# Volume by king0fpunjab

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• pg 1
```									Volume of Prisms

1) Defining Volume
2) Volume = lwh
3) Volume = Bh

Created by:
David W. Cummins
Volume is the space
We can begin by stacking
the cubic units occupies.
that a figure in the
bottom of the prism cubic
It is measured in                                      3units
units.
This prism holds 9 cubic
The volumebottom given
units in the of the layer.
cube can be found by
We can continue to stack                           3units
determining how many
these layers until the
cubic units will fit inside the   3units
prism is full.
cube.
This prism holds 3 layers of
9 cubic units for a total of       1 cubic unit
27 cubic units
1unit
V = 27 cubic units                       1unit
1unit
Another way to find the volume
of the prism is to use the
3units
h
formula
V = lwh
3units     where V is volume, l is length,
w        w is width, and h is height
3units
l                                  V = lwh
V = (3)(3)(3)
V = 27 cubic units

This formula works very well for rectangular prisms
Another way to find the volume
of the prism is to use the
3units
h
formula
V = Bh
3units    where V is volume, B is the
w       base area, and h is height
3units
l                                    V = Bh
Base Area
V = (9)(3)
B = lw
V = 27 cubic units
B = (3)(3)
B = 9 square units          This formula works very well for
non-rectangular prisms
Find the volume of this rectangular prism
OR
Since this is a       We could use
rectangular prism
we can use              V = Bh
7 in                       The base is a rectangle
V = lwh
we have:                B = lw

V = (5)(4)(7)           B = (5)(4)
4 in                                B = 20 in2
V = 140     in3
5 in
now we use V = Bh
V = (20)(7)
In this case it’s much easier to use
V = lwh                            V = 140 in3
Find the volume of this triangular prism
is a triangular
Since this BASE AREA prism we
must use
5 cm               B = 6 cm2
V = Bh
Now we use
since the base is a triangle we must
of Bh
find the areaV =the triangle first
using:
where h is the distance between
the bases.
B = (1/2)bh
4 cm                9 cm
(whereV = (6 cm2perpendicular)
b & h are )(9 cm)
B V = 54 cm3
= (1/2)(3)(4)
3 cm
B = (1/2)(12)
B = 6 cm2

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