Estimate the moment of inertia of a die along an axis that passes through one of the die's edges **in \(g~cm^2\)**. The mass of the die is \(m=30~\mbox{g}\) and the length of each edge is \(a=1~\mbox{cm}\).

**Details and assumptions**

Assume that the die is a perfect cube and its mass is evenly distributed.

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