By the end of this chapter you'll be able to…

  • 1Describe how an object looks from different views: top view, side view, front view
  • 2Identify common 2D shapes: circle, square, rectangle, triangle — by number of sides and corners
  • 3Identify common 3D shapes: cube, cuboid, sphere, cylinder, cone — by faces, edges, and vertices
  • 4Draw simple 2D shapes and recognize them in everyday objects
  • 5Understand that 2D shapes are flat (length and breadth only), while 3D shapes are solid (length, breadth, and height)
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Why this chapter matters
This chapter opens the world of geometry by teaching children that the same object looks different from different views — top, side, front. It introduces 2D shapes (circle, square, rectangle, triangle) and 3D shapes (cube, cuboid, sphere, cylinder, cone) in a playful, visual way. Spatial reasoning — understanding how objects look from different angles — is a foundational skill for geometry, drawing, map-reading, and even future careers in engineering and design.

Where to Look From

Seeing Things From Different Sides

Have you ever noticed that the SAME thing can look DIFFERENT when you see it from another side? Let's explore!

A Glass from Different Views

Look at a GLASS from the TOP — you see a CIRCLE. Look at it from the SIDE — you see a RECTANGLE. The glass is still the SAME glass, but your VIEW changes how it LOOKS!

A Car from Different Views

  • From the TOP: Looks like a RECTANGLE with a smaller rectangle on top
  • From the FRONT: You see HEADLIGHTS, a GRILL, and a WINDSHIELD
  • From the SIDE: You see DOORS, WHEELS, and the long BODY of the car

A Table from Different Views

  • From the TOP: A flat rectangle or circle (the table top)
  • From the SIDE: Four legs and the top surface
  • From BELOW: You see the UNDERSIDE of the table and the legs from below

2D and 3D Shapes

2D (Two-Dimensional) Shapes

These are FLAT shapes. They have LENGTH and BREADTH but NO THICKNESS.

ShapeHow Many Sides?How Many Corners?
Circle0 (curved)0
Square4 (all equal)4
Rectangle4 (opposite equal)4
Triangle33

3D (Three-Dimensional) Shapes

These are SOLID shapes. They have LENGTH, BREADTH, and HEIGHT (or DEPTH).

ShapeFacesEdgesCorners
Cube6 (all squares)128
Cuboid6 (rectangles)128
Sphere1 (curved)00
Cylinder2 flat + 1 curved20
Cone1 flat + 1 curved11

Key Fact: A SQUARE is a 2D shape. A CUBE is a 3D shape. A cube has 6 square FACES.


Rangoli Patterns

A RANGOLI is a beautiful design made on the floor, especially during festivals like DIWALI and PONGAL.

  • Rangoli uses LINES, DOTS, and SHAPES
  • Many rangoli designs are SYMMETRICAL (same on both sides)
  • Colours make rangoli patterns LOOK BRIGHT and BEAUTIFUL

Try This: Draw a simple rangoli using dots and connect them with straight lines!


Mirror Halves — Symmetry

When you fold a shape along a line and both halves MATCH EXACTLY, the shape is SYMMETRICAL. The fold line is called the LINE OF SYMMETRY.

Examples of Symmetrical Things

  • A BUTTERFLY: Left wing matches right wing
  • A HEART: Left half matches right half
  • A SQUARE: Four lines of symmetry
  • A CIRCLE: MANY lines of symmetry (any line through the centre)

Examples of Things WITHOUT Symmetry

  • A SCRIBBLE on paper
  • Your LEFT hand and RIGHT hand (they are MIRROR images, not exactly the same!)
  • A BROKEN plate

Fun Activity: Fold a paper in half. Cut a shape. Open it. You made a SYMMETRICAL shape!


Dot Grid Drawing

Use dots to make shapes and patterns!

How to Make Shapes on a Dot Grid

  1. Place dots at equal DISTANCES (like on a chessboard)
  2. Join the dots with STRAIGHT LINES
  3. Make SQUARES, RECTANGLES, and TRIANGLES

Making a Square

On a dot grid, join 4 dots to make a SQUARE. Each side has the SAME number of dots.

Try This: On a dot grid, make:

  • A square of 2 dots x 2 dots
  • A rectangle of 3 dots x 2 dots
  • A triangle using 3 dots

The Magic of the Dice

A dice is a CUBE. It has 6 faces with dots from 1 to 6.

Important Dice Rule

Opposite faces of a dice always add up to 7.

  • 1 is opposite 6 (1 + 6 = 7)
  • 2 is opposite 5 (2 + 5 = 7)
  • 3 is opposite 4 (3 + 4 = 7)

This is TRUE for EVERY standard dice!

Making Your Own Dice

Cut out a CROSS-SHAPE from paper. Fold it into a CUBE. Write numbers 1 to 6. Make sure opposite faces add to 7!


Tile Patterns

Tiles are used on FLOORS and WALLS. They REPEAT to make BEAUTIFUL patterns.

  • SQUARE tiles can make a CHECKERBOARD pattern
  • TRIANGLE tiles can make a DIAMOND pattern
  • HEXAGON tiles fit together like a HONEYCOMB

Pattern Rule: Most tile patterns use SHAPES that FIT together WITHOUT GAPS.


Common Mistakes

  1. 'A square and a cube are the same.' — No! A square is FLAT (2D). A cube is SOLID (3D). A cube has 6 square faces.

  2. 'A circle has one side.' — A circle has NO straight sides. It has one CURVED edge.

  3. 'If I turn a shape, it becomes different.' — Turning a shape does NOT change it. A square is still a square even if you ROTATE it.

  4. 'The front of a car looks the same as the top.' — Different views show DIFFERENT parts. The top shows the roof; the front shows headlights.

  5. 'Any line through a shape is a line of symmetry.' — Only if both halves match EXACTLY when folded along that line.


Quick Self-Test

Q1: How many faces does a cube have? A1: 6 faces.

Q2: What do opposite faces of a dice always add up to? A2: 7.

Q3: Name one thing that is SYMMETRICAL. A3: A butterfly (left side matches right side).

Q4: How is a SQUARE different from a RECTANGLE? A4: A square has ALL four sides equal. A rectangle has OPPOSITE sides equal.

Q5: What shape do you see when you look at a glass from the top? A5: A circle.

Q6: What is a rangoli? A6: A beautiful design made on the floor using shapes, dots, and lines.

Q7: Draw a triangle on a dot grid. How many dots did you need? A7: 3 dots (one for each corner).

Q8: Can a square tile fit together with other square tiles without gaps? A8: Yes, square tiles fit together perfectly without gaps.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Different views of the same object
Top view: what you see looking straight down from above · Side view: what you see looking from the side · Front view: what you see looking from the front · The SAME object can look completely different from different views. Example: A glass looks like a circle from the top, but a rectangle from the side.
This is called 'spatial reasoning' — understanding 3D objects from 2D views.
2D Shapes (flat)
Circle: 0 sides, 0 corners, curved · Square: 4 equal sides, 4 corners · Rectangle: 4 sides (opposite sides equal), 4 corners · Triangle: 3 sides, 3 corners
2D shapes have only length and breadth — no thickness. You can draw them on paper.
3D Shapes (solid)
Cube: 6 square faces (like a dice) · Cuboid: 6 rectangular faces (like a brick, matchbox) · Sphere: perfectly round, no edges (like a ball) · Cylinder: 2 circular faces + curved surface (like a can, pipe) · Cone: 1 circular face + curved surface coming to a point (like an ice-cream cone, party hat)
3D shapes have length, breadth, AND height/depth. They occupy space — you can hold them.
2D faces of 3D objects
Cube: each face is a square · Cuboid: each face is a rectangle · Cylinder: top and bottom are circles · Cone: base is a circle · Sphere: any 'slice' through the centre is a circle
3D objects are made of 2D faces. A dice (cube) has 6 square faces. A party hat (cone) has 1 circular face.
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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT
Confusing a circle (2D) with a sphere (3D)
A circle is a FLAT shape you can draw on paper — like a bangle seen from the top. A sphere is a SOLID ball you can hold — like a cricket ball or a laddoo. The circle is the 2D face; the sphere is the 3D object.
WATCH OUT
Confusing a square (2D) with a cube (3D)
A square is a flat shape with 4 equal sides. A cube is a solid box — like a dice — with 6 square faces. A square is the face; a cube is the whole object.
WATCH OUT
Drawing a rectangle and calling it a cuboid
A rectangle is a 2D flat shape drawn on paper. A cuboid is a 3D solid — like a brick or a shoebox. You need to show depth to draw a cuboid.

Practice problems

Try each one yourself before tapping "Show solution". Active recall > rereading.

Q1EASY· Visualize
What shape do you see when you look at a glass from the top?
Show solution
You see a CIRCLE. The rim of the glass is circular when viewed from directly above.
Q2EASY· Identify
A dice is an example of which 3D shape?
Show solution
A dice is a CUBE. It has 6 square faces, all equal in size.
Q3EASY· Compare
How is a circle different from a sphere?
Show solution
A circle is a 2D flat shape — you can draw it on paper. It has length and breadth but no depth. A sphere is a 3D solid — like a ball you can hold. It has length, breadth, and depth. A circle is the face; a sphere is the whole object.
Q4EASY· Classify
Classify these as 2D or 3D: square, cube, triangle, cylinder, rectangle, cone.
Show solution
2D (flat): square, triangle, rectangle. 3D (solid): cube, cylinder, cone.
Q5MEDIUM· Apply
Draw what a pencil looks like from: (a) the side, (b) the top (looking at the blunt end). Label your drawings.
Show solution
(a) Side view: a long thin rectangle — shows the length of the pencil. (b) Top view (blunt end): a small circle or hexagon — shows only the cross-section at the tip. The same pencil looks very different from these two views.

5-minute revision

The whole chapter, distilled. Read this the night before the exam.

  • The same object looks different from different views: top view, side view, front view
  • 2D shapes (flat): circle (0 sides, curved), square (4 equal sides), rectangle (4 sides, opposite equal), triangle (3 sides)
  • 3D shapes (solid): cube (6 square faces, like dice), cuboid (6 rectangular faces, like brick), sphere (like ball), cylinder (like can), cone (like party hat)
  • A circle is 2D (flat drawing); a sphere is 3D (solid ball) — same with square (2D) vs cube (3D)
  • 3D objects have 2D faces: a cube has square faces, a cylinder has circular faces at top and bottom

CBSE marks blueprint

Where the marks come from in this chapter — so you can plan your prep.

Typical chapter weightage: 4–5 marks in Class 3 Mathematics assessment

Question typeMarks eachTypical countWhat it tests
Visual / Drawing (1 mark)12Drawing top/side/front views of simple objects; identifying 2D and 3D shapes
Short answer (2 marks)21–2Classifying shapes as 2D or 3D; naming shapes from descriptions; comparing circle/sphere, square/cube
Prep strategy
  • Play 'What Do I See?': hold up a familiar object (cup, book, toy) and ask: 'What shape do you see from the top? From the side?'
  • Collect 3D objects at home: dice (cube), matchbox (cuboid), ball (sphere), can (cylinder), party hat (cone)
  • Draw top, side, and front views of a simple object — like a chair or a car
  • Use building blocks to construct shapes — then look at them from different angles
  • Point out shapes in daily life: 'What 3D shape is that water bottle? What 2D shape is the window?'
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Last reviewed on 30 May 2026. Written and reviewed by subject-matter experts — read about our process.
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