# ppt on visualising solid shapes

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Category: Education

## Presentation Description

we made this for our class project.

## Presentation Transcript

WELCOME

### THIS PRESENTATION IS MADE BY KAJAL RIMMY PARAMPREET :

THIS PRESENTATION IS MADE BY KAJAL RIMMY PARAMPREET

### :

VISUALISING SOLID SHAPES

### INTRODUCTION:

INTRODUCTION Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length ,breadth and height or depth . Hence they are called three dimensional shapes. Two-dimensional and three-dimensional figure can also be named as 2-d and 3-d. Triangle ,rectangle etc….are 2-d figures. Cube ,cylinder etc are 3-d figures.

### 2 DIMENSIONAL FIGURES :

2 DIMENSIONAL FIGURES PLANE FIGURES Plane figure have 2 dimension like length and breadth or radius . These figures are called 2 dimensional figures or 2-D. EXAMPLE Rectangle ,circle , square and triangle

### SOME EXAMPLES OF PLANE FIGURES:

SOME EXAMPLES OF PLANE FIGURES CIRCLE RECTANGLE TRIANGLE SQUARE z

### 3 DIMENSIONAL FIGURES:

3 DIMENSIONAL FIGURES SOLID OBJECTS A solid object having 3 dimensions like length , breadth , height [depth or thickness] is called 3 dimensional object or 3 – d figure. Example Cube , cuboids , cylinder and cone

### SOME EXAMPLES OF SOLID OBJECTS:

SOME EXAMPLES OF SOLID OBJECTS

### WHAT IS CUBE ?:

WHAT IS CUBE ? A cuboid whose length , breadth and height are equal is called a cube. example Sugar cube and dice are example of cube.

### SOME EXAMPLES OF CUBE:

SOME EXAMPLES OF CUBE

### WHAT IS CUBOID ?:

WHAT IS CUBOID ? A cuboid has length , breadth and height and its opposite faces are identical . EXAMPLE A wooden box and a matchbox are some example.

### SOME EXAMPLES OF CUBOID:

SOME EXAMPLES OF CUBOID

### WHAT IS SPHERE ?:

WHAT IS SPHERE ? A sphere has a curved surface . It Has no vertex and no edge. An object which is in the shape of a ball is said to have a shape of a sphere.

### SOME EXAMPLES OF SPHERE:

SOME EXAMPLES OF SPHERE

### WHAT IS CONE ?:

WHAT IS CONE ? A cone has a plane circular end as the base and a curved surface tapering into a point , called its vertex . Thus , a cone has one plane face and one curved face . It has one circular edge and one vertex. EXAMPLE An ice-cream cone and clown’s cap.

### SOME EXAMPLES OF CONE:

SOME EXAMPLES OF CONE

### WHAT IS CYLINDER?:

WHAT IS CYLINDER? A cylinder has a curved lateral surface and two circular faces at its end. It has no corner or vertex. A cylinder has two plane faces , namely the top and the base , and one curved face . It has two circular edges. EXAMPLE A circular pipe and gas cylinder.

### SOME EXAMPLES OF CYLINDER:

SOME EXAMPLES OF CYLINDER

### VIEWS OF 3 - D SHAPES:

VIEWS OF 3 - D SHAPES 3-Dimensional objects can look differently from different positions so they can be drawn from different perspectives.

### DIFFERENT VIEWS OF OBJECTS A PYRAMID FRONT VIEW TOP VIEW SIDE VIEW :

DIFFERENT VIEWS OF OBJECTS A PYRAMID FRONT VIEW TOP VIEW SIDE VIEW

### WE CAN ALSO GET DIFFERENT VIEWS OF FIGURES MADE BY JOINING CUBES. 1. FRONT VIEW TOP VIEW SIDE VIEW :

WE CAN ALSO GET DIFFERENT VIEWS OF FIGURES MADE BY JOINING CUBES. 1. FRONT VIEW TOP VIEW SIDE VIEW

### 2. TOP VIEW FRONT VIEW SIDE VIEW :

2. TOP VIEW FRONT VIEW SIDE VIEW

### FACES , EDGES AND VERTICES:

FACES , EDGES AND VERTICES Faces Each of solid is made up of polygonal regions which are called its faces . Edges When any two faces of the solid meet together we get a line segment called an edge.

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Vertex When three or more faces meet at one point , that point is called a vertex. FRONT VIEW

### FACES , EDGES AND VERTICES OF CUBE:

FACES , EDGES AND VERTICES OF CUBE A cube has 8 vertices , 12 edges and 6 faces.

### FACES , EDGES AND VERTICES OF CUBOID:

A cuboids has 6 faces , 8 vertices and 12 edges FACES , EDGES AND VERTICES OF CUBOID

### FACES , EDGES AND VERTICES OF RECTANGULAR PYRAMID :

FACES , EDGES AND VERTICES OF RECTANGULAR PYRAMID A Rectangular pyramid has 5 faces , 8 edges and 5 vertices.

### FACES , EDGES AND VERTICES OF triangular pyramid :

FACES , EDGES AND VERTICES OF triangular pyramid A triangular pyramid has 4 faces , 6 edges and 4 vertices.

### NET FOR BUILDING 3-D SHAPES:

NET FOR BUILDING 3-D SHAPES A net is a sort of skeleton -outline in 2-D , which , one folded results in a 3-D shape. Here is a net of cube.

NETS OF CUBE

NETs OF CUBOID

### NET OF SQUARE BASED PYRAMID:

NET OF SQUARE BASED PYRAMID

### DIFFERENT TYPES OF NET :

DIFFERENT TYPES OF NET

### POLYGONS:

POLYGONS A simple closed curve made up of only line segments is called a polygon. EXAMPLES Triangle , square ,octagon ,hexagon , rectangle, pentagon , etc.

### DIFFERENT TYPES OF POLYGONS :

DIFFERENT TYPES OF POLYGONS SQUARE RECTANGLE TRIANGLE

### PENTAGON HEXAGON HEPTAGON:

PENTAGON HEXAGON HEPTAGON

### OCTAGON NONAGON DECAGON :

OCTAGON NONAGON DECAGON

### POLYHEDRONS:

POLYHEDRONS A polyhedron is a solid shape bounded by polygons EXAMPLE Cubes, cuboids, prisms, and pyramids are few examples of polyhedrons.

### NON – POLYHEDRONS :

NON – POLYHEDRONS Non-polyhedrons do not have polygon shaped faces. EXAMPLE Spheres, cones and cylinders are a few examples of non-polyhedrons.

### CONVEX AND NON-CONVEX POLYHEDRONS :

CONVEX AND NON-CONVEX POLYHEDRONS In a convex polyhedron, the line segment joining any two points on the surface of the polyhedron lies entirely inside or on the polyhedron. A polyhedron some of whose plane sections are concave polygons is known as a concave polyhedron.

### Concave polygons have at least one interior angle greater than 180° and has some of its sides bent inward. :

Concave polygons have at least one interior angle greater than 180° and has some of its sides bent inward.

### REGULAR AND IRREGULAR POLYHEDRONS:

REGULAR AND IRREGULAR POLYHEDRONS A polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet at each vertex.

### An irregular polyhedron is made of polygons whose sides and angles are not of equal measure. :

An irregular polyhedron is made of polygons whose sides and angles are not of equal measure.

### EULER’S FORMULA :

EULER’S FORMULA F+V-E =2 ,i.e. , F+V=E+2 is known as Euler’s formula and it holds true for any polyhedron. Here F stands for faces, V for vertices and E for the edges of the polyhedron.

### VERIFY EULER’S FORMULA FOR CUBE -::

VERIFY EULER’S FORMULA FOR CUBE -:

### SOL. FACES – 6 VERTICES -8 EDGES - 12 = F+V-E=2 LHS= 6+8-12=2 RHS=2 Therefore, LHS=RHS:

SOL. FACES – 6 VERTICES -8 EDGES - 12 = F+V-E=2 LHS= 6+8-12=2 RHS=2 Therefore, LHS=RHS

### EXERCISE:

EXERCISE Choose the correct answer- 1.A cuboid has Length only Length & breadth only Length , breadth & height Thickness only ANSWER – C)

ANSWER- B) 2. a gas pipe is an example of a) cube b) cylinder c) Cone d) Cuboid 