Find the mass $of$ the solid bounded $by$ the planes $x+z=1,x-z=-1,y=0,$ and the surface $y=\sqrt[\phantom{2}]{z}.$ The density $of$ the solid $is(x,y,z)=8y+8\frac{kg}{m^3}.$

The mass $of$ the solid $is$

$.$

$(Typean$ integer $or$ a simplified fraction.$)$