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Visualising solid shapes

3-dimensional solid shapes polyhedrons

Views of 3-d shapes The solids made up of flat faces bounded by polygons are
called polyhedrons.
Top
Convex Polyhedrons Concave Polyhedrons
Front Side Front view Side view Top view
A hut
Top
Front Side
A juice can Front view Side view Top view prism pyramid

A polyhedron whose A polyhedron whose base is
Mapping space around us
base and top are a polygon and lateral faces
congruent polygons
Map shows the location of a particular and other lateral faces are triangles with a common
place with respect to other places. are parallelogram. vertex.

Right prism

oblique prism
Triangular pyramid

Euler’s Formula Triangular
Triangular prism lateral face
The Euler’s formula states that the V = 6,
number of faces (F), number of vertices
(V) and the number of edges (E) in E = 9, V = 4, E = 6, F = 4
a simple convex polyhedron has a F = 5 Rectangular pyramid
relation: Rectangular prism
F + V – E = 2
V = 8,
Regular polyhedrons (platonic solids) E = 12,
F = 6
The regular convex polyhedrons are square prism V = 5, E = 8, F = 5
known as the platonic solids.
V = 8, pentagonal pyramid
E = 12,
F = 6
pentagonal prism

V = 10,
E = 15, V = 6, E = 10, F = 6
F = 7

225 Visualising Solid Shapes