CALCULOS

EMPAQUE CUBICO

V esf=Volumendeesfera

V total=Volumen total

V poro=Volumen de poro

D=Diametro

R=Radio

Θ=angulo de inclinación

Φ=porosidad

D =1.52cm

R=0.76cm

Ѳ=90º

VEsf=npepas( 43∗π R3)

Φ=V poro/V total

Φ=2890,99526068,4042

Φ=0,47464VEsf=12∗( 43∗π∗0.763)=3177,4090 cm3

V total=(24∗R)3

V total= (24∗0.76 )3=6068,4042

V poro=V total∗V es f

V poro=6068.4042∗3177,4409=28,9952cm3

EMPAQUE EXAGONAL U ORTOGONAL

Ѳ=60º

V esf=npepas( 43 π R3)=3177,4090 cm3V total=A∗B∗C

A=24*R*Cos30º =24*0.76*Cos30º

A=15,7963

V total=A∗(24∗R )∗(24∗R)

¿15,7963∗(24∗0,76 )∗(24∗0,76)

V total=5255,3910cm3

V poro=V total−V es f

V poro=5255,3910−3177,4090

V poro=2077,982cm3

∅=V poro

V esf

∅= 2077,9825255,3910

=0,3954

EMPAQUE ROMBOEDRICO

VEsf=¿npepas (

43π R3)¿

V Esf=¿3177,4409 cm3¿

V total=A∗B∗C

A=24∗R∗cos45

A=12,8976 cm

V total=A∗(24∗R )∗(24∗R)

V total=12,8976∗(24∗0,76 )∗(24∗0,76)

V total=4291,0005cm3

V poro=V total−V es f

V poro=4291,0005−3177,4090

V poro=1113,5915 cm3

∅=V poro

V esf

∅= 1113,59154291,0005

∅=0,2595