maths-urgently needed

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The areas of the the three adjacent faces of a cuboid are 600 sq.cm 300sq.cm and 200 sq.cm.find the sum of the length,breadth and height of the cuboid ?

  • maths-urgently needed -

    let the dimensions be a , b, and c cm

    ab=600
    ac=300
    bc=200

    from ab=600 , b =600/a
    from ac=300 , c = 300/a

    from bc = 200
    (600/a)(300/a) = 200
    180000/a^2 = 200
    200a^2 = 180000
    a^2 = 900
    a = 30

    then b=300/30 = 20
    and c = 300/30 = 10

    the cuboid is 30 cm by 20 cm by 10 cm

  • maths-urgently needed -

    THANKS FOR THE ANSWER. :D

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