Shapes Around Us (3D Shapes)
CBSE · Class 2 · Mathematics
NCERT Solutions for Shapes Around Us (3D Shapes) — CBSE Class 2 Mathematics.
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Let us Do — A. Musical Instruments and Shapes
A.iCircle the musical instruments that are similar in shape to a drum.Show solution
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
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
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
- 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
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
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
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
- 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
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
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
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
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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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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