Shape       

Copyright David & Cynthia Thomas, 2009

 

Surface Area and Volume--Directed Activity: The Volume of an Open Top Box

                                                 

Focus

Volume of an open top box.

Technologies

The Geometers Sketchpad  and model 6_BoxVolume

NCTM Illuminations Cubes

Background

Figure 6.11: Volume of an Open Top Box

Tasks

Using The Geometers Sketchpad  and model 6_BoxVolume, answer the following questions

·        As you change the size of the corner cut, what happens to the volume?

·        Is there a maximum volume?  A minimum volume?

Explore the model NCTM Illuminations Cubes. 

·        How would you employ both models to develop a deep understanding of the concept of volume of rectangular solids?

·        How would you use the models to help students discover and test a formula for volume?