Illustrated is a uniform cubical block of mass `M` and side `a` Mark the correct statement (s)

Options

A. The moment of inertia about axis `A`, passing through the centre of mass is `IA=1/6Ma^(2)`
B. The moment of inertia about axis `B`, which bisects one of the cube faces is `lB=5/12Ma^(2)`
C. The moment of inertia about axis `C`, along one of the cube edge is `IC=2/3Ma^(2)`
D. The moment of inertia about axis `D`, whch bhisects one of the horizontal cube face is `7/12`

Answer

A, B, C

Explanation

Parallel axis therorem, check the distasnce carefully.
`I_(D)=I_(B)("symmetric")`
`I_(B)=I_(A)+M(a/2)^(2)=5/12Ma^(2)`
`I_(C)=I_(A)+M(a/(sqrt(2)))^(2)=2/3Ma^(2)`