Visualising Solid Shapes Questions and Answers - Free PDF Download
FAQs on NCERT Solutions For Class 7 Maths Chapter 13 Visualising Solid Shapes Exercise 13.4 - 2025-26
1. Where can I find accurate, step-by-step NCERT Solutions for Class 7 Maths Chapter 13, Visualising Solid Shapes?
You can find comprehensive and reliable NCERT Solutions for Class 7 Maths Chapter 13, Visualising Solid Shapes, right here on Vedantu. These solutions are prepared by subject matter experts and are aligned with the latest CBSE 2025-26 syllabus. They provide detailed, step-by-step methods for solving every question in the NCERT textbook, including all exercises.
2. How do the NCERT Solutions explain solving questions from Exercise 13.1 about identifying nets for different 3D shapes?
The NCERT Solutions for Exercise 13.1 guide you on how to solve problems involving nets by:
- Providing a clear method to visualise folding the 2D net.
- Showing which edges will join to form the 3D shape, such as a cube, cuboid, or pyramid.
- Explaining why certain nets will work while others will fail (e.g., by having overlapping faces or gaps).
- Using simple diagrams to illustrate the correct formation of the solid shape from its net.
3. What is the correct method to draw a cuboid using an isometric sketch as per the NCERT Class 7 Maths solutions?
As per the NCERT solutions, the correct method for drawing a cuboid on an isometric dot sheet involves these steps:
- Draw a parallelogram for the front face, keeping the dimensions proportional.
- From each of the four vertices, draw parallel lines backwards. The length of these lines will represent the depth of the cuboid.
- Connect the endpoints of these lines to form the back face, which should be another parallelogram identical to the front one.
- This method ensures all dimensions are kept in proportion, giving a realistic 3D representation.
4. How can I use Euler's formula to solve problems in Chapter 13, and how is it explained in the NCERT solutions?
The NCERT solutions explain Euler's formula, F + V - E = 2 (where F is faces, V is vertices, and E is edges), as a verification tool for polyhedrons. The solutions demonstrate its application by:
- First, guiding you to correctly count the faces, vertices, and edges of a given solid shape.
- Then, substituting these values into the formula.
- If the equation holds true (results in 2), it confirms the shape is a valid polyhedron and your counting is correct. This method is used to solve verification problems in the exercises.
5. What type of problems from Exercise 13.3, involving different views of solid shapes, are solved in the NCERT solutions?
In the NCERT Solutions for Exercise 13.3, you will find step-by-step answers for problems that require you to identify the top, front, and side views of various solid objects. The solutions clearly illustrate how to:
- Draw the 2D representation for each specific view (top, front, side).
- Match given 2D views to the correct 3D solid.
- Understand how the perception of a shape changes based on the viewing angle.
6. Why is an isometric sketch considered a more accurate representation of a 3D object than an oblique sketch in the NCERT textbook?
An isometric sketch is considered more accurate because it maintains the proportional measurements of the actual solid object. In contrast, an oblique sketch is easier to draw but often distorts the object's depth and angles, making the back faces look unrealistic. The NCERT solutions for Chapter 13 emphasise isometric sketches for providing a more realistic and dimensionally correct view of solid shapes.
7. The NCERT solutions show a cube can have multiple nets. How can I logically determine if any given 2D net will correctly fold into a cube?
To determine if a net forms a cube, you must ensure two key conditions are met, a logic often applied in the NCERT solutions. First, the net must consist of exactly six squares. Second, when you mentally fold the net, no two squares should overlap, and there should be no gaps. A common method is to fix one square as the base and visualise folding the other five squares to see if they form the top and the four side faces without conflict.
8. When solving problems about cross-sections, how do the solutions help in visualising the new face created by a vertical or horizontal cut?
The NCERT solutions for Chapter 13 help in visualising cross-sections by explaining the resulting 2D shape logically. For instance, they clarify that a horizontal cut through a cylinder results in a circular cross-section, while a vertical cut produces a rectangular one. The solutions often use simple analogies, like slicing a piece of fruit, to help you understand that the shape of the cut surface (the cross-section) depends entirely on the angle of the slice relative to the solid's orientation.
9. What are common mistakes students make when counting faces, vertices, and edges, and how do the NCERT solutions help avoid them?
A common mistake is double-counting edges or missing hidden faces and vertices in a 2D drawing of a 3D shape. The NCERT solutions help prevent this by encouraging a systematic approach. They guide you to first count the faces, then the vertices (corners where edges meet), and finally the edges connecting the vertices. By following this structured method and using Euler's formula for verification, you can confidently arrive at the correct counts for any polyhedron.

















