VOLUME

1
Volume of a Prism
Remember Prisms are 3 dimensional shapes that
have a constant cross-sectional area.
Triangular-based prism
Pentagonal-based prism
Rectangular-based prism
Cylinder
Hexagonal-based prism
Circular-based prism
Octagonal-based prism
2
VOLUME of a PRISM

• Volume AREA of BASE x Height

3
Prisms
The volume of any prism is simply its area
(base) x height VAbH
a
b
100 cm2
2 m
9 m2
9 cm
V 9 x 2 18 m3
V 100 x 9 900 cm3
c
60 mm2
DiagramsNot to scale
V 60 x 3 180 mm3
3 mm
4
DiagramsNot to scale
Find the volume of the following prisms.
In each of the following examples the
cross-sectional ends have to be calculated.
1
2
8 cm
1.5 m
2 m
4 cm
4 m
9 cm
V 4 x 1.5 x 2 12 m3
V ½ (9 x 8) x 4 144 cm3
3
6 mm
7 mm
5 mm
8 mm
V ½ (8 6) x 7 x 5 245 mm3
5
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6
The Volume of a Cylinder
Calculate the volume of the following cylinders.
1
2
2 m
3 cm
15 m
V ?r2h ? x 22 x 15
188.5 m3
10 cm
3
4.2mm
V ?r2h ? x 32 x 10
282.7 cm3
9.2 mm
V ?r2h ? x 4.62 x 4.2 279.2 mm3