Cuerpos y Figur as Geometric As

37
Emiliano Romero Marcos Bustamante Profesor: Hugo Valderrey

Transcript of Cuerpos y Figur as Geometric As

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Emiliano Romero

Marcos BustamanteProfesor: Hugo Valderrey

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Triángulo

  Altura

L2

L1

L3

  • Área• Perímetro

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Rectngulo

!Área !Perímetro

L1

L"

L3

L#

Altura

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$ircunferencia 

!Área

!Perímetro

Radi

o

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$u%o 

a

! Área 

! Volumen

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 $ilindro 

R

&

! Área! Volum

en

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Esfera

!Área

!Volumen

R

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$ono

R

&g

!Área

!Volumen

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Pirmide

!Área

!Volumen

A'otema de

la'irmide

A'ote

ma de

Altura

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Prisma

!Área

!Volumen

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$ono truncado

g &

r

r( !Área

!Volumen

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Pirmide truncada

a'ote

ma!Área

!Volumen

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Área

)ormula 'ara calcular el rea

de la 'irmide truncadaAlat * semisuma de los

'erímetros de las %ases +a'otema

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Volumen

El ,olumen de un tronco- cuyas%ases son 'aralelas y tienen

su'er.cies B y B( - y cuyaaltura es &- se o%tienemediante la formula siguiente

 V * / B 0 B( + &23'. B B

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Área 

)ormula 'ara calcular el rea

de un 'risma  A * rea lateral 0 " +rea de la %ase

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Volumen

)ormula 'ara calcular el

,olumen de un 'rismaV * rea de la %ase +

altura

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Área 

)ormula 'ara calcular el rea

de un cono truncado  Alat * + / r 0r( + g

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Volumen 

)ormula 'ara calcular el

,olumen de un conotruncado

  V * 4 + / r" 0 r(" 0

rr( + &23

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Área

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Perímetro

)5rmula 'ara calcular el'erímetro del triangulo:

L1 0 L" 0 L3 *

Perímetro

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rea

)5rmula 'ara calcular el

rea de un cuadriltero

L1 + L" * A

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Perímetro 

)5rmulas 'ara calcular el'erímetro de un cuadriltero

L10 L" 0 L30 L# * P

6

L + # * P

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Área 

)5rmula 'ara calcular el reade un rectngulo

B + H * A

6

L1 + L" * A

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Perímetro 

)5rmula 'ara calcular el'erímetro de un rectngulo 

L10 L" 0 L3 0 L# * P

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Perímetro 

)5rmula 'ara calcular el'erímetro de unacircunferencia

"4 + R * P

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Área

)5rmula 'ara calcular el reade una circunferencia

  A = П . R 2

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Área

)5rmula 'ara calcular elrea de un cu%o

A * 7a" 

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Volumen

)5rmula 'ara calcular el,olumen de un cu%o

V * a3 

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Área

)5rmula 'ara calcular el reade un cilindro

A * " R & 0 "4 R"

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Volumen 

)5rmula 'ara calcular el,olumen de un cilindro

V * R" &

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Área 

)5rmula 'ara calcular el reade una esfera

A * # R" 

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Volumen

)5rmula 'ara calcular el,olumen de una esfera

V * #23 4 R3

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Área

)ormula 'ara calcular el reade un cono

A * 4 r g 0 4 r" 

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Volumen 

)ormula 'ara calcular el,olumen de un cono

V * 123 r" &

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Área 

)ormula 'ara calcular el reade una 'irmide

Atot * Alat 0 A%ase

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,olumen

)5rmula 'ara calcular el,olumen de una 'irmide

V * 123A%ase + Altura