Illustrated below 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 `IB=5/12Ma^(2)`
C. The moment of in nertia about axis `C`, along one of the cube edges is `IC=2/3 Ma^(2)`.
D. The moment of inertia about axis `D` which bisects one of the horizontal cube faces is `7/12 Ma^(2)`

Answer

A, B, C

Explanation

Using the parallel axis theorem, check the distance carefully. `I_D=I_B` (symmetric)
`I_A=I_B+m(a/2)^2=5/12Ma^2`
`I_C=I_A+M(a/sqrt2)^2=2/3Ma^2`