THINK
 METRIC
 VOLUME
Self instructional Package
Mark Fairbank
Estimated Working Time: 45 minutes

Return to Metric Index

PRETEST

    How are you?   In the marvelous metric world, volume is an important physical property which we measure.  You have a chance to show Mr. Light Bulb how knowledgeable you are concerning metric volume.  If you are able to answer 14 out of 15 correct on the pretest you will not need to perform this package.
 

 
 
 
                 Pretest
 1.   What is the symbol or abbreviation for centiliter?
 2.   How many centiliters are there in 16 liters?
 3.   If you know the length, width, and height of a box, how would you determine
        its volume?
 4.   What is the symbol for kiloliter?
 5.   How many milliliters are there in 56.5 liters?
 6.   What is the length of a cube with a volume of one liter?
 7.   What is the word for the ml symbol?
 8.   How many deciliters are there in 500 milliliters?
 9.   How many hectoliters are there in 60 liters?
10.  What is the symbol for hectoliter?
11.  What is the symbol for dekaliter?
12.  What is the volume of a box which has a width of 20 cm, a height of 0.5
         meters, and a length of 750 millimeters?  Please give answer in milliliters.
13.  How many dekaliters are there in 15 deciliters?
14.  What is the volume of a box that has a height, length, and width of one
         centimeter?  Record your answer in milliliters.
15.  What is the word for the cl symbol?

ANSWERS:
 
 
 
 
 

    If you have successfully completed the pretest you are a master in metric volume.  If you did not get at least 14 out of 15 correct then you are able to walk your way through the metric world of volume with Mr. Light Bulb.
 
 
 

 
 
 
                                                             OBJECTIVES
On your way through the magical metric world of volume you will learn to:
a)    Convert from one unit of metric volume to another.
b)    Write the abbreviation or symbols for the words
        which are associated with metric volume.
c)    Calculate the volume of rectangular boxes using metric units.

You will also begin to understand approximate volumes of different objects.
 
 

 
 
 
MANEUVER FORWARD INTO THE MAGICAL METRIC WORLD
 
 
METRIC MAGIC
Complete all sections of this
magical metric package.
They are important in guiding
you through metric volume.
 

Metric volume is so easy to understand as metric length.  The basic unit of volume is the liter.  A liter is a cube which has a length, width, and height of 10 centimeters.  A cube is what you might call a square box.

 
              WOW!   LOOK!   A DIAGRAM OF A CUBE WHICH IS A LITER BIG.
 

 
 

    Did you see the size of the diagram of the cube?  Let us calculate the volume of the cube.  Two liters would fit into a small shoe box.  The mathematical expression for the volume of a box is length times width times height.
 

VOLUME = LENGTH  X  WIDTH  X  HEIGHT
 
   .The length, width, and height of a cube which has a volume of one liter are all 10 centimeters.  The volume if the liter is calculated below.
 VOLUME  = 10 cm  X  10 cm  X  10 cm
 VOLUME  =  100 cmX 10 cm
VOLUME  = 1000 cm3

 The symbol cm3 is read as centimeter cubed or cubic centimeter.  A cubic centimeter is a cube with the length, width,  and height all 1 centimeter in length.  Look at the diagram of the cubic centimeter below.  The cubic centimeter is about the size of a sugar cube.
 

Believe it or not....1000 of these little cubes can fit into a cube which is a liter big.  Since 1000 cubic centimeters can fit into a liter, it is given the special name of a millimeter.  Remember that the prefix milli means 1/1000 or one thousandth.  So, a millimeter is one thousandth of a liter.
 

       QUESTIONS

1)    What is the volume of a cube which has its length, width, and height equal to 1 cm?

2)    What is the volume of a cube which has a length, width, and height equal to 10 cm?

3)    What is the other name for a cubic centimeter or 1 cm3?

4)    What is the other name for a cube with a volume of 1000 cm3?

5)    What is equation used to determine the volume of a rectangular box?

ANSWERS

 

       A simple way to convert between the prefixes of metric volume is through the use of the metric staircase.  Mr. Light Bulb will show you the metric staircase.
 

 
   TRY SOME MORE QUESTIONS
Here is a sample problem to help you understand the use of the metric staircase.
a)    How many millimeters are there in 5 liters?
SOLUTION:
How many steps is it from the liter to the millimeter?
You are right if you said 3.  You move the decimal point three places to the right since you are moving down the staircase.
                             5._ _ _
Now what do we do? Well, Mr. Light Bulb says to fill the troughs with zeros.
                                    5000 5000 milliliters
We found out that there are 5000 milliliters in 5 liters.
 
        Try Some More
 1. How many liters are there in 500 milliliters?
 2. How many centiliters in 500 milliliters?
 3. What is another name for 1 cm3?
 4. What is the volume of a cube with a height and width of 1 cm and a length of 2 cm? record your
     answer in milliliter.
 5. What is another name for kiloliter?
Answers:

 

        NOW IT'S STARTING TO MAKE SENSE!

    To give you an idea of what a cubic meter is, Mr. Light Bulb will demonstrate. A cubic meter of 1m3 is about the same size as the refrigerator part of your refridgerator/freezer At home. The cubic meter is used to measure  very large objects, such as the water in a pool or the room inside of a railway box car.
      LOOK! a representation of a cubic meter

  MORE QUESTIONS!!!
    Fill in the following table by converting prefixes using the metric staircase.
 
 
milliliter
(ml)
liter
(l)
kiloliter or cubic 
(kl)    meter
1.
10
 
 
2.
 
5.2
 
3.
 
 
15
4.
 
20
 
5.
1000


  Answers:
 

The symbol for the liter is l and the symbol for the prefixes are shown below in the table, as well as on the metric staircase.
 

prefix
symbol
size
kilo
k
1000
hecto
h
100
deka
da
10
base unit
 
1
deci
d
0.1 or 1/10
centi
c
0.01 or 1/100
milli
m
0.001 or 1/1000
 
 
 

 
 
QUESTIONS TO TEST YOUR KNOWLEDGE OF METRIC SYMBOLS
Complete the following table:
 

 
prefix
symbol
1.
kilo
 
2.
hecto
 
3.
 
da
4.
deci
 
5.
 
c
6.
milli

 7.  What is the symbol for liter ?
 8.  What is the symbol for milliliter ?
 9.  What is the volume of a cube that has a height, width, and length of 1 meter ?
10. What unit of measurement would you use to measure the volume of a swimming pool ?

Answers:

HERE ARE A FEW MORE EXERCISES BEFORE THE POSTTEST.
 

            QUESTIONS
 1.  What is the volume of a cube which has a width, height, and length equal to 1 meter ?
 2.  What is the volume of a box with a height and length equal to 10 cm and a width of 20 cm ?
 3.  What is the symbol for milliliter ?
 4.  What is another word for 1000 cm3 ?
 5.  What is the length of a cube which has a volume of one milliliter ?

ANSWERS:

                               POSTTEST
 Fill in the following chart by converting
 

milliliter
(ml)
liter
(l)
kiloliters  or cubic meter
(kl)
1.
1000
 
 
2.
 
6.5
 
3.
 
 
.5
4.
 
2
 
5.
1.5
 

 
 Fill in the following chart:
 
 
prefix and root
symbol
size
6.
 
kl
1000
7.
hectoliter
 
 
8.
 
dal
10
9.
deciliter
 
 
10.
 
cl
 
11.
milliliter
 
1/1000
 12. What is the volume of a box with height, length, and width equal to 1 cm ?
 13. What is the length of a cube with the volume of 1 liter ?
 14. What is the volume of a box with the height of 100 cm, a length of 10 cm, and a width of 5 cm ?
        Record your  value in liters.
 15. What is another name for 1 cm 3 or a cubic centimeter ?

Answers:

YOU ARE FINISHED WITH THE MAGICAL WORLD OF VOLUME.
BYE!
GO
FORTH
AND THINK  METRIC VOLUME
GO TO THE NEXT METRIC SYSTEM PACKET:
THINK METRIC MASS