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 $=$ $cm^3$