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y si 2a+2b+2c=18
entonces a+b+c=9
uso ese dato
(a+b+c)-(a+b)=c
9-6=3
c=3
(a+b+c)-(b+c)=a
9-6=3
a=3
(a+b+c)-(a+c)=b
9-6=3
b=3
ya tenemos los valores de a,b y c
ahora multiplico
a*b*c=3*3*3=27
por eso
a*b*c=27