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Escola la Maquinista SHAPE AND SPACE 3D SHAPES Three-dimensional shapes, because there are 3 dimensions HEIGHT, WIDTH and DEPTH

Wall display 3dshapes

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3D SHAPES PROPERTIES

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Page 1: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

3D SHAPES Three-dimensional shapes, because there are 3 dimensions

HEIGHT, WIDTH and DEPTH

Page 2: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

HEIGHT, WIDTH AND DEPTH

Page 3: Wall display 3dshapes

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

Page 4: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

SOME FAMOUS SHAPES

CONE

Faces – 2

Edges – 1

Vertices - 1

Page 5: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

CYLINDER

Faces – 3

Edges – 2

Vertices - 0

Page 6: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

SOME FAMOUS SHAPES SPHERE

Faces – 1

Edges – 1

Vertices - 0

Page 7: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

SOME FAMOUS SHAPES SQUARE BASED

PYRAMID

Faces – 5

Edges – 8

Vertices - 5

Page 8: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

SOME FAMOUS SHAPES CUBE

Faces – 6

Edges – 12

Vertices - 8 SOME FAMOUS SHAPES

Page 9: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

TRIANGULAR PRISM

Faces – 5

Edges – 9

Vertices - 6

Page 10: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

TRIANGULAR BASED PYRAMID

(Tetrahedron)

Faces – 4

Edges – 6

Vertices - 4

Page 11: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

CUBOID (square prism)

Faces – 6

Edges – 12

Vertices - 8

Page 12: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

3D SHAPES can be divided in

POLYHEDRA and

NON POLYHEDRA

Page 13: Wall display 3dshapes

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").

Page 14: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

We name polyhedra according to the

NUMBER OF FACES

Page 15: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

4 faces TETRAHEDRON 5 faces PENTAHEDRON 6 faces HEXAHEDRON 7 faces HEPTAHEDRON … 20 ICOSAHEDRON

Page 16: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

Can you name these shapes?

Page 17: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

POLYHEDRA can be …

REGULAR and

IRREGUALR

Page 18: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

REGULAR POLYHEDRA

All its faces are regular polygons

Page 19: Wall display 3dshapes

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

Page 20: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

IRREGULAR POLYHEDRA

NOT all its faces are regular polygons

Page 21: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

NON POLYHEDRA also non polyhedrons

A polyhedron is a 3d shape with

any

CURVED FACES

Page 22: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

The most famous are

cone cylinder sphere

torus

Page 23: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

POLYHEDRA

NON POLYHYEDRA

3D SHAPES (height, width, depth)

REGULAR

IRREGULAR

Page 24: Wall display 3dshapes

Escola la Maquinista SHAPE AND SPACE

POLYHEDRONS IN NATURE

LIMPET

WASP NEST POMEGRANATE PIPE