8-7 introduction to three-dimensional figures warm up warm up lesson presentation lesson...

8-7Introduction to Three-Dimensional Figures

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpIdentify each two-dimensional figure described.

1. four sides that are all congruent

2. six sides

3. four sides with parallel opposite sides

4. four right angles and four congruent sides

rhombus

hexagon

parallelogram

square


Problem of the Day

If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom?

2


Prep for MA.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.Review of MA.5.G.3.1

Sunshine State Standards


Vocabulary

faceedgepolyhedronvertexbase

prism

pyramidcylinderconesphere


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

A polyhedron is a three-dimensional figure whose faces are all polygons. A vertex of a polyhedron is a point where three or more edges meet. 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 three-dimensional figures include cylinders, cones, and spheres. These figures are not polyhedrons because they are not made of faces that are all polygons.


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.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson Quiz: Part IIdentify the bases and faces of each figure. Then name each figure.

Two pentagon bases, 5 rectangular faces; pentagonal prism

One square base, 4 triangular faces; square pyramid

1.

2.


Lesson Quiz: Part IIClassify each figure as a polyhedron or not a polyhedron. Then name the figure.

polyhedron, rectangular prism

polyhedron, triangular prism

3.

4.


1. Identify the bases and faces, and then the name of the given figure.

A. pentagon; triangles; pentagonal prism

B. hexagon; triangles; hexagonal prism

C. pentagon; triangles; pentagonal pyramid

D. hexagon; triangles; hexagonal pyramid



2. Identify the bases and faces, and then the name of the given figure.

A. pentagon; triangles; pentagonal pyramid

B. heptagon; triangles; heptagonal pyramid

C. pentagon; rectangles; pentagonal prism

D. heptagon; rectangles; heptagonal prism



3. Classify the figure as a polyhedron or not a polyhedron, and then name the given figure.

A. polyhedron; pentagonal prism

B. polyhedron; pentagonal pyramid

C. not a polyhedron; cylinder

D. not a polyhedron; cone



4. Classify the figure as a polyhedron or not a polyhedron, and then name the given figure.

A. polyhedron; heptagonal prism

B. polyhedron; nonagonal pyramid

C. not a polyhedron; cylinder

D. not a polyhedron; cone


8-7 introduction to three-dimensional figures warm up warm up lesson presentation lesson...

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