A hemispherical depression is taken out from a cube with the side ‘2a’. The total surface area of the solid is __________.

Total Surface Area = TSA of cube – Area of hemisphere base + CSA of Hemisphere

⇒ 6(2a)² – πr² + 2πr² [1]

Here, diameter of hemisphere = side of cube = 2a

⇒ radius of hemisphere = 1/2 × diameter = ‘a’

Simplifying equation [1] and putting r = ‘a’, we have

⇒ Total Surface Area = 24a² + πa²