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Chapter 2 of 11
NCERT Solutions

Shapes Around Us (3D Shapes)

CBSE · Class 2 · Mathematics

NCERT Solutions for Shapes Around Us (3D Shapes) — CBSE Class 2 Mathematics.

45 questions20 flashcards5 concepts

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12 Questions Solved · 8 Sections

Let us Do — A. Musical Instruments and Shapes

A.iCircle the musical instruments that are similar in shape to a drum.Show solution
Given: A drum is a cylinder shape — it has two flat circular faces and a curved surface.

Instruments similar in shape (cylinder) to a drum: Tabla and Dholak (both are cylindrical in shape).

Answer: Circle the tabla and dholak (or any cylindrical instrument shown in the picture).
A.iiTick the musical instruments that are similar in shape to a matka.Show solution
Given: A matka (earthen pot) is similar to a sphere or a rounded/oval 3D shape.

Instruments similar in shape to a matka: Instruments that are round/sphere-like, such as a ghatam (clay pot drum).

Answer: Tick the instrument(s) that are round and sphere-like in shape (similar to a matka).
A.iiiTick the shape similar to the shape of a shehnai.Show solution
Given: A shehnai is a wind instrument that is narrow/tubular at one end and wider (cone-like) at the other end.

The shehnai is similar in shape to a cone or a combination of cylinder and cone.

Answer: Tick the cone-shaped option from the choices given.
A.ivHow is the shape of harmonium different from the shape of a drum?Show solution
Given:
- A harmonium is box-shaped (like a cuboid — it has 6 flat rectangular faces, 12 edges, and 8 corners).
- A drum is cylinder-shaped (it has 2 flat circular faces and 1 curved surface, with no corners).

Difference:
- The harmonium has flat faces and sharp corners/edges, like a cuboid.
- The drum has curved surfaces and circular faces, like a cylinder.
- The harmonium has 8 corners, but the drum has no corners.

Answer: The harmonium is shaped like a cuboid (box) with flat faces and corners, whereas the drum is shaped like a cylinder with curved surfaces and no corners.

Let us Do — B. Share Your Experiences

BHave you seen or played any of the musical instruments? Share your experiences with your classmates.Show solution
This is an activity-based question meant for class discussion.

Sample Answer: Yes, I have seen a tabla at home. My grandfather plays it. The tabla is cylindrical in shape. It has two circular flat faces on the top and bottom and a curved surface around it. It is played by beating the top face with hands.

(Students should share their own experiences about any instrument they have seen or played — e.g., drum, harmonium, flute, etc.)

Let us Do — C. Cross the Odd One Out

CCross the odd one out from each group of shapes/objects shown.Show solution
Concept used: Objects in each group share a common 3D shape. The one that does NOT belong to the same shape group is the odd one out.

General approach:
- Look at each group of objects.
- Identify the common shape (e.g., all cylinders, all cuboids, all spheres).
- The object that has a different shape is the odd one out — cross it.

Example: If a group has a tin can, a drum, a pipe, and a box — the box (cuboid) is the odd one out because the rest are cylinders.

Answer: Cross the object in each row that has a different 3D shape from the others in that group.

(Note: Since the actual image is not visible, students should apply the above logic to the objects shown in their textbook.)

Match the Musical Instruments with Their Solid Shapes

MatchMatch the musical instruments and objects with their solid shapes.Show solution
Concept used: Every object around us resembles a 3D solid shape.

Matching guide:
- Drum / Tabla / Dholak → Cylinder (2 circular faces, 1 curved surface)
- Harmonium / Gift box / Chalk box → Cuboid (6 rectangular faces, 12 edges, 8 corners)
- Ball / Matka (rounded) → Sphere (1 curved surface, no edges, no corners)
- Ice cream cone / Funnel → Cone (1 circular face, 1 curved surface, 1 corner)
- Dice / Sugar cube → Cube (6 square faces, 12 equal edges, 8 corners)

Answer: Draw lines matching each instrument/object to its correct solid shape as described above.

(Note: Since the actual image is not visible, students should use the above matching guide with the objects shown in their textbook.)

Let us Do — Decorating Shapes (Stars, Ribbons, Pompom Balls)

TableIf you have to decorate the following shapes with stars (for faces), ribbon stripes (for edges/sides), and pompom balls (for corners), how many of each will you need? Fill in the table.Show solution
Concept used:
- Stars are placed on each FACE of the shape.
- Ribbon stripes are placed on each EDGE of the shape.
- Pompom balls are placed on each CORNER of the shape.

Key facts about common 3D shapes:

Cube:
- Faces = 6, Edges = 12, Corners = 8
- Stars = 6, Ribbon stripes = 12, Pompom balls = 8

Cuboid (rectangular box):
- Faces = 6, Edges = 12, Corners = 8
- Stars = 6, Ribbon stripes = 12, Pompom balls = 8

Cylinder:
- Faces = 2 (flat circular faces) + 1 curved surface = 3 surfaces, Edges = 2 (curved), Corners = 0
- Stars = 2 (flat faces), Ribbon stripes = 2, Pompom balls = 0

Cone:
- Faces = 1 (flat circular face) + 1 curved surface, Edges = 1 (curved), Corners = 1
- Stars = 1, Ribbon stripes = 1, Pompom balls = 1

Sphere:
- Faces = 1 curved surface, Edges = 0, Corners = 0
- Stars = 0 (no flat face), Ribbon stripes = 0, Pompom balls = 0

Filled Table:

| Object | Stars (Faces) | Ribbon Stripes (Edges) | Pompom Balls (Corners) |
|---|---|---|---|
| Cube | 6 | 12 | 8 |
| Cuboid | 6 | 12 | 8 |
| Cylinder | 2 | 2 | 0 |

(Students should fill the table for the specific objects shown in their textbook using the values above.)

Let us Think — Look at the Objects and Fill the Table

TableLook at the objects and fill the table with the shape name, number of faces, edges, and corners.Show solution
Concept used: Properties of 3D shapes — faces, edges, and corners.

Definitions:
- Face: A flat or curved surface of a 3D shape.
- Edge: A line where two faces meet.
- Corner (Vertex): A point where edges meet.

Complete Table:

| Object | I look like a | Faces | Edges | Corners |
|---|---|---|---|---|
| Dice / Sugar cube | Cube | 6 | 12 | 8 |
| Chalk box / Brick | Cuboid | 6 | 12 | 8 |
| Ice cream cone | Cone | 2 (1 flat + 1 curved) | 1 | 1 |
| Tin can / Drum | Cylinder | 3 (2 flat + 1 curved) | 2 | 0 |
| Ball | Sphere | 1 (curved) | 0 | 0 |
| Matchbox / Book | Cuboid | 6 | 12 | 8 |
| Party hat | Cone | 2 (1 flat + 1 curved) | 1 | 1 |
| Pipe / Glass | Cylinder | 3 (2 flat + 1 curved) | 2 | 0 |

Note: For a cone and cylinder, the 'curved surface' is counted as a face at the Class 2 level.

(Students should match the objects shown in their textbook to the correct row and fill accordingly.)

Let us Do — Name the Objects by Number of Corners

Corners TableName the objects which have — No Corners, One Corner, Three Corners, and ____ Corners.Show solution
Concept used: Corners (vertices) are the pointed tips/meeting points of edges in a 3D shape.

No Corners (0 corners):
A. Ball (Sphere) — 0 corners
B. Tin can (Cylinder) — 0 corners
C. Bangle / Ring — 0 corners

One Corner (1 corner):
A. Ice cream cone (Cone) — 1 corner
B. Party hat (Cone) — 1 corner
C. Funnel (Cone) — 1 corner

Three Corners:
(Note: Common 3D shapes do not have exactly 3 corners. A triangular pyramid/tetrahedron has 4 corners. At Class 2 level, this may refer to a triangular prism or a shape made from clay/cardboard.)
A. Triangular prism — 6 corners (if this column means something else, students should refer to their textbook image)

Eight Corners (most likely the blank is 8):
A. Cube — 8 corners
B. Cuboid (box) — 8 corners
C. Brick — 8 corners

Answer: Fill in the names of objects from your surroundings that match the number of corners as described above.

Project Work

Project 1Take a cardboard sheet and try to make an object with four faces.Show solution
Object with four faces: A Triangular Pyramid (Tetrahedron).

Steps:
1. Draw 4 equilateral triangles on a cardboard sheet (one large triangle with 3 smaller triangles attached to its sides — this is called a net).
2. Cut along the outer edges.
3. Fold along the inner lines.
4. Stick the edges together with glue or tape.

Result: You will get a 3D shape (triangular pyramid) that has 4 triangular faces.

Answer: A triangular pyramid has 4 faces, 6 edges, and 4 corners.
Project 2Try to make an object with one face.Show solution
Object with one face: A Sphere (like a ball) has only 1 curved face.

Steps to make using clay/dough:
1. Take a ball of clay or dough.
2. Roll it between your palms to make it perfectly round.
3. You have made a sphere — it has only 1 curved surface (face), 0 edges, and 0 corners.

Alternatively, using cardboard:
1. Cut a circle from cardboard.
2. Roll it into a cone shape — but a cone has 2 faces.
3. The easiest way is to use clay to make a round ball (sphere).

Answer: A sphere has only 1 face (curved surface), no edges, and no corners.

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Frequently Asked Questions

What are the important topics in Shapes Around Us (3D Shapes) for CBSE Class 2 Mathematics?
Shapes Around Us (3D Shapes) covers several key topics that are frequently asked in CBSE Class 2 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Shapes Around Us (3D Shapes) — CBSE Class 2 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
Where can I get free NCERT Solutions for Shapes Around Us (3D Shapes) Class 2 Mathematics?
This page has free step-by-step NCERT Solutions for every exercise question in Shapes Around Us (3D Shapes) (CBSE Class 2 Mathematics) — written the way examiners award marks: given, formula, working, answer.

Sources & Official References

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