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VISUALISING SOLID FIGURES

In this article, we will discuss visualizing solid figures and their properties.

As we glance around, we see that everything has a shape. Everything has a distinct shape, from a computer to a book. There are two types of shapes: two-dimensional and three-dimensional. A two-dimensional shape (also known as a 2-D shape) is one that has a length and width, and a three-dimensional shape is one that has a length, width, and height which is also known as 3-D shapes.

A solid shape is a three-dimensional object with three dimensions: length, breadth, and height (depth). 

What are 2-D figures :-

2-D forms are geometric figures made out of straight or curved lines on a flat surface. They just have length and width to work with (breadth). There is no depth to 2-D shapes. 2-D forms include circles, triangles, squares, and rectangles, to name a few. Polygons are three or more straight lines joined together to form a shape. Circles, ovals, triangles, squares, diamonds, rhombuses, parallelograms, and rectangles are some of the most common 2-D shapes.

Some of the 2-D shapes are given below :-

 What are 3-D figures :- 

A solid or three-dimensional shape has a length, width, and height. A solid shape takes up space and is supported by one or more surfaces. Solid shapes include cubes, cones, spheres, and cuboids. Many real-life objects, such as a book, a laptop, a ball, and a birthday cone, have solid shapes. Cuboid, sphere, cone, cylinder, pyramid, and cube are examples of 3-D shapes.

Some of the 3-D figures are given below :-

Here are the some of the components of the solid figures that are discussed below :-

A specific number of faces, vertices, and edges define all solid forms. Let’s see all the components one by one –

Faces :-

A face is the name given to every single surface of a solid form. A cube and a cuboid , for example, has six faces. 

Vertices :-

A ‘Vertex’ in a solid shape is a location where two or more lines intersect. The plural form of the word ‘Vertex’ is vertices. A sphere is a unique shape that is devoid of a vertex.

Edges :-

An ‘Edge’ in a solid shape is a line segment that connects two vertices or two corners.

Shapes

No. of faces

No. of Vertices

No. of edges

Cube

6

8

12

Cuboid

6

8

12

Prism(triangular)

5

6

9

Pyramid (square base)

5

5

8

Triangular pyramid

4

4

6

Cylinder

3

0

2

Cone

2

1

2

Sphere

1

0

0

Views of solid shapes :-

A top view, a side view, and a front view are all available for solid shapes. Let’s have a look at each one by one .

Top View: A solid shape’s top view is the shape of the item as seen from above.

Side view : Shape of an object as observed from one of its sides is called the side view of a solid shape.

Front view : The front view of an object is the shape of the object as seen from the front side.

How to visualise a solid figures :

A solid shape can be represented in a variety of ways.

Visualising the solid figures by cutting it :-

Imagine cutting a solid horizontally or vertically oriented form. It definitely resembles a two-dimensional shape (like a square or rectangle). This is referred to as a ‘cross-section.’ The shape we get is determined on the solid shape being cut. Consider the illustration below, which shows a cylinder being cut horizontally and vertically. A rectangle is resembled by the horizontal cross section, while a circle is resembled by the vertical cross section.

Visualising the figure by its shadow :-

Assume that a light source falls on a solid shape, such as a cone. The solid shape’s shadow creates a two-dimensional shape. When a light source falls on the thinner end of a cone, the shadow takes on a 2-D shape, which is a circle .

Visualising the solid figures by Assuming small :-

Taking a Rubik’s cube which is a real life example of solid shape which has 27 small cubes in it. Each cube is 1 unit. 

By Assuming that a small pieces we can visualise the figure in a good manner.

CONCLUSION :- 

Three-dimensional shapes or solids, or solid shapes, are the names given to 3D shapes in geometry. 3D shapes, often known as solid shapes, have three different dimensions: length, width, and height. A 3D object can appear differently depending on the angle from which it is viewed, therefore it can be drawn from many viewpoints.

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Get answers to the most common queries related to the JEE Examination Preparation.

How can solid figures be visualised ?

Answer :- The following are some techniques by which a solid shapes can be visualised: ...Read full

Can we draw solid shapes on a flat surface ?

Answer :- Yes, utilising the oblique sketching technique or the isometric sketching approach, solid shapes can be sk...Read full

Can a 2- dimensional figure have faces , edges and vertices ?

Answer :- No, two-dimensional shapes only have vertices. For example A triangle has three vertices, while a square h...Read full

What is the face , vertex and edges of a solid figure ?

Answer :- A face is the flat surface of a solid shape. An edge is a line segment that connects two faces of a solid ...Read full

What can we define as solid shapes ?

Answer :- Solid shapes are three-dimensional shapes with a length, breadth, and height. Solid shapes include cubes, ...Read full