Sunday, 8 January 2017

SOLID GEOMETRY CONTINUES....


When moving into the types, we had two types.  Now we will move onto the first one i.e Polyhedron.

Polyhedron as said before it must have flat surfaces. When moving into their types, we will start with cubes and cuboids.

Cube:

A cube is a polyhedron with six faces and all its faces are equal in length and breadth.

Properties:

  • It has 6 faces.
  • Each face will be having 4 edges looking like a square.
  • In total, it has 12 edges.
  • It has 8 vertices's i.e corners.
  • In each vertex 3 edges meet each other.
  • It also comes under the platonic solids.

As it  has six faces, it is known as hexahedron.

Example: simple dice we used to play ladder games.












 we will see formula's and about them in detail later.

CUBOID:

A cuboid is a box-shaped object which has different length, width and depth.

PROPERTIES:


  • It has six flat surfaces 
  • All angles are right angles.
  • All its face are in rectangles.
  • It also looks like prism because it has some cross-section along a length. 
  • Also a rectangular prism.
  • It becomes a square prism when two of its length become equal.

Example: Cardboard box, Pencil Box, bricks,...

Platonic Solid:

A platonic solid is also a 3-D shape in which each face is the same regular polygon and the same number of polygons meet at each vertex.

There are only five types of platonic solids. They are

  • Tetrahedron
  • cube
  • octahedron
  • dodecahedron
  • icosahedron










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