A uniform rectangular block has mass M and sides 2a, 2b and 2c. Find the principal moments of inertia of the block (i) at its centre of mass, (ii) at the centre of a face of area 4ab. Find the moment of inertia of the block (i) about a space diagonal, (ii) about a diagonal of a face of area 4ab.

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A uniform rectangular block has mass M and sides 2a, 2b and 2c. Find the principal moments of inertia of the block (i) at its centre of mass, (ii) at the centre of a face of area 4ab. Find the moment of inertia of the block (i) about a space diagonal, (ii) about a diagonal of a face of area 4ab. 

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