A cubical boxes whose Lenght=12cm , breath = 9cm, H=4cm are placed in big cubical box whose L=60 cm , B=45cm, H=80cm find no. of small cubic

Question

A cubical boxes whose Lenght=12cm , breath = 9cm, H=4cm are placed in big cubical box whose L=60 cm , B=45cm, H=80cm find no. of small cubical box​

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Claire 3 weeks 2021-11-06T10:03:00+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-06T10:04:13+00:00

    CORRECT QUESTION :-

    • A cubical boxes whose Lenght=12cm are placed in big cuboidal box whose L=60 cm , B=45cm, H=80cm find no. of small cubical box

    GIVEN :-

    cube

    • length (s) = 12 cm

    cuboid

    • length (l) = 60 cm
    • breath (b) = 45 cm
    • hieght (h) = 80 cm

    TO FIND :-

    • no of cubical boxes in cuboid

    SOLUTION :-

    as we know that

    number of cube ( n ) × volume of cube = volume of cuboid

    HENCE ,

     \implies \boxed {\rm{n =  \dfrac{volume \: of \: cuboid \: }{volume \: of \: cube \: } }}

    now for that we should have

    1. volume of cuboid
    2. volume of cube

    volume of cuboid

    as we know that ,

     \implies \boxed {\rm{volume \: of \: cuboid = l \times b \times h }}

    and ,

    length (l) = 60 cm

    breath (b) = 45 cm

    hieght (h) = 80 cm

    HENCE,

    \implies \rm{volume \: of \: cuboid = 60\times 45 \times 80 }

    \implies \rm{ \bold{volume \: of \: cuboid = 216000 \:  {cm}^{3} } }

    now volume of cube

    as we know that ,

     \implies \boxed {\rm{volume \: of \: cube =  {side}^{3} }}

    and ,

    length (s) = 12 cm

     \implies \rm{volume \: of \: cube =  {(12)}^{3}}

    \implies \rm{ \bf{volume \: of \: cube =  1728 \: cm {}^{3} }}

    now we have both the volumes so we will put that in formula for number of boxes

     \implies \rm{n =  \dfrac{volume \: of \: cuboid \: }{volume \: of \: cube \: } }

     \implies \rm{n =  \dfrac{216000 \: }{1728\: } }

    \implies \rm{n =  125 }

    \implies  \boxed{ \boxed{\rm{no \: of \: cubical \: boxes =  125}}}

    0
    2021-11-06T10:04:53+00:00

    Answer:

    229968

    total 532

    Step-by-step explanation:

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