**Rectangular Prisms**By Harry Marshall**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**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**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**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.**Key Terms**• Surface Area • Volume • Faces • Edges • Vertices • Net**Activity**• Rectangular Prisms - Volume and Surface AreaUse 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**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?**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).**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.**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.