7th Class Mathematics Visualising Solid Shapes

Visualising Solid Shapes

Category : 7th Class

 Visualising Solid Shapes


  • Description of Some Basic Shapes:

            (i) Square


            

           

        

It has four sides and four corners.      

            All its sides are of the same length.

 

            (ii) Rectangle

 

 

 

         

It has four sides and four corners.                  

            The opposite sides of a rectangle are of the same length.

            (iii) Triangle

 

 

          

            It has three sides and three vertices.                                                        

           

            (iv) Cuboid 

 

 

 

       

It has 6 flat faces, 12 straight edges and 8 vertices.

 

            (v) Cube

 

 

         

(vi) Cylinder

 

                       

 

         

It has 3 faces

                               \[\to\]

            1 curved face and 2 flat faces.

            It has 2 curved edges.

            (vii) Cone

 

           

 

         

It has 2 faces

                               \[\to\]

            1 curved face and

            It has 1 curved edge.

 

 

  • Three dimensional shapes have length, breadth and height or depth.
  • Two-dimensional shapes have only length and breadth.
  • Three-dimensional (or 3 - D) shapes can be visualised on a two-dimensional (or 2-D) surface.
  • A net is a skeleton-outline in 2 - D which when folded results in a 3-D shape. The same solid can have several types of nets.
  • Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven
  • Dots on them. Some dice have number, 1 to 6 on their faces.
  • A solid can be sketched in two ways.
  • An oblique sketch which does not have proportional lengths, but conveys all important aspects of the appearance of the solid.
  • An isometric sketch, drawn on an isometric dot paper, which has proportional measurements of the solid.
  • Different sections of a solid can be viewed in many ways:
  • Slicing the shape results in the cross-section of the solid.
  • Observing a 2-D shadow of a 3-D shape.
  • Looking at the shape from different angles, i.e., the front-view, the side-view and the top-view.

 

  • Description of few more solid shapes

 

  

S.NO.

Name of figure

Figure

Description

Components

1.

Triangular Prism

 

 

A Triangular resembles a kaleidoscope.

Faces: 5

Edges: 9

Vertices: 6

2.

Triangular Pyramid or Tetra- hedron

It has a triangular base.

 

Faces: 4

Edges: 6

Vertices: 4

3.

Square Pyramid

It has a Square as its

Faces: 5

Edges: 8

Vertices: 5

4.

Sphere

 

NO Flat face. It has only a spherical face.

Faces: 1

Edges: 0

Vertices: 0

 

 

Other Topics

Notes - Visualising Solid Shapes
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