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Volume is measured by how many cubic units it would take to fill
a given space.
The cube shaded green is
a cubic unit .
The amount of cubic units it takes to fill a defined space is
what we call volume .
The shown geometric solid is a rectangular prism .
To find the volume of any rectangular prism, we simply multiply the
length times the width times the height .
The length and the width of the rectangular prism are always at
the bottom of the shape.
These two dimensions make
up the base of the rectangular prism.
In this case the length is 4 in the width is 3.
Multiplying the length times
the width will give you the area of the prisms base .
This is a two dimensional measurement .
After multiplying the length times the width and getting the
area of the rectangular prisms base by multiplying it by the rectangular prisms
height that will give us the volume.
Multiplying the area of the
prisms base by the height is filling up the prism or adding depth .
This is what gives our rectangular prism a third dimension or
gives it volume.
We can clearly see when
multiplying the length times the width of the rectangular prism.
We come up with 12 square units which would be the area of the rectangular prisms base.
Remember this is only a two dimensional measurement.
To give a depth or volume
we must now multiply the area of the rectangular prism space of 12 by whatever
the height is to fill up the rectangular prism or to add depth or volume.
If we multiply the area of the base which is 12
by a height of 1 that would give us 12 cubic units which would be how many cubes it would
take to make one level of our rectangular prism.
Adding two levels of 12
we would get a total of 24 cubic units three levels of 12 would give us 36 four
levels of 12 give us 48 cubic units.
And of course five levels
of 12 would give us 60 cubic units.
We could say that each level of the rectangular prism contains
12 cubes.
There are five love twelve
cubes for a total of 60
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