The volume of the composite solid is the total volume of the cube and the hemisphere.
a = side.
V(cube) = a x a x a = 8 x 8 x 8 = 512 (cm3)
V(hemisphere) = 2/3
r
(r = 1/2a in this case) = 2/3 x 64 x
= 128/3

Therefore, the total volume = 8/3
+ 512 = 646.0 (cm3) (nearest tenth)