Geometry Solids

Lesson 67:

Geometric Solids

​Math Book | page 472-476

Notebook | page 69

Open Ended

What is a polygon? Give an example.

POLYGON

a flat, closed shape with only straight sides. It has NO depth.

Open Ended

How is a geometric solid different from a polygon?

Geometric solids

3-dimensional, take up space

Multiple Choice

Which of these figures is a POLYHEDRON?

• sphere

• cube

• cylinder

• all of the figures

How can I classify geometric solids?

Have only flat surfaces that are polygons

Examples: cubes, triangular prisms, pyramids

​Polyhedron

Have one or more CURVED surfaces

Examples: sphere, cylinder, cone

Not a Polyhedron

Multiple Choice

Which of these figures is not a polyhedron?

• cone

• cube

• triangular prism

• pyramid

How can we describe a polyhedron?

• Face: one of its flat surfaces

• Edge: where two faces meet

• Vertex (pl. Vertices): where 3 or more edges meet

​

Open Ended

Describe this figure using the words faces, edges, and vertices.

The figure has 5 faces, 8 edges, and 5 vertices.

Record the example in your notebook!

A special kind of polyhedron that has a constant polygon "running through it." That polygon determines the name of the prism.

Prisms

Multiple Choice

Is this a prism?

• yes

• no

Multiple Choice

Is this sphere a prism?

• yes

• no

How to draw a prism

1. Draw 2 identical, parallel polygons.

2. Draw segments connecting corresponding vertices.

3. Use dashed lines to show edges that are hidden.

Draw a rectangular prism and a triangular prism in your notebook!

If we were to flatten the faces of a 3D shape, we would get a 2 dimension figure called its NET.

We can use a NET to help us find the surface area of a polyhedron.

NET (pictured)

How do I find the surface area* of a 3D shape?

*Surface area: the total area of the surface of a geometric shape

Find the area of each face and add them together.

Are there other ways to find the surface area?

Fill in the Blanks

Let's Review

Multiple Choice

A solid that has depth but only flat surfaces is called

• polygon

• prism

• polyhedron

• pyramid

Multiple Choice

An example of a polyhedron is

• cone

• sphere

• cylinder

• cube

Multiple Choice

where three or more edges meet on a polyhedron is called

• polygon

• face

• edge

• vertex

Multiple Choice

where two faces meet on a polyhedron is called

• polygon

• face

• edge

• vertex

Multiple Choice

All polyhedrons are prisms.

• True

• False

Multiple Choice

A pyramid is an example of a prism.

• True

• False

Multiple Choice

The flat surface of a polyhedron is called

• polygon

• face

• edge

• vertex

Open Ended

Name one concept you understanding in this lesson.

Name one concept that you will need to review again.