8-7 Introduction to Three-Dimensional Figures Notes on Intro to 3D Figures Essential Question: How would you use Perimeter, Area, Surface Area, and Volume

8-7Introduction to Three-Dimensional Figures

Notes on Intro to 3D Figures

Essential Question: How would you use Perimeter, Area, Surface Area, and Volume in your backyard?

Benchmark: “The student will be able to…” Justify and apply formulas for Surface Area and Volume of pyramids, prisms, cylinders, and cones.

Learning Goal: “The student will be able to understand…” Measurement and Geometry

Learning Activity: “We will learn this by…”


3D figures have three dimensions: length, width, and height. A flat surface of a 3D figure is a face. An edge is where two faces meet.

A polyhedron is a 3D figure whose faces are all polygons.

The face that is used to name a polyhedron is a base.

A prism has two bases, and a pyramid has one.



Identify the bases and faces of the figure. Then name the figure.

Additional Example 1A: Naming Prisms and Pyramids

There are two octagonal bases.

The figure is an octagonal prism.

There are eight rectangular faces.


Additional Example 1B: Naming Prisms and Pyramids

There is one base, and it is a pentagon.

There are five triangular faces.

The figure is a pentagonal pyramid.



Additional Example 1C: Naming Prisms and Pyramids

There is one base, and it is a triangle.

There are three triangular faces.

The figure is a triangular pyramid.



Additional Example 1D: Naming Prisms and Pyramids

There are two bases, and they are both hexagons.

There are six rectangular faces.

The figure is a hexagonal prism.



Check It Out: Example 1A

There are two bases and they are both triangles.

There are three rectangular faces.

The figure is a triangular prism.



Check It Out: Example 1B

All faces and bases are congruent squares.

The figure is a cube.



Other 3D figures include cylinders, cones, and spheres. These figures

are not polyhedrons.


You can use properties to classify three-dimensional figures.


Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

Additional Example 2A: Classifying Three-Dimensional Figures

The faces are all polygons, so the figure is a polyhedron.

There is one rectangular base for each figure.

The figure is made up of a rectangular pyramid and a rectangular prism.


There is one circular base.


Additional Example 2B: Classifying Three-Dimensional Figures

The faces are not all polygons, so the figure is not a polyhedron.

The figure is a cone.


There are two circular bases.


Additional Example 2C: Classifying Three-Dimensional Figures


The figure is a cylinder.


Check It Out: Example 2A


There is one circular base for the top figure and two circular bases for the bottom figure.


The figure is made up of a cylinder and a cone.


Check It Out: Example 2B


There are two triangular bases for the figure.


The figure is a triangular prism.


Check It Out: Example 2C


There is one square base for the figure.


The figure is a square pyramid.

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8-7 Introduction to Three-Dimensional Figures Notes on Intro to 3D Figures Essential Question: How would you use Perimeter, Area, Surface Area, and Volume