Download - Volume
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VOLUME
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Area is a measure of 2 dimensions:
Length & Width
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You can find the area of any FLAT shape.
5 cm
11 cm
5 x 11 = 55 cm2
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Volume is a measure of 3 dimensions:
LENGTH, WIDTH, & HEIGHT
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Imagine starting with a piece of rectangular paper.
3 cm
4 cm
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The area of this rectangle is 12 square cmches
3 cm
4 cm
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Now, suppose that we “stacked” another piece of paper on top of this
piece of paper.
3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
Now we have 2 pieces of paper, each with an area of 12. So the
volume is 24.
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3 cm
4 cm
Let’s add another piece of paper to the stack.
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
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3 cm
4 cm
Now we have 3 pieces of paper, each with an area of 12. So the
volume is 36.
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If we had 10 pieces of paper stacked on top of one another,
what would the volume be?
4 cm
3 cm
10
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4 x 3 x 10 = 120 cm3
4 cm
3 cm
10
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Practice Time!
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Calculate the volume of this prism.
5 cm
8 cm6 cm
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The volume is 240 cubic cm.6 x 5 x 8
5 cm
8 cm6 cm
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Calculate the volume of this prism.
3 cm
12 cm5 cm
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The volume is 180 cubic cm.5 x 3 x 12
3 cm
12 cm5 cm
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Calculate the volume of this prism.
4 cm
11 cm7 cm
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The volume is 308 cubic cm.7 x 4 x 11
4 cm
11 cm7 cm
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Volume can also be described as AREA x Height
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Suppose that the area of this rectangle is 12.
4
3
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Suppose that this rectangle served as the base of a
rectangular prism.
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Suppose that the prism has a height of 2.
2
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2
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2
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If the area (length x width) of the base is 12, and the height is 2…
2
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then the volume should be 24 cubic units.
2
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SUMMARYVolume = Length x Width x Height
orVolume = Area of Base x Height
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Practice Time!
![Page 39: Volume](https://reader035.vdocument.in/reader035/viewer/2022062513/556293e3d8b42a68128b4f7b/html5/thumbnails/39.jpg)
1) Find the volume of the prism.
3 cm
3 cm
8 cm
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The volume is 72 cm3.3 x 8 x 3
3 cm
3 cm
8 cm
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2) Find the volume of the prism.
5 cm
5 cm
12 cm
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The volume is 300 cm3.12 x 5 x 5
5 cm
5 cm
12 cm
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3) Find the volume of the prism.
2.5 m
Area = 20 m2
base
base
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Volume = area x heightVolume = 20 x 2.5 = 50 m3
2.5 m
Area = 20 m2
basebase
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4) Find the volume of the prism.
14 m
Area = 12 m2
basebase
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Volume = area x heightVolume = 12 x 14 = 168 m3
14 m
Area = 12 m2
base
base
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5) Find the volume of the prism.
25 cm
Area = 15 cm2
basebase
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Volume = area x heightVolume = 15 x 25 = 375 cm3
25 cm
Area = 15 cm2
basebase
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6) Find the volume of the cylinder.
10 cm
Area = 78.5 cm2
base
base
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Volume = area x heightVolume = 78.5 x 10 = 785 cm3
10 cm
Area = 78.5 cm2
base
base
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7) Find the volume of shape.
12 m
Area = 36.2 m2
basebase
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Volume = area x heightVolume = 36.2 x 12 = 434.4 m3
12 m
Area = 36.2 m2
basebase