Why I am getting a different answers when i am solving from 2d and 3d perspective??

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This a very simple question from surface area and volume so the question is:

A cube of maximum possible size is cut from a hemisphere of radius sqrt 6 cm. One identical cube is placed next to this cube to form a cuboid. Find the total surface area in cm² of the cuboid?

But when I am solving this question from 2d perspective I am getting 120 cm² as the answer but If you will try to solve this question from 3d perspective you will get 40 cm² as the final answer which is correct why these two answers different? And which one is correct?

Visual representation of  the 2d and 3d view