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ManualsBrandsLearning Resources ManualsMusical Toy InstrumentLearning Resources Learning Resources, Inc. Musical Toy Instrument LER 7630
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Hexagonal Prism
Volume
hexagonal prism
= A x H
Identify the variables:
A = Area of the hexagonal base
H = Height of the prism
Explain that the area for a hexagon is
calculated as follows:
A = w x
3
/
2
s
Identify the variables:
w = Width of hexagon as shown
s = Length of side
Cylinder
Volume
cylinder
= A x H
= (π r
2
) x H
Pyramid
Introduce the general formula for finding the volume of a pyramid:
Volume
pyramid
=
1
/
3
A x H
Ask students to identify the difference between this general formula and the
one for the prism. (There is one more variable:
1
/
3
.) If students remember a
volume formula for a prism, it is easy to remember the volume formula for a
pyramid with the same-size base and height: simply multiply by
1
/
3
. You can
demonstrate this concept by pouring
three filled pyramids into the
corresponding prism in the Power
Solid set.
Square Pyramid
Volume
square pyramid
=
1
/
3
A x H
=
1
/
3
(s x s) x H
7
H
s
s
w
H
r
s
H