49. Exemplar Exercise Problems XXXIV

A pen stand made of wood is in the shape of a cuboid with four conical depressions and a cubical depression to hold the pens and pins, respectively. The dimension of the cuboid are \(10\) \(cm\), \(5\) \(cm\) and \(4\) \(cm\). The radius of each of the conical depressions is \(0.5\) \(cm\) and the depth is \(2.1\) \(cm\). The edge of the cubical depression is \(3\) \(cm\). Find the volume of the wood in the entire stand.

 

Volume of wood in the entire stand \(=\) \(cm^3\)