I have a doubt in this question
why are we subtracting in the base area as we know that CSA of hemisphere actually means the area of hemisphere without base
Already the base is excluded as we are adding only CSA of hemisphere then again y minus base area

I don't need answer just y need to add base area

Dear Student

We are subtracting the base area because the area there is the part of cube which is covered so we have to exclude that area of cube for getting the surface area of the object. 
Hence area of object is = (Total Surface Area of cube - Area of the covered base by hemisphere) + Curved Surface Area of Hemisphere. 


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