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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Mathematics » VISUALISING SOLID FIGURES

VISUALISING SOLID FIGURES

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

Table of Content
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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.

faq

Frequently asked questions

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

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

  • By slicing or cutting them vertically or horizontally.
  • By shining a light on a solid object.
  • Imagine the smallest unit from which a solid shape is constructed.

Answer :- Yes, utilising the oblique sketching technique or the isometric sketching approach, solid shapes can be sketched on flat surfaces.

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

Answer :- A face is the flat surface of a solid shape. An edge is a line segment that connects two faces of a solid form. A vertex is the point or corners where two edges meet.

Answer :- Solid shapes are three-dimensional shapes with a length, breadth, and height. Solid shapes include cubes, cones, spheres, and cuboids.

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