VOLUME

1
VOLUME
2
Area is a measure of 2 dimensions Length Width
3
You can find the area of any FLAT shape.
5 cm
11 cm
5 x 11 55 square cm
4
Volume is a measure of 3 dimensions LENGTH,
WIDTH, HEIGHT
5
Imagine starting with a piece of rectangular
paper.
4 in
3 in
6
The area of this rectangle is 12 square inches
4 in
3 in
7
Now, suppose that we stacked another piece of
paper on top of this piece of paper.
4 in
3 in
8
4 in
3 in
9
4 in
3 in
10
4 in
3 in
11
4 in
3 in
12
Now we have 2 pieces of paper, each with an area
of 12. So the volume is 24.
4 in
3 in
13
Lets add another piece of paper to the stack.
4 in
3 in
14
4 in
3 in
15
4 in
3 in
16
4 in
3 in
17
4 in
3 in
18
4 in
3 in
19
Now we have 3 pieces of paper, each with an area
of 12. So the volume is 36.
4 in
3 in
20
If we had 100 pieces of paper stacked on top of
one another, what would the volume be?
100
4 in
3 in
21
4 x 3 x 100 1200
100
4 in
3 in
22
What are the units for volume?
23
Now that we are working with all 3 dimensions,
the units are cubes.
24
This is 1 cubic inch.1 x 1 x 1
1 in
1 in
1 in
25
This is 2 cubic inches.2 x 1 x 1
1 in
1 in
2 in
26
This is 4 cubic inches.2 x 1 x 2
2 in
1 in
2 in
27
8 cubic inches 2 x 2 x 2
2 in
2 in
2 in
28
Calculate the volume of this prism.
6 cm
8 cm
5 cm
29
The volume is 240 cubic cm. 5 x 8 x 6
6 cm
8 cm
5 cm
30
Calculate the volume of this prism.
5 cm
12 cm
3 cm
31
The volume is 180 cubic cm.3 x 12 x 5
5 cm
12 cm
3 cm
32
Calculate the volume of this prism.
7 cm
11 cm
4 cm
33
The volume is 308 cubic cm.4 x 11 x 7
7 cm
11 cm
4 cm
34
SUMMARYVolume Length x Width x Height
35
Practice Time!
36
1) Find the volume of the prism.
3 cm
8 cm
3 cm
37
The volume is 72 cm3.3 x 8 x 3
3 cm
8 cm
3 cm
38
2) Find the volume of the prism.
5 in
12 in
5 in
39
The volume is 300 in3.12 x 5 x 5
5 in
12 in
5 in
40
THE END!