rectangular prisms by harry marshall. summary accompaniment to glencoe’s mathematics: applications...
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![Page 1: Rectangular Prisms By Harry Marshall. Summary Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1 Chapter 14 – Geometry: Measuring](https://reader035.vdocuments.net/reader035/viewer/2022070408/56649e535503460f94b4919f/html5/thumbnails/1.jpg)
Rectangular Prisms
By Harry Marshall
![Page 2: Rectangular Prisms By Harry Marshall. Summary Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1 Chapter 14 – Geometry: Measuring](https://reader035.vdocuments.net/reader035/viewer/2022070408/56649e535503460f94b4919f/html5/thumbnails/2.jpg)
Summary
• Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1
• Chapter 14 – Geometry: Measuring Area and Volume
• Lesson 14-5 – Volume of Rectangular Prisms• Lesson 14-6 – Surface Area of Rectangular
Prisms • 6th Grade Intensive Mathematics
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Sunshine State Standards
MA.A.3.3.2-1, MA.A.3.3.2-2, MA.A.3.3.3-1, MA.A.3.3.3-2, MA.B.1.3.1-1, MA.B.2.3.2-2, MA.C.1.3.1-5, MA.C.1.3.1-6, MA.C.2.3.1-1, MA.C.3.3.1-1
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Prerequisite Skills and Supplies
• Basic Understanding of Computers
• Internet Access on a Computer with Java Installed
• Familiarity with Concept and Formulas for the Volume and Surface Area of Rectangular Prisms
• Familiarity with Algebraic Equations
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Objective
• To provide students with practice calculating volume and surface area of prisms with a visible manipulative that demonstrates how a change in one dimension will affect both the surface area and volume of a prism. without the need for costly manipulatives.
![Page 6: Rectangular Prisms By Harry Marshall. Summary Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1 Chapter 14 – Geometry: Measuring](https://reader035.vdocuments.net/reader035/viewer/2022070408/56649e535503460f94b4919f/html5/thumbnails/6.jpg)
Key Terms
• Surface Area• Volume• Faces• Edges
• Vertices• Net
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Activity
• Rectangular Prisms - Volume and Surface Area
Use the rectangular prism formulas below to answer the questions at the bottom of the
worksheet. Then drag the sliders and check your answers.
Volume = LWHSurface Area = 2LW + 2 LH + 2 WH
![Page 8: Rectangular Prisms By Harry Marshall. Summary Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1 Chapter 14 – Geometry: Measuring](https://reader035.vdocuments.net/reader035/viewer/2022070408/56649e535503460f94b4919f/html5/thumbnails/8.jpg)
Rectangular Prisms
![Page 9: Rectangular Prisms By Harry Marshall. Summary Accompaniment to Glencoe’s Mathematics: Applications and Concepts Course 1 Chapter 14 – Geometry: Measuring](https://reader035.vdocuments.net/reader035/viewer/2022070408/56649e535503460f94b4919f/html5/thumbnails/9.jpg)
Questions
1. What is the volume of a prism with a length of 5 units a width of 8 units and a height of 6 units?2. What is its surface area?3. Create a prism of different dimensions that has the same volume as the 5x8x6 prism.4. Is its surface area the same? greater? less?
*Beyond the Basics*
5. If you had to manufacturer the boxes to hold 216 cubic units of product, what are some of the options for box dimensions?6. Which box design would use the least material?
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Key Questions
Compare / Contrast using the formulas learned in class for solving problems of surface area and volume of rectangular prisms with using the Geogebra web worksheet?
• Do prisms with the same volume necessarily have the same surface area? (No, it may vary greatly).
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Assessment
• The answers to the questions are to be turned in and graded by the teacher and returned to the students with feedback.
• A participation grade can also be given for the class discussion.
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Supplemental activities lesson
• Extensions to the lesson could include measuring the volume and surface area of real objects (e.g. the volume and surface areas of a picnic cooler, classroom, or suitcase.
• They could be asked to obtain measurements of items at home, such as their oven, microwave, or refrigerator and bring in the results to compare with classmates.
• Extensions to the activity should include practice with a variety of actual units, both metric and customary.