Visualising Solid Shapes By Vedantu
FAQs on RD Sharma Class 7 Solutions Chapter 19 - Visualising Solid Shapes (Ex 19.1) Exercise 19.1 - Free PDF
1. What is called Visualising solid shapes?
The number of faces, edges, and vertices in three-dimensional figures varies. Faces are flat surfaces in the figure, while the shapes are two-dimensional. It is called the edge of the shape when the faces of three-dimensional shapes meet at that point. A vertex, or point where the edges of the figure meet, is a corner or a point where the edges of the figure meet if there is one such point.
2. What do you mean by Nets for 3-D shapes?
Three-Dimensional Nets: Shapes that can be folded to form a solid or a three-dimensional shape are called geometry nets. A net can be defined as a pattern produced by laying out each face of a three-dimensional shape. Various nets are possible for solids. Essentially, a net is a 3D figure that has been unfolded.
3. The Euler Formula
In each polyhedron, there are specific numbers of faces, edges, and vertices (depending on its type). Regardless of the type of polyhedron,
The number of vertices, the number of faces, and the number of edges are determined by (V = vertex, F = face, and E = edge).
4. The Pyramid and the Prism
The polyhedron family has two prominent members: prisms and pyramids. A prism is a polyhedron with congruent polygons defining the base and top and parallelograms defining the sides.
A pyramid, on the other hand, is made up of triangles with a common vertex at the base, with the lateral faces being polygons. A pyramid model is obtained by connecting the corners of all polygons to a point that isn't in the plane of the polygon.
The name of the pyramid comes from its base. Hexagonal prisms have hexagonal bases, while triangular pyramids have triangle bases.
5. Visualising Solid Shapes not only helps in geometry but also in day to day activities
When studying geography, you are often asked to locate a particular place on a map, such as a state, a river, a mountain, etc. It is not unusual for History courses to ask you to find a specific place where some event occurred long ago. Your journey has included tracing the routes of rivers, roads, railways, and traders. In contrast to a map, a picture attempts to depict reality as seen with all its details, while a map simply shows an object's location. As well, different people can describe the same house quite differently depending on where they stand when looking at the picture. However, maps may not be as subjective as pictures. Any observer can see where a house is, regardless of where they are standing. For example, drawing a picture relies heavily on perspective, but mapping does not.