A uniform solid cube of mass M has edge length a. The moment of inertia of the cube about its face diagonal will be

Question

A uniform solid cube of mass M has edge length a. The moment of inertia of the cube about its face diagonal will be (A) (√3/2) M a2 (B) (1/2) M a2 (C) (5/12) M a2 (D) (7/12) M a2

Tardigrade Admin · Accepted Answer

Correct answer is (c) (5/12) M a2

Q. A uniform solid cube of mass $M$ has edge length $a$ . The moment of inertia of the cube about its face diagonal will be

$\frac{3}{2} M a^{2}$

$\frac{1}{2} M a^{2}$

$\frac{5}{12} M a^{2}$

$\frac{7}{12} M a^{2}$

Correct answer is (c) $\frac{5}{12} M a^{2}$

Q. A uniform solid cube of mass M has edge length a. The moment of inertia of the cube about its face diagonal will be

23​​Ma2

21​Ma2

125​Ma2

127​Ma2