This document discusses three-dimensional shapes. It defines 3D shapes as having height, width and depth. The basic properties of 3D shapes are faces, vertices and edges. Several famous 3D shapes are described including cones, cylinders, spheres, pyramids and cubes. Shapes are divided into polyhedra, which have flat faces, and non-polyhedra, which have curved faces. Polyhedra can be regular, with all faces as regular polygons, or irregular. Examples of polyhedra in nature are also given.

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3D SHAPES
 Three-dimensional shapes,
because there are 3 dimensions
HEIGHT, WIDTH and DEPTH

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HEIGHT, WIDTH AND DEPTH

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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

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SOME FAMOUS SHAPES
CONE
Faces – 2
Edges – 1
Vertices - 1

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CYLINDER
Faces – 3
Edges – 2
Vertices - 0

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SOME FAMOUS SHAPES
SPHERE
Faces – 1
Edges – 1
Vertices - 0

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SOME FAMOUS SHAPES
SQUARE BASED
PYRAMID
Faces – 5
Edges – 8
Vertices - 5

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SOME FAMOUS SHAPES
CUBE
Faces – 6
Edges – 12
Vertices - 8
SOME FAMOUS SHAPES

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TRIANGULAR PRISM
Faces – 5
Edges – 9
Vertices - 6

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TRIANGULAR BASED
PYRAMID
(Tetrahedron)
Faces – 4
Edges – 6
Vertices - 4

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CUBOID (square prism)
Faces – 6
Edges – 12
Vertices - 8

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3D SHAPES
 can be divided in
POLYHEDRA and
NON POLYHEDRA

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POLYHEDRA
also polyhedrons
A polyhedron is a 3d shape with
FLAT FACES
(from Greek poly- meaning "many" and -edron meaning "face").

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We name polyhedra
according to the
NUMBER
OF FACES

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

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Can you name these
shapes?

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POLYHEDRA
can be …
REGULAR and
IRREGUALR

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REGULAR
POLYHEDRA
All its faces are
regular polygons

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There are only 9
Regular Polyhedra
Tetrahedron Cube Octahedron Dodecahedron Icosahedron
Small Stellated Great Great Stellated Great
Dodecahedron Dodecahedron Dodecahedron Icosahedron

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IRREGULAR
POLYHEDRA
NOT all its faces are
regular polygons

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NON POLYHEDRA
also non polyhedrons
A polyhedron is a 3d shape with
any
CURVED FACES

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The most famous are
cone cylinder sphere
torus

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POLYHEDRA
NON
POLYHYEDRA3D SHAPES
(height, width, depth)
REGULAR IRREGULAR

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POLYHEDRONS IN NATURE
LIMPET
WASP NEST POMEGRANATE PIPE