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Solid Geometry
Parts of a 3D shape
Three Dimensions
Solid Geometry is the
geometry of threedimensional space
It is called threedimensional, or 3D
because there are three
dimensions: width, depth
and height.
Polyhedron
A geometric object
with flat faces and
straight edges.
a polyhedron is a
three - dimensional
figure made up of
sides called faces,
each face being a
polygon.
Base
The lowest part.
The surface that a
solid object
stands on, or the
bottom line of a
shape such as a
triangle or
rectangle.
Prism
A solid object that has
two identical ends and all
flat sides.
The cross section is the
same all along its length.
The shape of the ends
give the prism a name,
such as "triangular
prism“
It is a polyhedron.
Pyramid
A solid object where:
* The base is a polygon
(a straight-sided shape)
* The sides are triangles
which meet at the top
(the apex).
It is a polyhedron.
Cylinder
A cylinder is a
solid object with:
* two identical
flat circular or
elliptical ends
* and one curved
side.
Cone
A solid
(3-dimensional)
object that has a
circular base and
one vertex
Prisms & Pyramids
Type
Triangular Prism
Rectangular Prism
Cube
Square Pyramid
Triangular Pyramid
Examples
Properties
● 5 faces
2 triangular bases
3 rectangular faces
● 9 edges
● 6 vertices
6 faces
2 rectangular bases
4 rectangular faces
● 12 edges
● 8 vertices
● 6 faces
2 square bases
4 square faces
● 12 edges
● 8 vertices
● 5 faces
1 square base
4 triangular faces
● 8 edges
● 5 vertices
● 4 faces
1 triangular base
3 triangular faces
● 6 edges
● 4 vertices
Three Dimensional Figures with
Curved Surfaces
Type
Example
Properties
●2
Cylinder
circular bases
● 1 curved surface
Cone
●1
●1
circular base
curved surface
● 1 vertex
Sphere
●1
curved surface
Surface area
Surface area is the outside of a shape. You can find
many of these shape’s surface area by looking at their
nets and taking the area of their polygons.
Volume
Volume is the amount of space inside a shape, and each
type of 3D shape has its own formula for solving this.
Go to bachyear9.wikispaces.com
and download the PDF files for 2D
and 3D formulas.