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1. SOLID GEOMETRY
Solid Geometry is the geometry of
three-dimensional space, the kind of
space we live in ...

2. Three Dimensions
It is called three-
dimensional, or 3D
because there are three
dimensions: width,
depth and height.

3. Two main types of solids
 Polyhedron
 Non-polyherdon

4. Polyhedra
 A polyhedron is a solid made of flat surfaces.
Each surface is a polygon. Examples:
1. Platonic solids -
tetrahedron Cube
(hexahedron)
octahedron dodecahedron
icosahedron

5. polyhedra
2. Prisms - A prism has the same cross section
all along its length !
Square prismTriangular
prism
Pentagonal prism

6. Pyramids
 Pyramids - a solid shape or structure
that has triangular sides that slope to
meet in a point and a base that is
often, but not necessarily, a square

7. Parts of pyramid
A pyramid is made by connecting
a base to an apex

8. Types of pyramid
Triangular
Pyramid
Pyramid Base
Square
Pyramid:
Pentagonal
Pyramid:

9. Non Polyhedra
 Non polyhedra- Some solids have curved
surfaces, or a mix of curved and flat surfaces
(so they aren't polyhedra). Examples:
1. Sphere
2. Cylinder
3. Torus
4. Cone

10. sphere
 Sphere -a three-dimensional closed
surface consisting of all points that
are a given distance from a center
Properties:
1. It is perfectly symmetrical
2. It has no edges or vertices
3. All points on the surface are
the same distance from the
center

11. cylinder
 Cylinder – an object or shape with straight sides
and circular ends with equal size
It has a flat base and a flat top
The base is the same as the
top, and also in-between
It has one curved side
Because it has a curved surface it is
not a polyhedron.

12. Torus
 Torus- a ring shaped surface
It can be made by revolving a
small circle along a line made
by another circle.
It has no edges or vertices
It is not a polyhedron

13. Cone
 Cone- has a circular based and
tapers to a point at the top or has
a circular top and tapers to a point
at the bottom.
It has a flat base
It has one curved side
Because it has a curved
surface it is not a
polyhedron.