CBSE Class 4 Mathematics NCERT Solutions: The Way The World Looks
This chapter, 'The Way The World Looks,' for CBSE Class 4 Mathematics, introduces students to the concept of different perspectives and views of objects. Through engaging questions and solutions, students will explore how objects appear differently when viewed from the top, bottom, or side. The exercises cover drawing various views of common objects like fans and classrooms, understanding why objects appear smaller from a distance, and identifying different views of the same object, such as bowls and yoga poses. These NCERT Solutions provide step-by-step explanations to help students visualize and understand spatial relationships, which is crucial for developing their observational and reasoning skills. They serve as an excellent resource for exam preparation, reinforcing key concepts and ensuring a clear grasp of how the world looks from different viewpoints.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Unit-5 The Way The World Looks |
Chapter summary
NCERT Solutions for Class 4 Maths, Chapter 5, 'The Way The World Looks,' focuses on understanding and drawing different views of objects. Students learn to differentiate between top, bottom, and side views through practical examples like fans, classrooms, and bowls. The chapter also touches upon how distance affects the perceived size of objects. These solutions offer clear explanations and visual aids to help young learners grasp the concepts of perspective and spatial reasoning.
Learning outcomes
- Understand that objects can look different from different viewpoints.
- Draw the top view of simple objects like a classroom.
- Identify the bottom view of an object like a fan.
- Explain why objects appear smaller when viewed from a distance.
- Match different views (top, side) of the same object.
- Recognize objects shown from different perspectives.
Topics covered
Paper topics
- Different Views of Objects
- Top View
- Bottom View
- Side View
- Perspective Drawing
- Effect of Distance on Size
- Spatial Reasoning
- Visualizing Objects
Important topics
- Understanding and drawing different views (top, bottom, side)
- Effect of distance on object size
- Visualizing objects from various perspectives
- Matching different views of the same object
PDF preview
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Questions and Solutions
Question 1
When you look at a ceiling fan from below, you see the blades and the central motor housing. The shape you see is essentially the underside of the fan. Imagine looking straight up at the fan; you would see the flat surfaces of the blades extending outwards from the center.
The drawing would show the blades spreading out from a central point, with the motor housing in the middle. This is known as the bottom view of the fan.
A ceiling fan, when viewed from below, typically looks like the provided illustration, showing its blades and central structure.
Question 2
Gappu, who was hanging from a balloon stuck to the ceiling, had a vantage point directly above the jug. This allowed him to have a clear line of sight to the cheese placed on top of the jug. His position gave him a top-down view. Chinky, on the other hand, was running on the floor. From her low position, the jug itself would obstruct her view of the cheese, especially if the cheese was placed right on the rim or surface of the jug. She could not see it because her eye level was much lower than the cheese, and the jug was in the way.
Question 3
Objects appear smaller when they are viewed from a greater distance. When you are inside your house running around, you are very close to the walls and furniture, so everything looks its actual size or even large. However, when you are viewing the house from a high place, like from an airplane or a tall building, the house is much farther away from you. Because of this increased distance, the house appears significantly smaller in your field of vision.
Question 4
To imagine how your classroom looks from above, picture yourself floating high up near the ceiling and looking straight down. You would see the layout of the room as a flat shape. The benches would appear as rectangles arranged in rows. The blackboard would be a large rectangle at the front wall. Doors and windows would also be visible as shapes on the floor plan, depending on their size and position. This view from directly above is called the top view.
Here is a representation of a classroom's top view:
In this top view, you can see the arrangement of the benches, the position of the blackboard, and the locations of the doors and windows as they would appear from directly overhead.
Question 5
The reason things look wide and big at one end and narrow and small at the other end is due to perspective. The end that appears wide and big is the one that is closer to your eyes. The end that looks narrow and small is farther away from you. This effect is commonly seen in drawings or when looking at objects like roads, railway tracks, or pipes that extend into the distance. The part nearest to you occupies more of your vision, while the part receding into the distance appears to converge towards a point, making it look smaller.
Question 6
To correctly match the yoga pose, you need to compare the different views (likely top and side views) and see which pair represents the same posture. The key is to observe the position of the limbs and the body. For instance, if one view shows legs extended forward and arms raised, the other view must also depict these features from a different angle. By carefully examining the orientation and relative positions of body parts in each photo, you can identify the correct match.
(Note: The actual images are needed to definitively mark the correct match. Assuming a correct match is identified based on visual comparison.)
The correct match is identified by ensuring that the body's posture, limb positions, and overall shape are consistent across the two different views.
Question 7
To determine which photo shows the bowls upside down, observe the orientation of the opening of the bowls. A bowl that is right-side up will have its opening facing upwards, and its base will be at the bottom. A bowl that is upside down will have its opening facing downwards, and its base will be at the top. By looking at the provided images, you can see that in Photo 2, the bowls are positioned with their openings facing downwards, indicating they are upside down.
In Photo 2, the bowls are upside down because their open ends are directed downwards.
Question 8
To match the side view with the top view of a pipe and a funnel, consider their shapes from different angles. A pipe, when viewed from the side, looks like a long rectangle (or a cylinder if drawn in 3D). When viewed from the top, it also appears as a circle or a rectangle depending on the thickness. A funnel has a wide opening at the top and narrows down to a tube at the bottom. Its side view shows a cone shape leading to a narrow tube. Its top view shows a large circle (the opening) with a smaller circle or point in the center where the tube begins.
Matching:
- Pipe: The side view (a long rectangle/cylinder) should be matched with its top view (a circle or rectangle).
- Funnel: The side view (cone shape with a tube) should be matched with its top view (large circle with a central smaller circle/point).
By drawing lines connecting the corresponding side and top views, you can correctly identify each object's different perspectives.
Common mistakes
- Confusing top view with side view or bottom view.
- Difficulty in visualizing and drawing objects from different perspectives.
- Not understanding how distance affects the apparent size of an object.
- Incorrectly identifying upside-down objects based on their views.
Revision tips
- Practice drawing the top, bottom, and side views of everyday objects around you.
- Use physical objects to physically change your viewing angle and observe the differences.
- Pay close attention to the details in the provided diagrams for each view.
- Discuss with friends or teachers any confusion about how objects appear from different angles.
Practice MCQs
Q1. What view of the fan is typically shown when looking up at a ceiling fan?
Explanation: When looking up at a ceiling fan, you are seeing it from below, which is its bottom view.
Q2. Why does a house look smaller when seen from a high place like an airplane?
Explanation: Objects appear smaller when they are farther away from the observer. From a high altitude, the house is much farther away.
Q3. In the top view of a classroom, what might be represented by a rectangle?
Explanation: Depending on the drawing and the specific object, doors, windows, and benches can all be represented by rectangular shapes in a top-down view.
Q4. Which end of a pipe looks narrow and small in a perspective drawing?
Explanation: In perspective drawings, objects appear narrower and smaller at the end that is farther away from the observer.
Q5. If a bowl is shown upside down in a photo, what would be different about its appearance compared to its normal view?
Explanation: When a bowl is upside down, its opening, which is normally facing upwards, is now facing downwards.
Frequently asked questions
What is the main concept taught in the Class 4 Maths chapter 'The Way The World Looks'?
This chapter teaches students how objects appear differently when viewed from various angles, such as from the top, bottom, or side, and how distance affects their apparent size.
Why are different views of objects important to learn in Class 4?
Learning about different views helps develop spatial reasoning, observational skills, and the ability to visualize objects in three dimensions, which are foundational for geometry and problem-solving.
How do these NCERT Solutions help students understand the concept of 'The Way The World Looks'?
The solutions provide clear, step-by-step explanations and rewritten answers for each question, making it easier for students to grasp how to draw and identify different views of objects and understand perspective.
What kind of objects are used as examples in this chapter?
The chapter uses everyday objects like ceiling fans, classrooms, jugs, houses, bowls, and pipes as examples to illustrate the concepts of different views.
How does the chapter explain why things look smaller from far away?
The chapter explains that objects appear smaller when they are farther from the observer, using examples like seeing a house from a height or an airplane.
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