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).