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Volume of Prisms Rectangular and Triangular

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Page 1: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Volume of PrismsRectangular and Triangular

Page 2: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Digital Story link Beaulieu_Lauren.module#5.PhotoStory.wp3

Review

Page 3: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Discovery ActivityWorking with a partner complete the following activity to develop a formula for prisms. Each pearl is about 1 cm

in diameter and worth about $80.

Page 4: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

If we know the 3-dimensions are length, width, and height, what do you think the formula for the volume of a rectangular prism is? ______________________ Using this idea, answer the following.

Finding the Formula!

Page 5: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

From what you have learned so far, can you think of a formula that gives the volume of any prism?

Think about it!

Page 6: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Using the Formula

If a ream of paper has 500 sheets.

Page 7: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

In your own words, how can we find the volume of a prism?

Song: http://www.youtube.com/watch?v=tLuJIXizBgY

Discussion

Page 8: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

The _________ of a three-dimensional figure is a measure of the amount of space that it occupies. Volume is measured in ______units.

Lesson

Page 9: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

1.

Examples2.

3cm

2cm

6cm

4cm

Page 10: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

3. 4.

Page 11: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

5.

Now you try6. 11in

2.6in

1.5in

Page 12: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Why can we write the formula for finding the volume of a rectangular prism as V=lwh and V= Bh?

How can we apply this to real life?

Discussion

Page 13: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Exit SlipA movie theater designs two bags to hold 96 cubic inches of popcorn.(a) Find the height of each bag. (b) Which bag should the theater choose to reduce the amount of paper needed? Explain.

Page 14: Rectangular and Triangular.  Digital Story link  Beaulieu_ #5.PhotoStory.wp3 Beaulieu_ #5.PhotoStory.wp3

Write your own real-world example involving the volume of a rectangular or triangular prism or both!

Log onto the class blog and submit your example (www.mathblogbeaulieu.com)

Choose two other classmates examples to solve and bring this work to class

Tomorrow we will view the blog to see all of your examples!

Homework