Current Affairs 8th Class

Solid Shapes

Category : 8th Class

SOLID SHAPES

 

FUNDAMENTALS

  • Description of Some basic shapes:

(a) Square

It has four sides and four comers. All its sides are of the same length.

 

(b) Rectangle.

It has four sides and four comers. The opposite sides of a rectangle are parallel and of the same length. Every interior angle is a right \[\angle \]le.

 

(c) Triangle

It has three sides and three vertices.

 

(d) Cuboid

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

 

(e) Cube

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

 

(f) Cylinder

It has 3 faces \[\to \] 1 curved face and 2 flat faces.

 

(g) Cone

It has 2 faces \[\to \] 1 curved face and 1 flat face.

It has 1 curved edge.

  • Two- dimensional shapes have only length and breadth.
  • Three dimensional shapes have length, breadth and height or depth.
  • Three-dimensional (or 3-D) shapes can be visualized 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. Generally, dice have number, 1 to 6 on their faces.
  • A solid can be sketched in two ways.

 

(a) An oblique sketch which does not have proportional faces but gives a realistic feel of the 3-D solid.

e.g., Oblique sketch of a cuboid.

 

(b) 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:

(a) Slicing the shape results in the cross - section of the solid.

(b) Observing a 2 - D shadow of a 3 - D shape.

(c) Looking at the shape from different angles, i.e., the front-view, the side-view and the top-view.

            Front and top view of a cylinder

  • Description of few more solid shapes

 

S. No.

Name of the figure

Figure

Description

Components

1.

Triangular prism

A triangular prism resembles a kaleidoscope. It has triangular bases. 

Faces: 5

Edges : 9

Vertices : 6

2.

Triangular pyramid or tetrahedron

It has a triangular base:

Face : 4

Edges : 6

Vertices : 4

3.

Square pyramid

It has a square as its base.

Faces : 5

Edges : 8

Vertices : 5

4.

Sphere

No flat face. It has only a spherical face. 

Face : 1

Edges : 0

Vertices : 0

 

 

 


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