# VOLUME

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```					MEAP REVIEW: VOLUME
So far, we have learned
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

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