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Activity Discussion Math Maths

  • Maths

    Posted by Anagha on June 5, 2023 at 3:45 pm

    In a model of factory, the chimney is 9 cm high while the chimney of the actual factory is 12 m high. If height of the actual factory is 28 m, find the height of the model of factory.

    Sarandeep replied 9 months, 3 weeks ago 3 Members · 2 Replies
  • 2 Replies
  • Ameya

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    June 5, 2023 at 8:58 pm
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    ::

    Actual height of chimney=12m=12*100 cm=1200cm

    height of model of chimney=9cm

    Using unitary method

    If actual height of chimney is 1cm then height of model of chimney=9/1200 cm =0.0075cm

    So height of model of a object of 1cm height=0.0075cm

    Now we have been given that height of factory is 28m=2800cm

    the height of model of factory= height of factory x height of model of height 1cm

    =2800*0.0075cm=21cm=0.21m

    height of model of factory=0.21m

  • Sarandeep

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    June 5, 2023 at 9:55 pm
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    ::

    First we will convert all the units in terms on centimetre

    actual height of chimney = 12m = 12*100= 1200 cm

    actual height of the factory= 28m = 28*100= 2800cm

    ratio of height of model chimney to height of actual chimney = 9/1200

    = 3/400

    height of model factory= ratio of height of model chimney to height of actual chimney* height of actual factory

    =3/400*2800

    =21cm or 0.21m

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