Join now for JEE/NEET and also prepare for Boards Learn Science & Maths Concepts for JEE, NEET, CBSE @ Rs. 99! Register Now
Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
Plane figures with only two measurements –length and width are called 2-D shapes.
Solid figures with three measurements –length, width and height are called 3D shapes.
As the 3-D shapes are solid in nature so they may have a different view from different sides.
When we draw the top view, front view and side view on paper then it will look like this.
Example
Draw the front view, side view and the top view of the given figure.
Solution
A map shows the location of a particular thing with respect to others.
Some important points related to map:
To represent different objects or place different symbols are used.
A map represents everything proportional to their actual size not on the basis of perspective. It means that the size of the object will remain the same irrespective of the observer’s viewpoint.
A particular scale is used to draw a map so that the lengths drawn are proportional with respect to the size of the original figures.
This is the map which shows the different routes from Nehru road.
Faces – All the flat surfaces of the three 3-D shapes are the faces. Solid shapes are made up of these plane figures called faces.
Edges – The line segments which make the structure of the solid shapes are called edges. The two faces meet at the edges of the 3D shapes.
Vertex – The corner of the solid shapes is called vertex. The two edges meet at the vertex. The plural of the vertex is vertices.
Polygons are the flat surface made up of line segments. The 3-D shapes made up of polygons are called polyhedron.
These solid shapes have faces, edges and vertices.
The polygons are the faces of the solid shape.
Three or more edges meet at a point to form a vertex.
The plural of word polyhedron is polyhedral.
The solid shape who’s all the faces are not polygon are called non-polyhedron. i.e. it has one of the curved faces.
If the line segment formed by joining any two vertices of the polyhedron lies inside the figure then it is said to be a convex polyhedron.
If anyone or more line segments formed by joining any two vertices of the polyhedron lie outside the figure then it is said to be a non-convex polyhedron.
If all the faces of a polyhedron are regular polygons and its same number of faces meets at each vertex then it is called regular polyhedron.
The polyhedron which is not regular is called non-regular polyhedron. Its vertices are not made by the same number of faces.
In this figure, 4 faces meet at the top point and 3 faces meet at all the bottom points.
If the top and bottom of a polyhedron are a congruent polygon and its lateral faces are parallelogram in shape, then it is said to be a prism.
If the base of a polyhedron is the polygon and its lateral faces are triangular in shape with a common vertex, then it is said to be a pyramid.
Number of faces, vertices and edges of some polyhedrons
Euler’s formula shows the relationship between edges, faces and vertices of a polyhedron.
Every polyhedron will satisfy the criterion F + V – E = 2,
Where F is the number of faces of the polyhedron, V is the vertices of the polyhedron and E is the number of edges of the polyhedron.
Using Euler's formula, find the number of faces if the number of vertices is 6 and the number of edges is 12.
Given, V = 6 and E = 12.
We know Euler’s formula, F + V – E = 2
So, F + 6 – 12 = 2.
Hence, F = 8.
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Revision Notes on Factorisation Factors of Natural...
Rational numbers (Class 8th) - Revision Notes...
Revision Notes on Understanding Quadrilaterals...
Revision Notes on Squares and Square Roots Square...
Revision Notes on Direct and Inverse Proportions...
Revision Notes on Linear Equations in One Variable...
Revision Notes on Mensuration Mensuration It is...
Revision Notes on Introduction to Graphs Graph The...
Revision Notes on Playing with Numbers Numbers in...
Revision Notes on Practical Geometry Constructing...
Revision Notes on Comparing Quantities Ratios It...
Revision Notes on Cubes and Cube Roots...
Revision Notes on Data Handling Introduction to...
Revision Notes on Algebraic Expressions and...
Revision Notes on Exponents and Powers...