volume
TRANSCRIPT
VOLUME
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 cm2
Volume is a measure of 3 dimensions:
LENGTH, WIDTH, & HEIGHT
Imagine starting with a piece of rectangular paper.
3 cm
4 cm
The area of this rectangle is 12 square cmches
3 cm
4 cm
Now, suppose that we “stacked” another piece of paper on top of this
piece of paper.
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
Now we have 2 pieces of paper, each with an area of 12. So the
volume is 24.
3 cm
4 cm
Let’s add another piece of paper to the stack.
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
3 cm
4 cm
Now we have 3 pieces of paper, each with an area of 12. So the
volume is 36.
If we had 10 pieces of paper stacked on top of one another,
what would the volume be?
4 cm
3 cm
10
4 x 3 x 10 = 120 cm3
4 cm
3 cm
10
Practice Time!
Calculate the volume of this prism.
5 cm
8 cm6 cm
The volume is 240 cubic cm.6 x 5 x 8
5 cm
8 cm6 cm
Calculate the volume of this prism.
3 cm
12 cm5 cm
The volume is 180 cubic cm.5 x 3 x 12
3 cm
12 cm5 cm
Calculate the volume of this prism.
4 cm
11 cm7 cm
The volume is 308 cubic cm.7 x 4 x 11
4 cm
11 cm7 cm
Volume can also be described as AREA x Height
Suppose that the area of this rectangle is 12.
4
3
Suppose that this rectangle served as the base of a
rectangular prism.
Suppose that the prism has a height of 2.
2
2
2
If the area (length x width) of the base is 12, and the height is 2…
2
then the volume should be 24 cubic units.
2
SUMMARYVolume = Length x Width x Height
orVolume = Area of Base x Height
Practice Time!
1) Find the volume of the prism.
3 cm
3 cm
8 cm
The volume is 72 cm3.3 x 8 x 3
3 cm
3 cm
8 cm
2) Find the volume of the prism.
5 cm
5 cm
12 cm
The volume is 300 cm3.12 x 5 x 5
5 cm
5 cm
12 cm
3) Find the volume of the prism.
2.5 m
Area = 20 m2
base
base
Volume = area x heightVolume = 20 x 2.5 = 50 m3
2.5 m
Area = 20 m2
basebase
4) Find the volume of the prism.
14 m
Area = 12 m2
basebase
Volume = area x heightVolume = 12 x 14 = 168 m3
14 m
Area = 12 m2
base
base
5) Find the volume of the prism.
25 cm
Area = 15 cm2
basebase
Volume = area x heightVolume = 15 x 25 = 375 cm3
25 cm
Area = 15 cm2
basebase
6) Find the volume of the cylinder.
10 cm
Area = 78.5 cm2
base
base
Volume = area x heightVolume = 78.5 x 10 = 785 cm3
10 cm
Area = 78.5 cm2
base
base
7) Find the volume of shape.
12 m
Area = 36.2 m2
basebase
Volume = area x heightVolume = 36.2 x 12 = 434.4 m3
12 m
Area = 36.2 m2
basebase