Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE ____________ PERIOD ____
Algebra Activity Recording Sheet
(Use with the Lesson 8-1 Follow-Up Activity on page 416 in the Student Edition.)
Investigating Surface Area and Volume
Materials:
scissors, tape, grid paper
Analyze the Data
1. Complete the table using the prisms you made.
Surface Surface Area Ratio Volume Ratio
Area Volume SA of New V of New
Prism Dimensions (cm 2 ) (cm 3 ) SA of Original V of Original
Original 2 by 5 by 3 62 30
A 4 by 10 by 6
B 6 by 15 by 9
2. Make a prism with different dimensions from any in this activity.
Repeat the steps in Collect the Data, and make a table similar to the
one in Exercise 1.
Make a Conjecture
3. Suppose you multiply each dimension of a prism by 2. What is the ratio
of the surface area of the new prism to the surface area of the original
prism?___________
What is the ratio of the volumes?___________
4. Suppose you multiply each dimension of a prism by 3. What is the ratio
of the surface area of the new prism to the surface area of the original
prism?___________
What is the ratio of the volumes?___________
5. Suppose you multiply each dimension of a prism by a. Make a
conjecture about the ratios of surface areas and volumes.
Extend the Activity
6. Do the conjectures you made in Exercise 5 hold true for cylinders?
Explain.
Algebra 1—Chapter 8
© Glencoe/McGraw-Hill 135 Teaching Algebra with Manipulatives