cuerpos y figur as geometric as
TRANSCRIPT
7/26/2019 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