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NCERT Solutions for Class 8 Maths - Visualising Solid Shapes- 2
Exercise 15.3
Question 1:
What cross-sections do you get when you give a:
(i) vertical cut (ii) horizontal cut to the following solids?
(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice-cream cone.
Answer 1:
| S.No. | Name of article | Figure | Vertical cut | Horizontal cut |
| (a) | A brick |  |  |  |
| (b) | A round apple |  |  |  |
| (c) | A die |  |  |  |
| (d) | A circular pipe |  |  |  |
| (e) | An ice-cream cone |  |  |  |
Exercise 15.4
Question 1:
A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow.
(You may try to experiment first and then answer these questions).
Answer 1:
| S.No. | Object | Shadow | Shape's name |
| (i) | A ball |  | Circle |
| (ii) | A cylindrical pipe |  | Line |
| (iii) | A book |  | Rectangle |
Question 2:
Here are the shadows of some 3-D objects, when seen under the lamp of the overhead projector. Identify the solid (s) that match each shadow.
(There may be multiple answers for these!)
Answer 2:
| S. No. | Shadow | Shape's Name | 3-D objects |
| (i) |  | Circle | Chapatti, Football, Disc, Plate etc. |
| (ii) |  | Square | Die, Square paper sheet, cubical magic box, Chalk box etc. |
| (iii) |  | Triangle | Ice-cream cone, Birthday cap, etc. |
| (iv) |  | Rectangle | Geometry box, Book, Table etc. |
Question 3:
Examine if the following are true statements:
(i) The cube can cast a shadow in the shape of a rectangle.
(ii) The cube can cast a shadow in the shape of a hexagon.
Answer 3:
(i) True
(ii) False
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FAQs on NCERT Solutions for Class 8 Maths - Visualising Solid Shapes- 2
| 1. What are solid shapes? |  |
Ans. Solid shapes are three-dimensional objects that have length, width, and height. They occupy space and have a definite shape. Examples of solid shapes include cubes, spheres, cylinders, and pyramids.
| 2. How do you visualize solid shapes? | |
Ans. To visualize solid shapes, you can use various methods. One common method is to create 3D models using materials like clay or building blocks. Another method is to draw 2D representations of the solid shapes on paper, showing different views such as front, side, and top. You can also use computer software or virtual reality tools to visualize and manipulate solid shapes.
| 3. What is the importance of visualizing solid shapes? | |
Ans. Visualizing solid shapes is important as it helps in understanding their properties, relationships, and spatial concepts. It enables us to analyze and solve problems related to measurements, surface areas, volumes, and transformations of solid shapes. Visualization also enhances spatial awareness, which is crucial in various fields like architecture, engineering, and design.
| 4. How can I improve my ability to visualize solid shapes? | |
Ans. There are several ways to improve your ability to visualize solid shapes. Practice drawing 2D representations of different solid shapes from different angles. Try mentally rotating and manipulating the shapes in your mind. Use physical models or virtual tools to explore and interact with solid shapes. Engage in activities like puzzles or spatial reasoning games that require visualizing and manipulating solid shapes.
| 5. What are some real-life examples of solid shapes? | |
Ans. Solid shapes are commonly found in our surroundings. Some real-life examples of solid shapes include a soccer ball (which is a sphere), a dice (which is a cube), a soda can (which is a cylinder), a pyramid-shaped roof, and a cone-shaped ice cream cone. These examples help us understand the applications and relevance of solid shapes in everyday life.
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