formulario cuerpos geometricos
TRANSCRIPT
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8/2/2019 Formulario Cuerpos Geometricos
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FRMULAS DE LAS REAS Y VOLMENES DE LOS CUERPOS GEOMTRICOS
Cuerpos rea total (AT) rea lateral (AL) rea base/s (AB) Volumen (V)
PRISMAS RECTOS
h
ORTOEDRO
cb
aCUBO
a
AT = AL + 2AB
AT = 2ab+2ac+2bc
AT = 6a2
AL = PB h
AL = 2ac+2bc
AL = 4a2
b a (1)
2AB = l
2 (2)
P ap (3)2
AB = 2ab
AB = 2a2
V = AB h
V = abc
V = a3
PIRMIDESRECTAS
aph
TRONCO DEPIRMIDE
Bm
BM
AT = AL + AB
AT = AL+ABM+ABm
AL =P apB
2
AL =( )B b a
n+
2
b a (1)2
AB = l2 (2)
P ap (3)2
AB = igual que en lapirmide
V AB= 1
3h
VA hB
=
3
CILINDROr
h g
AT = AL + 2AB
AT = 2rg + 2r2
AL = 2rg AB = r2
V = r2 h
CONO
g h r
TRONCO DE CONOr
gR
AT = AL + AB
AT = rg + r2
AT=g(R+r)+R2+r2
AL = rg
AL = g(R+r)
AB = r2
ABM = R2
ABm = r2
V =1
32
r h
V =r h2
3
ESFERA
r A = 4r2
V =4
33
r
(1) Base triangular (b=base, a=altura). (2) Base cuadrada (l=lado). (3) Polgono regular (P=permetro, ap=apotema).