**5. **A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

**Solution: **

It is given to us that diameter of Hemisphere is equal to edge of cube

Radius of Hemisphere

Surface Area of Solid = Surface Area of 5 faces of cube + Inner Surface Area of Hemisphere + Blue Area on the Top Face ABCD

## (Area of Square ABCD - Area of Inscribed Circle in square ABCD)