Question

    The ratio of a closed cuboid's length, width, and height

    is 4: 3: 3. The total surface area of this cuboid is 1056 cm 2 . Find the volume (in cm 3 ) of this cuboid. 
    A 1331 Correct Answer Incorrect Answer
    B 1728 Correct Answer Incorrect Answer
    C 2304 Correct Answer Incorrect Answer
    D 4500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The ratio of the l, b, and h = 4:3:3 l = 4x b = 3x h = 3x Surface area of cuboid = 2(lb +bh +hl)  1056 = 2(12x2+9x2+12x2) 528 = 33x2 x= 16 x = 4 So now the volume of the cuboid = 36×64=2304 cubic cm

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