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Visualising solid shapes, ppt
VISUALISING SOLID
SHAPES
WHAT ARE SHAPES
A shape is the form of an object or its external
boundary, outline, or external surface, as opposed to
other properties such as color, texture, or material
composition.
Psychologists have theorized that humans mentally
break down images into simple geometric shapes
called geons.[1] Examples of geons include cones and
spheres.
Contents
1. 2D shapes
2. 3D shapes
3. Regular shapes
4. Irregular shapes
5. Map
2d SHAPES
2D shapes can be summarized by
calling them flatshapes.
Any shape that can be laid flat on a
piece of paper or any mathematical
plane is a 2D shape. As a child, your
first drawings probably used
basic shapes, such as squares,
triangles, and circles.
Examples of 2d shapes
POLYGON
QUADRILATERALS
CIRCLE
TRIANGLE
SQUARE
RECTANGLE
PENTAGON
HEXAGON
OCTAGON
MATCH THE FOLLOWING
1.QUADRILATERALS
2.CIRCLE
3.TRIANGLE
4.SQUARE
5.RECTANGLE
6.PENTAGON
7.HEXAGON
8.OCTAGON
These shapes are solid or
hollow.
• They have three
dimensions – length,
width and height.
Examples of 2d shapes
Cube
Cuboid
Sphere
Cone
Cylinder
Square Base Pyramid
Match the following
Cube
Cuboid
Sphere
Cone
Cylinder
Square Base Pyramid
Irregular shapes are two dimension structure which
lies in a plane. These shapes will not have all sides
equal and all angles equal. Irregular shape is denoted
as when all the sides of the shapes having different
length and the value of angles should not be same for
all the angles. For better understanding we should
know the difference between regular and irregular
shapes. Regular shapes have equal angles and equal
sides for example regular hexagonal, regular pentagon
etc.
Examples
Regular shapes have equal angles and
equal sides. For example
regular hexagonal, regular pentagon etc.
Below are some examples of regular and
irregular shapes: Regular Shapes: Above
shapes, triangle,square, pentagon
and hexagon, having same sidesand
same angles.
Examples
Square
Regular hexagon
Regular pentagon
Regular octagon
Equilateral triangle
Rhombus
Match The Following
Square
Regular hexagon
Regular pentagon
Regular octagon
Equilateral triangle
A map is a visual representation of an entire area or a
part of an area, typically represented on a flat surface.
The work of a map is to illustrate specific and detailed
features of a particular area, most frequently used to
illustrate geography. There are many kinds of maps;
static, two-dimensional, three-dimensional, dynamic
and even interactive. Maps attempt to represent
various things, like political boundaries, physical
features, roads, topography, population, climates,
natural resources and economic activities.
Map Images
Worksheet
Fill in the blanks:
1. A pentagonal prism has ______ faces, ______ edges and
_____ vertices.
2. Give two basic differences between a prism and a pyramid.
3. How many edges are there in a cuboid?
4. What are regular polyhedrons?
5. Give two basic differences between a prism and a pyramid.
State true or false
1. In a map, places that are far & those that are near, will be of the
same size to an observer.
2. If we add the dimension ‘height’ to a rectangle(with certain
length & breadth),we obtain a cuboid.
Answers
1. Faces: 7, Edges: 15, Vertices: 10
2. A Prism is a polyhedron in which the base & top are regular
polygons; whereas a pyramid is a polyhedron in which the base is a
polygon. b. In a prism the lateral surfaces are parallelograms;
whereas in a pyramid, the lateral surfaces are triangles.
3. 12
4. A polyhedron is said to be regular if its faces are made up of
regular polygons and the same number of faces meet a vertex.
5. A Prism is a polyhedron in which the base and top are
congruent polygons; whereas a pyramid is a polyhedron in which
the base is a polygon. b. In a prism the lateral faces are
parallelograms; whereas in a pyramid, the lateral surfaces are
triangles with a common vertex.
True--False
1. True
2. True
Visualising solid shapes, ppt

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Visualising solid shapes, ppt

  • 3. WHAT ARE SHAPES A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material composition. Psychologists have theorized that humans mentally break down images into simple geometric shapes called geons.[1] Examples of geons include cones and spheres.
  • 4. Contents 1. 2D shapes 2. 3D shapes 3. Regular shapes 4. Irregular shapes 5. Map
  • 5. 2d SHAPES 2D shapes can be summarized by calling them flatshapes. Any shape that can be laid flat on a piece of paper or any mathematical plane is a 2D shape. As a child, your first drawings probably used basic shapes, such as squares, triangles, and circles.
  • 6. Examples of 2d shapes POLYGON QUADRILATERALS CIRCLE TRIANGLE SQUARE RECTANGLE PENTAGON HEXAGON OCTAGON
  • 8. These shapes are solid or hollow. • They have three dimensions – length, width and height.
  • 9. Examples of 2d shapes Cube Cuboid Sphere Cone Cylinder Square Base Pyramid
  • 11. Irregular shapes are two dimension structure which lies in a plane. These shapes will not have all sides equal and all angles equal. Irregular shape is denoted as when all the sides of the shapes having different length and the value of angles should not be same for all the angles. For better understanding we should know the difference between regular and irregular shapes. Regular shapes have equal angles and equal sides for example regular hexagonal, regular pentagon etc.
  • 13. Regular shapes have equal angles and equal sides. For example regular hexagonal, regular pentagon etc. Below are some examples of regular and irregular shapes: Regular Shapes: Above shapes, triangle,square, pentagon and hexagon, having same sidesand same angles.
  • 14. Examples Square Regular hexagon Regular pentagon Regular octagon Equilateral triangle Rhombus
  • 15. Match The Following Square Regular hexagon Regular pentagon Regular octagon Equilateral triangle
  • 16. A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface. The work of a map is to illustrate specific and detailed features of a particular area, most frequently used to illustrate geography. There are many kinds of maps; static, two-dimensional, three-dimensional, dynamic and even interactive. Maps attempt to represent various things, like political boundaries, physical features, roads, topography, population, climates, natural resources and economic activities.
  • 18. Worksheet Fill in the blanks: 1. A pentagonal prism has ______ faces, ______ edges and _____ vertices. 2. Give two basic differences between a prism and a pyramid. 3. How many edges are there in a cuboid? 4. What are regular polyhedrons? 5. Give two basic differences between a prism and a pyramid. State true or false 1. In a map, places that are far & those that are near, will be of the same size to an observer. 2. If we add the dimension ‘height’ to a rectangle(with certain length & breadth),we obtain a cuboid.
  • 19. Answers 1. Faces: 7, Edges: 15, Vertices: 10 2. A Prism is a polyhedron in which the base & top are regular polygons; whereas a pyramid is a polyhedron in which the base is a polygon. b. In a prism the lateral surfaces are parallelograms; whereas in a pyramid, the lateral surfaces are triangles. 3. 12 4. A polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet a vertex. 5. A Prism is a polyhedron in which the base and top are congruent polygons; whereas a pyramid is a polyhedron in which the base is a polygon. b. In a prism the lateral faces are parallelograms; whereas in a pyramid, the lateral surfaces are triangles with a common vertex. True--False 1. True 2. True