Transcript Length in the Customary System

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 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 = LWH
Surface Area = 2LW + 2 LH + 2 WH
Rectangular Prisms
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.