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In this lesson, you will investigate different strategies for finding the volume of non-rectangular prisms.  The problems require you to describe how you.

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Presentation on theme: "In this lesson, you will investigate different strategies for finding the volume of non-rectangular prisms.  The problems require you to describe how you."— Presentation transcript:

1 In this lesson, you will investigate different strategies for finding the volume of non-rectangular prisms.  The problems require you to describe how you visualize each shape.  As you work with your team, ask each other these questions to focus your discussion: How can the shape be broken down into simpler shapes? Can we break the shape into equal layers or slices?

2 9-83. THE SHELL BOX Laurel keeps her seashell collection in a small box that is shaped like a rectangular prism with a base of 4“ by 3"and height of 5" (see diagram below).  Calculate the volume of Laurel’s original small box.  What method did you use?  She wants to make a bigger box for her shells, and she has found a pattern that she likes.  The pattern has two sides that are pentagons, and the finished box will look like a miniature house. Use the net on the Lesson Resource Page to construct a paper model of Laurel’s new box. 

3 c. Laurel was trying to figure out the volume of the new box.
One of her friends said, “Why don’t you find the volume of one layer and then figure out how many layers there would be?” Another friend said, “What if you separated the pentagon into two parts, so that you have a rectangular prism and a prism with a triangle base?  Then you could find the volume of the two parts separately and put them back together.” Talk about each of these strategies with your team.  Could Laurel use these ideas to find the volume of her new box? d. Work with your team to calculate the volume of Laurel’s new box.  Show your thinking clearly and be prepared to share your method with the class.

4 9-84. Find the volume of the prism at right using any method you choose.  Be prepared to explain your reasoning.

5 9.2.4 Practice Cronnelly Sean can type 731 words in 17 minutes. What is his unit rate? James scored 98 points in a 40 minute game. What was James’ unit rate? Justin and his friends are having a TV marathon. After 4 hours they have watched 5 episodes of the show. About how long will it take the complete the season, which is 24 episodes? The tax on a $600 laptop is $54. What is the tax on a $1700 laptop? Sam grew inches in months. How much should Sam grow in one year?


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