Download - Brunovolumes7ºAno
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VOLUMES
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Prof. Bruno Bastos
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Prof. Bruno Bastos
O volume de um sólido é a quantidade de espaço que o sólido ocupa.
Definição:
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Prof. Bruno Bastos
CUBO
l
l l
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Prof. Bruno Bastos
CUBO
l
l l
VOLUME
aAV basecubo
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Prof. Bruno Bastos
CUBO
l
l l
VOLUME
aaaV )(cubo
aAV basecubo
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Prof. Bruno Bastos
CUBO
l
l l
VOLUME
aaaV )(cubo
3cubo aV
aAV basecubo
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Prof. Bruno Bastos
CUBO
l
l l
VOLUME
aaaV )(cubo
3cubo aV
aAV basecubo
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Prof. Bruno Bastos
CUBO
h
c
l
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Prof. Bruno Bastos
CUBO
VOLUME
hAV baseprismah
c
l
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Prof. Bruno Bastos
CUBO
VOLUME
hlcV )(prisma
hAV baseprisma
h
c
l
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Prof. Bruno Bastos
CUBO
VOLUME
hlcV )(prisma
hAV baseprisma
h
c
l
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Prof. Bruno Bastos
PIRÂMIDE
h
l
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Prof. Bruno Bastos
PIRÂMIDE
h
l
VOLUME
hAV basepirâmide 3
1
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Prof. Bruno Bastos
PIRÂMIDE
h
l
VOLUME
hAV basepirâmide 3
1
hllV )(3
1pirâmide
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Prof. Bruno Bastos
PIRÂMIDE
h
l
VOLUME
hAV basepirâmide 3
1
hllV )(3
1pirâmide
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Prof. Bruno Bastos
PIRÂMIDES
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Prof. Bruno Bastos
PIRÂMIDES
Seja qual for a pirâmide (base triangular, quadrangular, pentagonal, hexagonal, …) a fórmula para calcular o volume é sempre:
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Prof. Bruno Bastos
PIRÂMIDES
Seja qual for a pirâmide (base triangular, quadrangular, pentagonal, hexagonal, …) a fórmula para calcular o volume é sempre:
hAV basepirâmide 3
1
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Prof. Bruno Bastos
RELAÇÃO ENTRE PIRÂMIDE E PRISMA
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Prof. Bruno Bastos
RELAÇÃO ENTRE PIRÂMIDE E PRISMA
++
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Prof. Bruno Bastos
RELAÇÃO ENTRE PIRÂMIDE E PRISMA
++ =
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Prof. Bruno Bastos
RELAÇÃO ENTRE PIRÂMIDE E PRISMA
++ =
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Prof. Bruno Bastos
RELAÇÃO ENTRE PIRÂMIDE E PRISMA
++ =
O volume da pirâmide é do volume do prisma.3
1
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Prof. Bruno Bastos
CILINDRO
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Prof. Bruno Bastos
CILINDRO
VOLUME
hAV basecilindro
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Prof. Bruno Bastos
CILINDRO
VOLUME
hAV basecilindro
hrV )( 2cilindro
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Prof. Bruno Bastos
CILINDRO
VOLUME
hAV basecilindro
hrV )( 2cilindro
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Prof. Bruno Bastos
CONE
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Prof. Bruno Bastos
CONE
VOLUME
hAV basecone 3
1
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Prof. Bruno Bastos
CONE
VOLUME
hrV )(3
1 2cone
hAV basecone 3
1
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Prof. Bruno Bastos
CONE
VOLUME
hrV )(3
1 2cone
hAV basecone 3
1
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Prof. Bruno Bastos
RELAÇÃO ENTRE CONE E CILINDRO
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Prof. Bruno Bastos
RELAÇÃO ENTRE CONE E CILINDRO
++
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Prof. Bruno Bastos
RELAÇÃO ENTRE CONE E CILINDRO
++ =
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Prof. Bruno Bastos
RELAÇÃO ENTRE CONE E CILINDRO
++ =
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Prof. Bruno Bastos
RELAÇÃO ENTRE CONE E CILINDRO
++ =
O volume do cone é do volume do cilindro.3
1
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Prof. Bruno Bastos
ESFERA
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Prof. Bruno Bastos
ESFERA
VOLUME
3
4 3
esfera
rV
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Prof. Bruno Bastos
ESFERA
VOLUME
3
4 3
esfera
rV
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Prof. Bruno Bastos
VOLUMES
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Prof. Bruno Bastos
VOLUMES
l
l l
3lV
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Prof. Bruno Bastos
VOLUMES
l
l l
hAV base3lV
h
c l
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Prof. Bruno Bastos
VOLUMES
h
l
l
l l
hAV base3
1hAV base
3lV
h
c l
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Prof. Bruno Bastos
VOLUMES
h
l
l
l l
hAV base3
1hAV base
3lV
h
c l
hAV base
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Prof. Bruno Bastos
VOLUMES
h
l
l
l l
hAV base3
1hAV base3
1hAV base
3lV
h
c l
hAV base
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Prof. Bruno Bastos
VOLUMES
h
l
l
l l
3
4 3rV
hAV base3
1hAV base3
1hAV base
3lV
h
c l
hAV base
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FIM