Learning Resources LRM320B-GUD Pyram id, Quare Pyrami d, Triangul ar Py ramid = a ⋅ H, ⋅ h ⋅ H

Models: LRM320B-GUD

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= (πr2) H

Pyram id

 

 

 

 

 

 

 

 

Introduce the general formula for finding the volume of a pyramid.

 

 

 

 

Volum epyramid = ￿￿A H

 

 

 

 

 

 

 

 

Ask students to identify the difference between this general formula and the one

for the prism. (There is one more variable: ￿￿.) 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

 

 

 

 

 

 

 

H

 

 

 

 

 

 

height: simply multiply by ￿￿. You

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

can demonstrate this concept by pouring

 

 

 

 

 

 

 

 

three filled pyramids into the

w

 

l

 

 

 

 

corresponding prism in the Geometric

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Shapes set.

 

 

 

 

 

 

 

 

S quare Pyrami d

 

 

 

 

 

H

Volum esquare pyramid = ￿￿A H

 

 

 

 

 

 

 

 

 

 

= ￿￿(l w) H

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b h

 

 

 

 

 

 

 

Triangul ar Py ramid

= ￿￿A H

Volum etriangular pyramid

 

=

￿￿(￿￿b

h) H

Cone

H

 

 

Volum econe = ￿￿A

H

 

= ￿￿(πr2)

 

__

_

_

_

_

_

r_

_ _ _

r

_

_

_

_ _

H

S phere

Volum esphere = ￿￿πr3

___

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_

_

r_

_

_

_

_

_

_

_ _ _

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Learning Resources LRM320B-GUD manual Pyram id, Quare Pyrami d, Triangul ar Py ramid = a ⋅ H, ⋅ h ⋅ H