NCERT Solutions for Class 7 Maths Chapter 13 Visualising Solid Shapes and Class 7 Maths Chapter 13 Try These Solutions in Hindi and English Medium updated for session 2024-25. In NCERT Class 7 Maths Chapter 13 Visualising Solid Shapes students will encounter various terms and concepts related to three-dimensional geometry and solid shapes. According to new syllabus and new NCERT books for academic year 2024-25, there are four exercises in chapter 13 of class 7th mathematics. Three-dimensional objects that have length, width, and height. Examples include cubes, cuboids, cylinders, cones, and spheres.
7th Maths Chapter 13 Solutions in English Medium
Class: 7 | Mathematics |
Chapter 13: | Visualising Solid Shapes |
Number of Exercises: | 4 (Four) |
Content: | NCERT Textbook and Try These Solutions |
Mode: | Images, Text and Online Videos |
Academic Year: | Session 2024-25 |
Medium: | English and Hindi Medium |
Here are the main terms you should learn and understand:
Vertices: The points where the edges of a solid shape meet.
Edges: The line segments where two faces of a solid shape intersect.
Faces: The flat surfaces of a solid shape.
Base: The bottom face of certain solid shapes, like cubes, cuboids, and cones.
Lateral Surface: The curved surface of a cylinder or cone, excluding the base.
Apex: The pointed top of a cone.
Slant Height: The height of the lateral surface of a cone or pyramid.
NCERT Solutions for Class 7 Maths Chapter 13
Class 7 Maths Exercise 13.1, Exercise 13.2, Exercise 13.3 and Exercise 13.4 in English Medium or Prashnavali 13.1, Prashnavali 13.2, Prashnavali 13.3 and Prashnavali 13.4 in Hindi Medium to study online or download in PDF file format free. Class 7 Maths chapter 13 describes about net. Net is a two-dimensional representation of a solid shape that can be folded to form the three-dimensional shape. Download NCERT (https://ncert.nic.in/) Solutions Offline Apps based on updated NCERT Solutions following NCERT Books for session 2024-25.
Important Questions on Class 7 Maths Chapter 13
In how many ways, the cross-section of a solid can be viewed?
Different sections of a solid can be viewed in many ways:
(i) By cutting or slicing, the shape, which would result in the cross-section of the solid.
(ii) By observing a 2-D shadow of a 3-D shape.
(iii) By looking at the shape from different positions-the front-view, the side-view and the top-view.
How many types of sketches of a solid are possible?
Two types of sketches of a solid are possible: (i) An oblique sketch which does not have proportional measurements. (ii) An isometric sketch which is drawn on an isometric dot paper. In this sketch of the solid, the measurements are kept proportional.
What are the parts of a solid?
The corners of a solid shape are called its vertices, the line segments/curves which form its skeleton are its edges and its flat surfaces are its faces.
7 Maths Chapter 13 Solutions
Class 7 Maths Chapter 13 Visualizing Solid Shapes all exercises solutions including proper formulae are given below in updated format. Download NCERT Solutions apps for 2024-25 and Offline contents in PDF form for the new session 2024-25.
Terms to know
Diagonal: A line segment connecting two non-adjacent vertices of a solid shape.
Height/Altitude: The perpendicular distance between the base and the top vertex of a solid shape.
Axis: A line around which a solid shape can be rotated to generate a three-dimensional figure.
Regular Solid: A solid shape with all sides of equal length and all angles of equal measure.
Prism: A solid with two identical and parallel faces (bases) and rectangular or parallelogram-shaped lateral faces.
About NCERT Solutions for Class 7 Maths Chapter 13
In Class 7 Maths Chapter 13, the questions are based on basis of identification of parts of solid (dimensions) figures. We will learn the relations among Edges, Vertices and Faces of solid figures. We will draw the NETS (NETS are 2-D figures, which when folded results in 3-D figures0 for solid figure. Drawing solid figures on the flat surfaces using Oblique Sketches and Isometric Sketches.
1. Oblique Sketch: The sizes of the front faces and its opposite are same and The edges, which are all equal in a cube, appear so in the sketch, though the actual measures of edges are not taken so.
2. Isometric Sketch: An isometric sketch is drawn on an isometric dot paper, a sample of which is given at the end of this book. In an isometric sketch of the solid the measurements kept proportional.
Some other definitions
Cylinder: A solid with two parallel circular bases and a curved lateral surface.
Cone: A solid with a circular base and a curved lateral surface that converges to a single point (apex).
Sphere: A three-dimensional object with all points equidistant from the center point.
Cuboid: A solid with six rectangular faces and all right angles.
Cube: A special type of cuboid with all sides of equal length and all angles of 90 degrees.
Polyhedron: A solid with flat faces, straight edges, and vertices.
Important to Remember:
1. Solid shapes can be drawn on a flat surface (like paper) realistically. We call this 2-D representation of a 3-D solid.
2. Visualizing solid shapes is a very useful skill. You should be able to see ‘hidden’ parts of the solid shape using dots.
3. The corners of a solid shape are called its vertices, the line segments of its skeleton are its edges and its flat surfaces are its faces.
4. Isometric View: A drawing that shows a 3D object as it appears in real life, using dimensions that preserve the proportional relationships.
5. Orthographic View: A set of two-dimensional views (front, top, and side) that represent the three-dimensional object from different angles.
6. Elevation: The view of an object from one side.
7. Plan: The view of an object from the top.
8. Section: A cut or slice made through a solid shape to reveal its internal structure.
Feedback & Suggestions
NCERT Solutions for Class 7 Maths Chapter 13 in Hindi Medium is now available for the current academic session 2024-25 based on latest NCERT Books. Understanding these terms will help you navigate through the concepts of three-dimensional geometry and visualizing solid shapes. Practice drawing, identifying, and analyzing these shapes to reinforce your understanding. NCERT Solutions in Hindi are prepared just because of student’s demand. Please suggest us more to improve website for session 2024-25.