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Cube from its face or space diagonal: total surface area

This type of question, asked 2 times: CDS 2 2018, CDS 1 2026. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2018

    81
    If the diagonal of a cube is of length ll, then the total surface area of the cube is

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  2. Question 2

    CDS 1 2026

    47
    Let x be the length of a diagonal of a face of a cube and y be the length of a diagonal of the cube. If x+y=(5+26)x + y = (5 + 2\sqrt{6}) units, then what is the total surface area of the cube ?

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