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Cuboid melted into 8 equal cubes: lateral surface area of some of the cubes

This type of question, asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    27
    A solid metallic cuboid of dimensions 12 cm ×\times 54 cm ×\times 72 cm is melted and converted into 8 cubes of the same size. What is the sum of the lateral surface areas (in cm2\text{cm}^2) of 2 such cubes?

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  2. Question 2

    3 Feb 2022 Tier II

    4
    The areas of three adjacent faces of a cuboidal solid block of wax are 216 cm2216\ \text{cm}^2, 96 cm296\ \text{cm}^2 and 144 cm2144\ \text{cm}^2. It is melted and 8 cubes of the same size are formed from it. What is the lateral surface area (in cm2\text{cm}^2) of 3 such cubes?

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