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Cuboid with sides in a given ratio: volume or a side

This type of question, asked 2 times: 24 Sep 2024 S3, 19 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    24 Sep 2024 S3

    67
    The ratio of the length, the breadth, and the height of a solid cuboid is given as 3 : 2 : 1, and the breadth of this cuboid is given as 12 cm. Find the volume (in cm3\text{cm}^3) of the cuboid.

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  2. Question 2

    19 Sep 2025 S1

    62
    The sides of a rectangular prism are in the ratio 4:5:6. If the volume of the prism is 960 cm3960\ \text{cm}^3 what is the length of its longest side?

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