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.

Given:
Diameter of hemisphere = Edge of the cube = l
Radius of hemisphere r = l/2
Total surface area of solid = Surface area of cubical part + Closed Surface of hemisphere part - Area of base of hemispherical part
= 6(Edge)² + 2πr² - πr²
= 6(Edge)² + πr²
Total surface area of solid = 6l² + π × (l/2)²
= 6l² + πl²/4
= l²(6 + π/4)
= (24 + π)l²/4 sq. units