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    Question

    The length, breadth and height of a cuboid are in ratio

    of 3 : 4 : 5. If the volume of the cuboid is 1620 m3 , find the total surface area of the cuboid.
    A 646 m┬▓ Correct Answer Incorrect Answer
    B 846 m┬▓ Correct Answer Incorrect Answer
    C 423 m┬▓ Correct Answer Incorrect Answer
    D 712 m┬▓ Correct Answer Incorrect Answer

    Solution

    Volume = length ├Ч breadth ├Ч height 1620 = 3x ├Ч 4x ├Ч 5x тЗТ 1620 = 60x3 тЗТ x3┬а= 27 тЗТ x = 3 Length = 3x = 3 ├Ч 3 = 9 m Breadth = 4x = 4 ├Ч 3 = 12 m Height = 5x = 5 ├Ч 3 = 15 m Total surface area = 2(lb + bh + hl) тЗТ Total surface area = 2(9 ├Ч 12 + 12 ├Ч 15 + 15 ├Ч 9) тЗТ Total surface area = 2(108 + 180 + 135) тЗТ Total surface area = 2(423) тЗТ Total surface area = 846 m2

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