern on the floor.
✗ A square turned on its corner becomes a different shape
✓ Turning a shape does not change it; it is still a square with 4 equal sides.
🧪 Try this activity
Go on a shape walk around the classroom. List 3 things shaped like a circle, a rectangle and a cylinder.
✍️ Question bank with answers
Tap an option to check multiple-choice answers. Open “Answer” or “Marking points” for the others.
-
How many corners does a triangle have?
Answer
A. 3
A triangle has 3 sides and 3 corners.
-
Which object is shaped like a cylinder?
Answer
B. a candle
A candle has a round top and bottom and straight sides like a cylinder.
-
Which shape has no corners?
Answer
D. circle
A circle is a curved line with no straight sides, so it has no corners.
-
Name a shape with 4 equal sides.
Answer
square
-
Which solid rolls in every direction?
Answer
sphere (a ball)
-
How is a square different from a rectangle?
Marking points
- A square has 4 equal sides
- A rectangle has only opposite sides equal
-
Draw a house using shapes and name each shape you used.
Marking points
- Square or rectangle for the wall
- Triangle for the roof
- Rectangle for the door
- Squares or circles for windows
-
You must stack blocks into a tower. Which shape is best, a cube or a sphere? Why?
Answer
- A cube
- Its flat faces stay still; a sphere rolls
-
Draw a triangle and label its sides and corners.
Answer
- Three straight sides joined
- Three corners marked
🎲 Practice more
A new set of questions every time you press the button. Tap an option to check it and see why. Maths, science, computer and commerce sets get fresh numbers and pictures on every try.
Turn on JavaScript to get practice sets.
🎯 Learning objective: Calculate volume and surface area of cubes, cylinders, cones and spheres.
💬 Questions and answers
1What am I looking at?
Answer: A solid shape that you can resize.
2What are its parts? (click a part to identify it)
Answer: Radius, height or side, faces and curved surfaces.
3How does it work?
Answer: Volume measures the space inside (cubic units); surface area measures the outer covering (square units).
4Why is it important?
Answer: Used for tanks, cans, rooms, packaging and construction.
5What happens if I change something? (use the sliders)
Answer: Double the radius of a cylinder and see the volume become four times larger.
6What should I remember for the exam?
Answer: Cube a³ and 6a²; cylinder πr²h and 2πr(r + h); cone ⅓πr²h; sphere ⁴⁄₃πr³ and 4πr².