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Cuboid with integer (consecutive or prime) dimensions from its volume: total surface area

This type of question, asked 2 times: CDS 2 2025, CDS 1 2026. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2025

    64
    The length, breadth and height of a cuboid are consecutive integers. If the volume of the cuboid is 336 cubic units, then what is the total surface area of the cuboid?

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  2. Question 2

    CDS 1 2026

    70
    Let x, y, z (all prime) be the length, breadth and height respectively of a cuboid with x>y>zx > y > z. The volume of the cuboid is 30k330k^3 cubic units, where k is a natural number. What is the total surface area of the cuboid ?

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