Chapter 1 – Three Dimensional Shapes – Practice set 5

📘 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

  1. A shape has only length. Which type of shape is it?
    A) 1D shape    B) 2D shape    C) 3D shape    D) Polygon

  2. 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

  3. Which shape has only one surface?
    A) Rectangle    B) Cylinder    C) Cone    D) Cuboid

  4. Which solid has side faces that are rectangles?
    A) Pyramid    B) Prism    C) Cone    D) Sphere

  5. A solid has one base and all side faces meet at one point. It is a:
    A) Prism    B) Cylinder    C) Pyramid    D) Cuboid

  6. Which shape can be made by stacking equal circles?
    A) Cone    B) Cylinder    C) Sphere    D) Pyramid

  7. Which solid shape has no edge and no vertex?
    A) Cone    B) Cylinder    C) Sphere    D) Cube

  8. A square pyramid has how many bottom/top faces?
    A) 1    B) 2    C) 4    D) 5

  9. Which shape is formed by a square base and four triangular faces?
    A) Cube    B) Square Pyramid    C) Square Prism    D) Cylinder

  10. 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.

  1. Which of the following are three-dimensional shapes?
    A) Cube    B) Triangle    C) Cone    D) Sphere

  2. Which shapes have a curved surface?
    A) Cone    B) Cylinder    C) Sphere    D) Cuboid

  3. Which shapes can have triangular faces?
    A) Triangular Pyramid    B) Square Pyramid    C) Cylinder    D) Triangular Prism

  4. 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.

  5. 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.

  6. Which objects may look like a cylinder?
    A) Drum    B) Pipe    C) Ball    D) Tin can

  7. Which of these are polygons?
    A) Triangle    B) Pentagon    C) Circle    D) Hexagon

  8. 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.
  1. A shape has 6 equal square faces. Name the shape.

    Answer: ____________________

  2. A shape has one curved surface and two circular faces. Name the shape.

    Answer: ____________________

  3. A shape has 4 triangular faces and 6 edges. Name the shape.

    Answer: ____________________

  4. A shape has 2 triangular faces and 3 rectangular faces. Name the shape.

    Answer: ____________________

  5. A shape has one circular face, one circular edge and one vertex. Name the shape.

    Answer: ____________________

  6. A shape has no flat face, no edge and no vertex. Name the shape.

    Answer: ____________________

  7. A shape has 5 vertices and 8 edges. Name the shape.

    Answer: ____________________

  8. A shape has 10 vertices, 15 edges and 2 pentagonal faces. Name the shape.

    Answer: ____________________

  9. A closed flat figure has 8 sides. Name the polygon.

    Answer: ____________________

  10. 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.
  1. A prism has only one base.

    Correct: ____________________

  2. The vertical faces of a pyramid are rectangular.

    Correct: ____________________

  3. A sphere has one circular face.

    Correct: ____________________

  4. A cone has two vertices.

    Correct: ____________________

  5. A circle is a polygon because it is closed.

    Correct: ____________________

  6. 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.
  1. Name the solid shape formed.
  2. What is the shape of its bottom face?
  3. How many vertices will this solid have?
  4. How many edges will this solid have?
  5. How many vertical faces will it have?

Section F – Logical Reasoning

  1. A prism has 20 vertices. How many sides does its base have?
  2. A pyramid has 14 edges. How many sides does its base have?
  3. A prism has 9 vertical faces. What is the name of its base polygon?
  4. A pyramid has 12 vertices. How many vertical faces will it have?
  5. A prism has 30 edges. How many vertices will it have?
  6. A pyramid has 10 vertical faces. How many edges will it have?

Section G – HOTS Questions ⭐

🧠 These questions test deep understanding of the chapter.
  1. If the number of sides of the base of a prism increases again and again, which shape will it start looking like?

    Answer: ____________________

  2. If the number of sides of the base of a pyramid increases again and again, which shape will it start looking like?

    Answer: ____________________

  3. A shape has a curved surface but cannot roll like a sphere. Name one such shape.

    Answer: ____________________

  4. Which shape is more suitable for packing books: sphere or cuboid? Give reason.

    Answer: ____________________

  5. 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.
  1. A prism has 11 vertical faces. How many edges does it have?

    Answer: ____________________

  2. A pyramid has 13 vertices. How many edges does it have?

    Answer: ____________________

  3. A prism has 36 edges. How many sides does its base polygon have?

    Answer: ____________________

  4. A pyramid has 18 edges. How many vertices does it have?

    Answer: ____________________

  5. A prism has 2 decagonal faces. How many vertical faces will it have?

    Answer: ____________________

Section I – Final Revision Questions

  1. Write any two differences between prism and pyramid.
  2. Write the elements of a cone.
  3. Write the elements of a cylinder.
  4. Write the elements of a sphere.
  5. Explain why a cube is also a prism.
  6. 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
1A) 1D Shape
2C) Circle and Cone
3A) Rectangle
4B) Prism
5C) Pyramid
6B) Cylinder
7C) Sphere
8A) 1
9B) Square Pyramid
10C) A prism has two equal bases.

Section B – Answers

Question Correct Options
1A, C, D
2A, B, C
3A, B, D
4A, B, D
5A, B, D
6A, B, D
7A, B, D
8A, B

Section C – Answers

  1. Cube
  2. Cylinder
  3. Triangular Pyramid
  4. Triangular Prism
  5. Cone
  6. Sphere
  7. Square Pyramid
  8. Pentagonal Prism
  9. Octagon
  10. Two-dimensional (2D) shape

Section D – Answers

  1. A prism has two equal bases.
  2. The vertical faces of a pyramid are triangular.
  3. A sphere has one curved surface and no faces.
  4. A cone has one vertex.
  5. A circle is not a polygon because it has no straight sides.
  6. A cube has six equal square faces.

Section E – Answers

  1. Pentagonal Prism
  2. Pentagon
  3. 10 Vertices
  4. 15 Edges
  5. 5 Vertical Faces

Section F – Answers

  1. 10 sides
  2. 7 sides
  3. Nonagonal Prism
  4. 11 vertical faces
  5. 20 vertices
  6. 20 edges

Section G – Answers

  1. Cylinder
  2. Cone
  3. Cone (Cylinder is also acceptable with a suitable explanation.)
  4. Cuboid, because books fit properly without leaving empty space.
  5. Pyramid

Section H – Answers

  1. 33 edges
  2. 24 edges
  3. 12 sides
  4. 18 vertices
  5. 10 vertical faces

Section I – Answers

  1. Any two differences:
    • Prism has two equal bases.
    • Pyramid has one base and one top vertex.

  2. Elements of a Cone:
    1 Vertex, 1 Circular Face, 1 Curved Face, 1 Circular Edge.

  3. Elements of a Cylinder:
    2 Circular Faces, 1 Curved Face, 2 Circular Edges.

  4. Elements of a Sphere:
    1 Curved Surface, No Edge, No Vertex.

  5. 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).

  6. 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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