By what percent does the volume of a cube increase, if the lenght of each edge is increased by 50% ?​

Question

By what percent does the volume of a cube increase, if the lenght of each edge is increased by 50% ?​

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Bella 1 month 2021-08-13T04:31:45+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T04:32:53+00:00

    Answer:

    Let the edge of cube be l

    ∴ volume of cube =l

    3

    If the length of each edge was increased by 50%, then the edge of cube would have been 1.5l

    ∴ volume of new cube =(1.5l)

    3

    =3.375l

    3

    ∴ percent increase in volume =

    l

    3

    3.375l

    3

    −l

    3

    =2.375×100=237.5%

    0
    2021-08-13T04:32:59+00:00

    Answer:

    \huge\underline\bold {Answer:}

    Let each edge of the cube be x cm.

    Then, volume of the cube =

    x {}^{3}  \: cm {}^{3}

    Length of the edge after increase = 150/100 x cm = 1.5x cm.

    Therefore, increased volume

     = (1.5x) {}^{3}  \: cm  \\  3.375 {x}^{3} cm {}^{3}

    Therefore % increase

     = (3.375 {x}^{3}  - x {}^{3} ) \div  {x}^{3}

     = (2.375 \times 100)\% = 237.5\%

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