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    Question

    If the areas of three adjacent faces of a rectangular

    box which meet in a corner are 12cm2, 15cm2 and 20cm2 respectively. Then the volume of the box is
    A 3600 cm^3 Correct Answer Incorrect Answer
    B 300 cm^3 Correct Answer Incorrect Answer
    C 60 cm^3 Correct Answer Incorrect Answer
    D 180 cm^3 Correct Answer Incorrect Answer

    Solution

    let length , breadth , height be l, b, h respectively l ├Ч b = 12 ------------- eq 1 b ├Ч h = 15---------------eq2 h ├Ч l = 20----------------eq3 multiply eq 1 by eq2 and dividing eq3 we get (l├Чb├Чb├Чh)/ h├Чl = b2 = (12├Ч15)/20 b = 3 from eq 1 we get l = 4 from eq 2 we get h = 5 volume of the cuboid = l ├Ч b ├Ч h = 3 ├Ч 4 ├Ч 5 = 60 cm3 ┬а

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