Crazy Cube Geometry !

Level pending

A cube with side \( 10m \) is drilled through two of its adjacent faces of its lateral sides . It makes a deep hole through the cube in the shape of a square of side \( 6m \) as shown \[\]

\[\] Let \(T\) and \(V\) be its total surface area and volume respectively ,

If \( \dfrac{T}{V} \) can be written in the form \( \dfrac{a}{b} \) , where \(a\) and \(b\) are coprime,

Find \(a + b\) .


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