VOLUME

							MEAP REVIEW: VOLUME
So far, we have learned
about length. This is a
measure of 1 dimension.
  Measuring length can be as
simple as measuring a straight
        line segment.



           5 inches
 When you measure perimeter,
 you are also measuring length.


5 ft                 5 + 4 + 3 = 12 ft
              4 ft


       3 ft
Area is a measure of 2
    dimensions:
  Length & Width
   You can find the area of any
         FLAT shape.


5 cm

              11 cm
       5 x 11 = 55 square cm
Volume is a measure of 3
     dimensions:
 LENGTH, WIDTH, &
      HEIGHT
Imagine starting with a piece
   of rectangular paper.


  4 in



         3 in
The area of this rectangle is
     12 square inches


  4 in



         3 in
  Now, suppose that we “stacked”
another piece of paper on top of this
           piece of paper.

      4 in



             3 in
4 in



       3 in
4 in



       3 in
4 in



       3 in
4 in



       3 in
Now we have 2 pieces of paper,
each with an area of 12. So the
        volume is 24.

   4 in



          3 in
Let’s add another piece of paper to
            the stack.


    4 in



           3 in
4 in



       3 in
4 in



       3 in
4 in



       3 in
4 in



       3 in
4 in



       3 in
Now we have 3 pieces of paper,
each with an area of 12. So the
        volume is 36.

   4 in



          3 in
If we had 100 pieces of paper
stacked on top of one another,
 what would the volume be?
100

                       4 in



           3 in
      4 x 3 x 100 = 1200

100

                      4 in



           3 in
What are the units for volume?
  Now that we are working with
all 3 dimensions, the units are cubes.
This is 1 cubic inch.
      1x1x1


                   1 in

               1 in
      1 in
This is 2 cubic inches.
       2x1x1


                    1 in

                1 in
   2 in
This is 4 cubic inches.
       2x1x2


                       2 in



                1 in
   2 in
8 cubic inches 2 x 2 x 2



                           2 in



                   2 in
    2 in
Calculate the volume of this
           prism.



6 cm
                 8 cm
       5 cm
The volume is 240 cubic cm.
         6x5x8



6 cm
                 8 cm
       5 cm
Calculate the volume of this
           prism.



5 cm
                 12 cm
       3 cm
The volume is 180 cubic cm.
        5 x 3 x 12



5 cm
                12 cm
       3 cm
Calculate the volume of this
           prism.



7 cm
                 11 cm
       4 cm
The volume is 308 cubic cm.
        7 x 4 x 11



7 cm
                11 cm
       4 cm
         SUMMARY
Volume = Length x Width x Height
Practice Time!
1) Find the volume of the prism.




      3 cm           8 cm


             3 cm
The volume is 72 cm3.
      3x8x3



  3 cm          8 cm


         3 cm
2) Find the volume of the prism.




       5 in          12 in


              5 in
The volume is 300 in3.
     12 x 5 x 5



  5 in          12 in


         5 in
        Classwork!
Complete the Volume Practice
          Handout