📘 Practice Set 4
Chapter 1 – Three-Dimensional Shapes
✅ Focus: This set gives advanced practice on observation, logic, counting rules, nets, prisms, pyramids and real-life 3D shapes.
Section A – Choose the Correct Answer
- A prism with an octagonal base has how many vertical faces?
A) 6 B) 7 C) 8 D) 9 - Which shape can be formed by folding a net with one square and four triangles?
A) Cube B) Square pyramid C) Cylinder D) Sphere - Which shape has exactly one top point and one circular base?
A) Cone B) Cylinder C) Cuboid D) Prism - A prism has 14 vertices. How many sides does its base have?
A) 5 B) 6 C) 7 D) 8 - Which of these objects has no corner?
A) Dice B) Brick C) Ball D) Book - A pyramid has 12 edges. How many sides does its base have?
A) 5 B) 6 C) 7 D) 8 - Which shape has both flat and curved surfaces?
A) Sphere B) Cone C) Rectangle D) Triangle - The vertical faces of a square pyramid are:
A) Squares B) Rectangles C) Triangles D) Circles
Section B – Complete the Pattern
- Triangle → Triangular Prism, Square → __________ Prism
- Triangle → Triangular Pyramid, Square → __________ Pyramid
- Circle → Cylinder, Semicircle folded → __________
- 3-sided polygon → Triangle, 6-sided polygon → __________
- 5-sided base prism → Pentagonal Prism, 7-sided base prism → __________ Prism
- 8-sided base pyramid → Octagonal Pyramid, 4-sided base pyramid → __________ Pyramid
Section C – Assertion and Reason
Choose the correct option:
A) Both Assertion and Reason are true, and Reason explains Assertion.
B) Both Assertion and Reason are true, but Reason does not explain Assertion.
C) Assertion is true, but Reason is false.
D) Assertion is false, but Reason is true.
-
Assertion: A cube is a three-dimensional shape.
Reason: A cube has length, width and height. -
Assertion: A sphere has vertices.
Reason: A sphere has a curved surface. -
Assertion: A cylinder has two circular faces.
Reason: A cylinder is formed by stacking equal circles. -
Assertion: A polygon can be open.
Reason: A polygon is a closed figure with three or more sides.
Section D – Count and Write
| Description | Shape Name | Vertices | Edges |
|---|---|---|---|
| Prism with triangular base | |||
| Pyramid with square base | |||
| Prism with pentagonal base | |||
| Pyramid with triangular base |
Section E – Give Reason
- A circle is not called a polygon.
- A prism has more than one base.
- A cone has only one vertex.
- A square pyramid is not a prism.
- A net helps us understand 3D shapes.
Section F – Case-Based Questions
Case: A teacher gives students some equal square pieces of cardboard. Students place many square pieces exactly one above another. A solid shape is formed.
- Which three-dimensional shape is formed?
- What is the shape of its top and bottom faces?
- How many vertices does this shape have?
- How many edges does this shape have?
- Is this shape a prism or a pyramid?
Section G – Challenge Yourself ⭐
- A pyramid has 11 vertices. How many sides does its base have?
- A prism has 24 edges. How many vertical faces does it have?
- A shape has one curved face, one circular face and one vertex. Name it.
- A solid has no edge, no vertex and one curved surface. Name it.
- A prism has 2 hexagonal faces. How many rectangular faces will it have?
✅ Solutions
Section A Answers
- C) 8
- B) Square pyramid
- A) Cone
- C) 7
- C) Ball
- B) 6
- B) Cone
- C) Triangles
Section B Answers
- Square
- Square
- Cone
- Hexagon
- Heptagonal
- Square
Section C Answers
- A
- D
- A
- D
Section D Answers
| Description | Shape Name | Vertices | Edges |
|---|---|---|---|
| Prism with triangular base | Triangular Prism | 6 | 9 |
| Pyramid with square base | Square Pyramid | 5 | 8 |
| Prism with pentagonal base | Pentagonal Prism | 10 | 15 |
| Pyramid with triangular base | Triangular Pyramid | 4 | 6 |
Section E Answers
- A circle is not called a polygon because it has no straight sides.
- A prism has two equal bases, one at the top and one at the bottom.
- A cone has only one vertex because its curved face meets at one pointed top.
- A square pyramid is not a prism because it has only one base and triangular side faces.
- A net helps us understand how a flat pattern can be folded to form a 3D shape.
Section F Answers
- Square prism / Cube
- Square
- 8 vertices
- 12 edges
- Prism
Section G Answers
- 10 sides
- 8 vertical faces
- Cone
- Sphere
- 6 rectangular faces
✅ Verified: Practice Set 4 uses new questions and avoids repetition from Practice Sets 1, 2 and 3.
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