Question

    A cube of volume 768 cm³ is molded into a cuboid whose

    length, width, and height are in the ratio 3: 2: 2. Find the length of the cuboid.
    A 7.5 cm Correct Answer Incorrect Answer
    B 6 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D 9 cm Correct Answer Incorrect Answer

    Solution

    Ratio of length, width, and height =3:2:2 Let length =3x, width =2x, height =2x. Volume of cuboid =l×b×h 3x ×2x×2x =768 12x3 =768 x3 =64 x = 4cm now the length of the cuboid =3×4 =12cm

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