**Solutions for Class 7 Maths Chapter 15 Visualizing Solid Shapes**

Students may download NCERT Solutions for Class 7 Maths Chapter 15 PDF from INFINITY learn’s official website. The fundamentals of drawing 3-D figures are explained in Chapter 15 of Visualising Solid Shapes for Class 7 according to the NCERT syllabus. It also explains how to recognize and count vertices, edges, and faces. This is the fundamental principle of solid shape visualization and how we might apply it in our daily lives. On INFINITY learn.com, you may register for NCERT Solutions Class 7 Science tuition to improve your chances of passing the CBSE board test. To prepare for their upcoming exams, students can also obtain NCERT Solution PDF for all courses. We guarantee that we will provide you with the greatest possible advice and direction.

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15. Visualising Solid Shapes**

**NCERT Solutions for Class 7 Maths Chapter 15**

**Introduction**

In our environment, solid shapes or figures are fairly common. Laptops, mobile phones, computers, ice cream cones, tin cans, and a variety of other items all include solid shapes. The dimensions of these solid shapes are length, width, and height.

**Facts:**

- Plane figures are those that are drawn on paper, such as a circle, triangle, square, cube, rectangle, and so on.
- Spheres, cones, cylinders, cuboids, cubes, and other solid forms occupy space.
- Solid shapes are 3-dimensional, while planar figures are 2-dimensional.
- A solid’s vertices are its corners, its edges are the line segments connecting its vertices, and its surfaces are its faces.
- Oblique sketches or isometric sketches can be used to represent 3-D solids in 2-D.
- A net is the skeleton outline of a two-dimensional solid that, when folded, forms a three-dimensional shape. A solid can have several nets.
- Slicing a solid or looking at its 2-D shadow allows you to see different pieces of it. It’s also possible to look at it from the front, top, or side.

**Properties of Two-Dimensional Shapes :**

- A two-dimensional solid has length and breadth dimensions.
- A 2-D solid’s shape is always determined by two coordinates.

**Properties of Three-Dimensional Shapes :**

- The dimensions of a three-dimensional shape are length, width, and height.
- It has a lot of depth.
- Three-dimensional solids are everything we see and touch in our world.
- A surface separates the inner and outside of a 3-D solid.
- Faces, vertices, edges, and volume are all features of 3-D solids. This feature aids in distinguishing between 2-D and 3-D solids.
- Pyramids, cones, spheres, cylinders, prisms, and other geometric shapes are examples.

**Faces, edges, and vertices **

- A solid’s flat surface is referred to as its face.
- An edge is a line that connects two of a solid’s corners.
- A solid’s vertices are its corners.

For example, A cube has eight vertices, twelve edges, and six faces.

If F, E, and V are the number of faces, edges, and vertices of a cube,

then F – E + V = 2 is the formula.

**Solid Form**

There are two ways to draw a solid.

- On squared paper, an oblique drawing is produced that does not disclose exact measurement but conveys all significant characteristics of the solid’s look.
- An isometric sketch is a three-dimensional drawing with proportionate measurements of a solid.

**A Few More Solid Shapes are Described:**

**Triangular Prism:**A kaleidoscope is similar to a triangular prism. Its bases are triangular. A triangular prism has five faces, nine edges, and six vertices.**Triangular Pyramid:**A triangular pyramid is also called a tetrahedron. Its base is triangular. A triangular pyramid has four faces, six edges, and four vertices.**Square pyramid:**A square pyramid is distinguished by its square base. There are five faces, eight edges, and five vertices on this object.**Sphere:**A sphere has no flat face. It just has a spherical appearance. There is only one face, no edges, and no vertices on a sphere.

**FAQ:**

**What are the benefits of NCERT Solutions for Class 7 Maths Chapter 15 for board exams?**

For self-evaluation, NCERT Solutions for Class 7 Maths Chapter 15 provides answers with thorough descriptions as per the period limit specified by the Board. Students will gain valuable experience solving these problems, allowing them to complete the assignment on time. As a result, it’s evident that NCERT Solutions for Class 7 Maths Chapter 15 are critical for high exam scores. Students will become more comfortable with writing tests and will be better prepared to take them.

**Mention the subjects covered in Chapter 15 of NCERT Solutions for Class 7 Maths.**

NCERT Solutions for Class 7 Maths Chapter 15 covers the following topics:

- Introduction to Plane Figures and Solid Figures
- Vertices, edges, and faces
- Building 3-D Shapes using Nets
- Solid Drawing on a Flat Surface
- Sketches that are a little off-kilter
- Isometric Drawings
- Visualizing Solid Objects
- Examining Various Sections of a Solid
- Cutting or slicing an object is one method to look at it.
- Another option is to use shadow play.

Students will be able to tackle complex issues with ease if they memorize these NCERT solutions thoroughly.

**Is it compulsory to complete all of the exercises in NCERT Solutions for Class 7 Maths Chapter 15?**

Yes, all of the exercises in Chapter 15 of NCERT Solutions for Class 7 Maths must be completed. This is due to the fact that each practice has a number of questions to be answered, some of which may appear in the final exam. This boosts their confidence in the subject matter they’re studying.