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3D SHAPES PROPERTIES
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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 POLYHYEDRA
3D SHAPES (height, width, depth)
REGULAR
IRREGULAR
Escola la Maquinista SHAPE AND SPACE
POLYHEDRONS IN NATURE
LIMPET
WASP NEST POMEGRANATE PIPE