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Escola la Maquinista SHAPE AND SPACE
3D SHAPES
 Three-dimensional shapes,
because there are 3 dimensions
HEIGHT, WIDTH and DEPTH
Escola la Maquinista SHAPE AND SPACE
HEIGHT, WIDTH AND DEPTH
Escola la Maquinista SHAPE AND SPACE
BASIC PROPERTIES
FACES, VERTICES and EDGES
3D shapes can be described in 3
ways:
Faces – the sides of the shape
Vertices – the corners
Edges – where the faces meet
FACES
VERTICES EDGES
Escola la Maquinista SHAPE AND SPACE
SOME FAMOUS SHAPES
CONE
Faces – 2
Edges – 1
Vertices - 1
Escola la Maquinista SHAPE AND SPACE
CYLINDER
Faces – 3
Edges – 2
Vertices - 0
Escola la Maquinista SHAPE AND SPACE
SOME FAMOUS SHAPES
SPHERE
Faces – 1
Edges – 1
Vertices - 0
Escola la Maquinista SHAPE AND SPACE
SOME FAMOUS SHAPES
SQUARE BASED
PYRAMID
Faces – 5
Edges – 8
Vertices - 5
Escola la Maquinista SHAPE AND SPACE
SOME FAMOUS SHAPES
CUBE
Faces – 6
Edges – 12
Vertices - 8
SOME FAMOUS SHAPES
Escola la Maquinista SHAPE AND SPACE
TRIANGULAR PRISM
Faces – 5
Edges – 9
Vertices - 6
Escola la Maquinista SHAPE AND SPACE
TRIANGULAR BASED
PYRAMID
(Tetrahedron)
Faces – 4
Edges – 6
Vertices - 4
Escola la Maquinista SHAPE AND SPACE
CUBOID (square prism)
Faces – 6
Edges – 12
Vertices - 8
Escola la Maquinista SHAPE AND SPACE
3D SHAPES
 can be divided in
POLYHEDRA and
NON POLYHEDRA
Escola la Maquinista SHAPE AND SPACE
POLYHEDRA
also polyhedrons
A polyhedron is a 3d shape with
FLAT FACES
(from Greek poly- meaning "many" and -edron meaning "face").
Escola la Maquinista SHAPE AND SPACE
We name polyhedra
according to the
NUMBER
OF FACES
Escola la Maquinista SHAPE AND SPACE
4 faces TETRAHEDRON
5 faces PENTAHEDRON
6 faces HEXAHEDRON
7 faces HEPTAHEDRON
… 20 ICOSAHEDRON
Escola la Maquinista SHAPE AND SPACE
Can you name these
shapes?
Escola la Maquinista SHAPE AND SPACE
POLYHEDRA
can be …
REGULAR and
IRREGUALR
Escola la Maquinista SHAPE AND SPACE
REGULAR
POLYHEDRA
All its faces are
regular polygons
Escola la Maquinista SHAPE AND SPACE
There are only 9
Regular Polyhedra
Tetrahedron Cube Octahedron Dodecahedron Icosahedron
Small Stellated Great Great Stellated Great
Dodecahedron Dodecahedron Dodecahedron Icosahedron
Escola la Maquinista SHAPE AND SPACE
IRREGULAR
POLYHEDRA
NOT all its faces are
regular polygons
Escola la Maquinista SHAPE AND SPACE
NON POLYHEDRA
also non polyhedrons
A polyhedron is a 3d shape with
any
CURVED FACES
Escola la Maquinista SHAPE AND SPACE
The most famous are
cone cylinder sphere
torus
Escola la Maquinista SHAPE AND SPACE
POLYHEDRA
NON
POLYHYEDRA3D SHAPES
(height, width, depth)
REGULAR IRREGULAR
Escola la Maquinista SHAPE AND SPACE
POLYHEDRONS IN NATURE
LIMPET
WASP NEST POMEGRANATE PIPE

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Wall display 3dshapes

  • 1. Escola la Maquinista SHAPE AND SPACE 3D SHAPES  Three-dimensional shapes, because there are 3 dimensions HEIGHT, WIDTH and DEPTH
  • 2. Escola la Maquinista SHAPE AND SPACE HEIGHT, WIDTH AND DEPTH
  • 3. Escola la Maquinista SHAPE AND SPACE BASIC PROPERTIES FACES, VERTICES and EDGES 3D shapes can be described in 3 ways: Faces – the sides of the shape Vertices – the corners Edges – where the faces meet FACES VERTICES EDGES
  • 4. Escola la Maquinista SHAPE AND SPACE SOME FAMOUS SHAPES CONE Faces – 2 Edges – 1 Vertices - 1
  • 5. Escola la Maquinista SHAPE AND SPACE CYLINDER Faces – 3 Edges – 2 Vertices - 0
  • 6. Escola la Maquinista SHAPE AND SPACE SOME FAMOUS SHAPES SPHERE Faces – 1 Edges – 1 Vertices - 0
  • 7. Escola la Maquinista SHAPE AND SPACE SOME FAMOUS SHAPES SQUARE BASED PYRAMID Faces – 5 Edges – 8 Vertices - 5
  • 8. Escola la Maquinista SHAPE AND SPACE SOME FAMOUS SHAPES CUBE Faces – 6 Edges – 12 Vertices - 8 SOME FAMOUS SHAPES
  • 9. Escola la Maquinista SHAPE AND SPACE TRIANGULAR PRISM Faces – 5 Edges – 9 Vertices - 6
  • 10. Escola la Maquinista SHAPE AND SPACE TRIANGULAR BASED PYRAMID (Tetrahedron) Faces – 4 Edges – 6 Vertices - 4
  • 11. Escola la Maquinista SHAPE AND SPACE CUBOID (square prism) Faces – 6 Edges – 12 Vertices - 8
  • 12. Escola la Maquinista SHAPE AND SPACE 3D SHAPES  can be divided in POLYHEDRA and NON POLYHEDRA
  • 13. Escola la Maquinista SHAPE AND SPACE POLYHEDRA also polyhedrons A polyhedron is a 3d shape with FLAT FACES (from Greek poly- meaning "many" and -edron meaning "face").
  • 14. Escola la Maquinista SHAPE AND SPACE We name polyhedra according to the NUMBER OF FACES
  • 15. Escola la Maquinista SHAPE AND SPACE 4 faces TETRAHEDRON 5 faces PENTAHEDRON 6 faces HEXAHEDRON 7 faces HEPTAHEDRON … 20 ICOSAHEDRON
  • 16. Escola la Maquinista SHAPE AND SPACE Can you name these shapes?
  • 17. Escola la Maquinista SHAPE AND SPACE POLYHEDRA can be … REGULAR and IRREGUALR
  • 18. Escola la Maquinista SHAPE AND SPACE REGULAR POLYHEDRA All its faces are regular polygons
  • 19. Escola la Maquinista SHAPE AND SPACE There are only 9 Regular Polyhedra Tetrahedron Cube Octahedron Dodecahedron Icosahedron Small Stellated Great Great Stellated Great Dodecahedron Dodecahedron Dodecahedron Icosahedron
  • 20. Escola la Maquinista SHAPE AND SPACE IRREGULAR POLYHEDRA NOT all its faces are regular polygons
  • 21. Escola la Maquinista SHAPE AND SPACE NON POLYHEDRA also non polyhedrons A polyhedron is a 3d shape with any CURVED FACES
  • 22. Escola la Maquinista SHAPE AND SPACE The most famous are cone cylinder sphere torus
  • 23. Escola la Maquinista SHAPE AND SPACE POLYHEDRA NON POLYHYEDRA3D SHAPES (height, width, depth) REGULAR IRREGULAR
  • 24. Escola la Maquinista SHAPE AND SPACE POLYHEDRONS IN NATURE LIMPET WASP NEST POMEGRANATE PIPE