Class 7 - Arjun

Ex 12.1

  • solid shapes - plane figures
  • 2D figures and 3D figures
  • Faces - plane surface that encloses a solid
  • Edges - 2 faces meet or intersect
  • Vertices - 3 edges meet or intersect
  • cuboid - 6F - 12E - 8V
  • cube - 6F - 12E - 8V

a cube is a cuboid but a cuboid is not a cube

  • prism - polygon with lateral surfaces always rectangle
  • types of prism based on the base of the prism
    • triangular - 5F - 9E - 6V
    • pentagonal - 7F - 15E - 10V
    • hexagonal - 8F - 18E - 12V
    • cuboid - rectangular prism - 6F - 12E - 8V
    • cube - square prism - 6F - 12E - 8V
  • pyramid - base of polygon and lateral faces are all triangles with common vertex
  • types based on the face of pyramid
    • triangular pyramid - tertrahedron
    • rectangular pyramid
    • hexagonal pyramid
  • polyhedron - shape with many faces
  • " V + F - E = 2" - Euler
  • Cylinder -
    • base and top - circles
    • lateral surface - curves
    • no vertex
    • line joining the base and top = axis of cylinder
  • Cone - pyramid with circular base
    • every point of the circumference is joined to a point outside the base - vertex
    • plane circular base
    • lateral surface is curved

Net of different shapes

  1. Cuboid ![obsidian|250][NetCuboid.png]

  2. Cube

    net of cube

  3. prism triangular prism

    net of triangular prism
    hexagonal prism ![obsidian|250][Hexagonal-Prism-Net.jpg]

  4. pyramid ![obsidian|250][Square-Pyramid-Net.jpg]

  5. cylinder ![obsidian|250][cylinder-net.png]

  6. cone

    net of cone

Ex 12.2

  • drawing solid shapes

Ex 12.3

  • visualising solid shapes
  • cutting or slicing
  • from different angles or view
    • arial or top view
    • front view
    • side view
  • shadowing from different sides
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