With reference to figure of a cube of edge a and mass m, which of the following is the correct statement? (O is the centre of the cube)

As z axis is parallel to z' axis and distance between them = a22 = a2By the theorem of parallel axis,Iz' = Iz + m(a2)2 = IZ + ma22Hence, option (1) correct.z and z'' are not parallel axes. Hence, option (2) is incorrect.By symmetry, Ix = Iy. Hence, option(3) is not correct. Again  IX = 1/6 ma2 +m(a/2)2 =5/12 ma2 and Iz =1/6 ma2.So option (4) is wrong.