Eligible Content M3.C.1.1.2 

Help Me To:
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Name/identify/describe geometric shapes in three dimensions (sphere,
cube, cylinder, cone, pyramid, rectangular prism).

Did You Know?

A solid figures has three dimensions: length, width and height. A solid figure also
has faces, edges and vertices.

Look at the following examples that show some different types of solids. These
figures show the location of faces, edges and vertices.

 

Check What You Know First

Answer these questions with true or false.

A cube has 6 faces, 12 edges and 8 vertices.

 

A solid figure had two dimensions.

 

A cube is a square box shape with 8 faces.

 

Any point where edges meet is a vertex.

 

Key Vocabulary

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Click on the highlighted words to view a diagram

A solid figure is a 3-dimensional figure having length, width and height.

A polyhedron is a 3-dimensional solid with flat surfaces as faces.

A polygon is a closed figure with straight sides; each side is a line segment.
Polygons are named by the number of sides and angles they have.

A face is a flat surface of a solid figure.

An edge is the line segment formed where two faces meet.

A vertex is a corner or any point where three or more edges meet. 
Two or more corners are called vertices.

A base is a side of a polygon or a face of a solid figure by which the figure is
measured or named.

 

Learn About It Now

Solid figures have three dimensions: length, width and height.  3d


Polyhedrons are figures with flat surfaces called faces, which are made up of
polygons.  Prisms and pyramids are examples of polyhedrons.  Cylinders, cones and
spheres are not polyhedrons, because they have curved, not flat surfaces.

The faces of solid figures are polygons.

The segments formed where these faces meet are edges.

Any point where edges meet is a vertex.

 

Look at the following 3-dimensional shapes and the names of each of the shapes.


The following chart shows the number of faces, edges and vertices of 3-dimenional shapes.

chart


Refer to following chart for the definitions of the various shapes.

Definitions of Three-Dimensional Shapes

Three-dimensional shapes can be solid or hollow. They have width,
height and length.

Cube

 

A cube is a square box shape. It has six faces. Every face
is a square. All these squares are the same size. A cube
has eight vertices (corners).

Sphere

 

A sphere is a perfectly round three-dimensional shape
like a ball. It has only one curved face.

Cylinder

 

A cylinder has circular ends of equal size. Cylinder-
Shaped objects include tins of fruit, rolls of toilet paper
and even some coins.

Cone

 

A cone has a flat circular base. Its sides are curved. Its
top is pointed and is sometimes called the apex.

Triangular Prism

A triangular prism has two ends that are exactly the
same size and shape and they are parallel to each other.
The ends of a triangular prism are triangular. It is shaped
like a triangle all the way through its length. It has six
vertices and five flat sides.

Rectangular Prism

 

A rectangular prism has six faces that are all rectangles.
It has 12 edges and 8 vertices.

Rectangular Pyramid

 

A rectangular pyramid has a rectangular shape for its
base with 4 triangular faces, 8 edges and 5 vertices.

Square-Based
Pyramid

 

A square-based pyramid has a square for its base and triangular faces which meet at one vertex.

Remember that shapes can have line symmetry and rotational symmetry.

 

More Practice on Three-Dimensional Geometric Shapes

Click below to review what you have learned about three-dimensional figures
and then answer questions on faces, edges and vertices.  The program is
entitled GeoCleo.
www.beaconlearningcenter.com/WebLessons/

Click below to review information on both polygons and solid figures.
Also you can view both the polygon shapes and three-dimensional figures.
http://eduplace.com/math/mhm/3/07/index.html

 

Websites to Check Out For Extra Practice

Click below for an excellent review of solid figures.  Go to Teaching Model 17.1
Solid Figures.  Make sure your speakers are turned on.
http://eduplace.com/parents/mw/models/md_5.html