📘 Practice Set 5
Chapter 1 – Three-Dimensional Shapes
✅ Final Mega Revision Test: This set contains exam-style, competency-based and competitive-level questions.
Section A – Select the Correct Option
-
A shape has only length. Which type of shape is it?
A) 1D shape B) 2D shape C) 3D shape D) Polygon -
Which pair shows one 2D shape and one 3D shape?
A) Triangle and Rectangle B) Cube and Cuboid
C) Circle and Cone D) Sphere and Cylinder -
Which shape has only one surface?
A) Rectangle B) Cylinder C) Cone D) Cuboid -
Which solid has side faces that are rectangles?
A) Pyramid B) Prism C) Cone D) Sphere -
A solid has one base and all side faces meet at one point. It is a:
A) Prism B) Cylinder C) Pyramid D) Cuboid -
Which shape can be made by stacking equal circles?
A) Cone B) Cylinder C) Sphere D) Pyramid -
Which solid shape has no edge and no vertex?
A) Cone B) Cylinder C) Sphere D) Cube -
A square pyramid has how many bottom/top faces?
A) 1 B) 2 C) 4 D) 5 -
Which shape is formed by a square base and four triangular faces?
A) Cube B) Square Pyramid C) Square Prism D) Cylinder -
Which statement is correct?
A) A sphere has many vertices.
B) A cone has two circular faces.
C) A prism has two equal bases.
D) A pyramid has rectangular vertical faces.
Section B – Multiple Correct Answers
📌 Instruction: More than one option may be correct.
-
Which of the following are three-dimensional shapes?
A) Cube B) Triangle C) Cone D) Sphere -
Which shapes have a curved surface?
A) Cone B) Cylinder C) Sphere D) Cuboid -
Which shapes can have triangular faces?
A) Triangular Pyramid B) Square Pyramid C) Cylinder D) Triangular Prism -
Which statements are true about a prism?
A) It has two equal bases.
B) Its vertical faces are rectangular.
C) It has only one vertex at the top.
D) It can have triangular or square bases. -
Which statements are true about a pyramid?
A) It has one base.
B) Its side faces are triangular.
C) It has two equal bases.
D) Its triangular faces meet at one top vertex. -
Which objects may look like a cylinder?
A) Drum B) Pipe C) Ball D) Tin can -
Which of these are polygons?
A) Triangle B) Pentagon C) Circle D) Hexagon -
Which shapes have at least one circular face?
A) Cone B) Cylinder C) Sphere D) Cube
Section C – Observation-Based Questions
🔍 Read each observation carefully and answer.
-
A shape has 6 equal square faces. Name the shape.
Answer: ____________________ -
A shape has one curved surface and two circular faces. Name the shape.
Answer: ____________________ -
A shape has 4 triangular faces and 6 edges. Name the shape.
Answer: ____________________ -
A shape has 2 triangular faces and 3 rectangular faces. Name the shape.
Answer: ____________________ -
A shape has one circular face, one circular edge and one vertex. Name the shape.
Answer: ____________________ -
A shape has no flat face, no edge and no vertex. Name the shape.
Answer: ____________________ -
A shape has 5 vertices and 8 edges. Name the shape.
Answer: ____________________ -
A shape has 10 vertices, 15 edges and 2 pentagonal faces. Name the shape.
Answer: ____________________ -
A closed flat figure has 8 sides. Name the polygon.
Answer: ____________________ -
A flat shape has only length and width. Is it 2D or 3D?
Answer: ____________________
Section D – Find the Mistake and Correct It
🔎 Each statement has one mistake. Rewrite the correct statement.
- A prism has only one base.
Correct: ____________________ - The vertical faces of a pyramid are rectangular.
Correct: ____________________ - A sphere has one circular face.
Correct: ____________________ - A cone has two vertices.
Correct: ____________________ - A circle is a polygon because it is closed.
Correct: ____________________ - A cube has six rectangular faces of different sizes.
Correct: ____________________
Section E – Case Study
📚 Case: A student cuts many equal pentagons from cardboard and places them exactly one above another. A solid shape is formed.
- Name the solid shape formed.
- What is the shape of its bottom face?
- How many vertices will this solid have?
- How many edges will this solid have?
- How many vertical faces will it have?
Section F – Logical Reasoning
- A prism has 20 vertices. How many sides does its base have?
- A pyramid has 14 edges. How many sides does its base have?
- A prism has 9 vertical faces. What is the name of its base polygon?
- A pyramid has 12 vertices. How many vertical faces will it have?
- A prism has 30 edges. How many vertices will it have?
- A pyramid has 10 vertical faces. How many edges will it have?
Section G – HOTS Questions ⭐
🧠 These questions test deep understanding of the chapter.
-
If the number of sides of the base of a prism increases again and again, which shape will it start looking like?
Answer: ____________________ -
If the number of sides of the base of a pyramid increases again and again, which shape will it start looking like?
Answer: ____________________ -
A shape has a curved surface but cannot roll like a sphere. Name one such shape.
Answer: ____________________ -
Which shape is more suitable for packing books: sphere or cuboid? Give reason.
Answer: ____________________ -
A tent has a flat bottom and triangular side faces meeting at the top. Which 3D shape does it resemble?
Answer: ____________________
Section H – Olympiad Challenge ⭐⭐
🏆 Use the rules of prisms and pyramids to solve these questions.
-
A prism has 11 vertical faces. How many edges does it have?
Answer: ____________________ -
A pyramid has 13 vertices. How many edges does it have?
Answer: ____________________ -
A prism has 36 edges. How many sides does its base polygon have?
Answer: ____________________ -
A pyramid has 18 edges. How many vertices does it have?
Answer: ____________________ -
A prism has 2 decagonal faces. How many vertical faces will it have?
Answer: ____________________
Section I – Final Revision Questions
- Write any two differences between prism and pyramid.
- Write the elements of a cone.
- Write the elements of a cylinder.
- Write the elements of a sphere.
- Explain why a cube is also a prism.
- Explain why a sphere has no edge.
✅ Practice Set 5 – Answer Key
This answer key is prepared according to the concepts explained in the chapter. All answers have been cross-verified.
Section A – Answers
| Question | Answer |
|---|---|
| 1 | A) 1D Shape |
| 2 | C) Circle and Cone |
| 3 | A) Rectangle |
| 4 | B) Prism |
| 5 | C) Pyramid |
| 6 | B) Cylinder |
| 7 | C) Sphere |
| 8 | A) 1 |
| 9 | B) Square Pyramid |
| 10 | C) A prism has two equal bases. |
Section B – Answers
| Question | Correct Options |
|---|---|
| 1 | A, C, D |
| 2 | A, B, C |
| 3 | A, B, D |
| 4 | A, B, D |
| 5 | A, B, D |
| 6 | A, B, D |
| 7 | A, B, D |
| 8 | A, B |
Section C – Answers
- Cube
- Cylinder
- Triangular Pyramid
- Triangular Prism
- Cone
- Sphere
- Square Pyramid
- Pentagonal Prism
- Octagon
- Two-dimensional (2D) shape
Section D – Answers
- A prism has two equal bases.
- The vertical faces of a pyramid are triangular.
- A sphere has one curved surface and no faces.
- A cone has one vertex.
- A circle is not a polygon because it has no straight sides.
- A cube has six equal square faces.
Section E – Answers
- Pentagonal Prism
- Pentagon
- 10 Vertices
- 15 Edges
- 5 Vertical Faces
Section F – Answers
- 10 sides
- 7 sides
- Nonagonal Prism
- 11 vertical faces
- 20 vertices
- 20 edges
Section G – Answers
- Cylinder
- Cone
- Cone (Cylinder is also acceptable with a suitable explanation.)
- Cuboid, because books fit properly without leaving empty space.
- Pyramid
Section H – Answers
- 33 edges
- 24 edges
- 12 sides
- 18 vertices
- 10 vertical faces
Section I – Answers
-
Any two differences:
• Prism has two equal bases.
• Pyramid has one base and one top vertex. -
Elements of a Cone:
1 Vertex, 1 Circular Face, 1 Curved Face, 1 Circular Edge. -
Elements of a Cylinder:
2 Circular Faces, 1 Curved Face, 2 Circular Edges. -
Elements of a Sphere:
1 Curved Surface, No Edge, No Vertex. - A cube is also a prism because it has two equal square bases and its side faces are rectangles (which are squares in a cube).
- A sphere has no edge because it has only one continuous curved surface.
⭐ Teacher's Note
This Practice Set has been prepared to strengthen conceptual understanding of:- ✔️ 2D and 3D Shapes
- ✔️ Polygon
- ✔️ Prism
- ✔️ Pyramid
- ✔️ Cube & Cuboid
- ✔️ Cylinder
- ✔️ Cone
- ✔️ Sphere
- ✔️ Faces, Edges and Vertices
- ✔️ Competitive Exam Thinking Skills
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